Ifigenia - User contributions [en]

Issue:Intuitionistic fuzzy transport equation

2021-10-26T23:52:04Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

Issue:On а study on intuitionistic fuzzy r-normal spaces

2021-10-26T23:42:14Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

Issue:Norms over intuitionistic fuzzy congruence relations on rings

2021-10-26T23:30:28Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2021 year|{{PAGENAME}}]]
{{issue/title
| title = Norms over intuitionistic fuzzy congruence relations on rings
| shortcut = nifs/27/3/51-68
}}
{{issue/author
| author = Rasul Rasuli
| institution = Department of Mathematics, Payame Noor University (PNU)
| address = Tehran, Iran
| email-before-at = rasulirasul
| email-after-at = yahoo.com
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/27/3|Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 3]], pages 51–68
| doi = https://doi.org/10.7546/nifs.2021.27.3.51-68
| file = NIFS-27-3-51-68.pdf
| format = PDF
| size = 221
| abstract = In this paper, by using norms, we define the concept of intuitionistic fuzzy equivalence relations and intuitionistic fuzzy congruence relations on ring R and we investigate some assertions. Also we define intuitionistic fuzzy ideals of ring R under norms and compare this with fuzzy equivalence relation and fuzzy congruence relation on ring R such that we define new introduced ring.
| keywords = Rings, Ideals, Congruence relations, Fuzzy set theory, Intuitionistic mathematics, Norms, Bifuzzy equivalence relation, Bifuzzy congruence relation, Bifuzzy ideals.
| ams = 05C25, 06B10, 03E72, 47A30.
| references =
# Abu Osman, M. T. (1987). On some products of fuzzy subgroups. Fuzzy Sets and Systems, 24, 79–86.
# Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87–96.
# Buckley, J. J., & Eslami, E. (2002). An Introduction to Fuzzy Logic and Fuzzy Sets, Springer-Verlag Berlin Heidelberg GmbH.
# Dubois, D., & Prade, H. (1988). Fuzzy Sets and Systems, Academic Press, New York.
# Klaua, D. (2010). An early approach toward graded identity and graded membership in set theory. Fuzzy Sets and Systems, 161, 2369–2379.
# Liang, R., Lu, S., Wang, X., Lu, Y., Mandal, V., Patacsil, D., & Kumar, D. (2006). A Fuzzy-Set-Theory-Based Approach to Differential Gene Expression Data Analysis. BMC Bioinformatics, 7 (Suppl 4): S7. 2006.
# Malik, D. S., Mordeson, J. N., & Sen, M. K. (1997). Fundamentals of Abstract Algebra, McGraw Hill.
# Rasuli, R. (2016). Fuzzy Ideals of Subtraction Semigroups with Respect to A t-norm and A t-conorm. The Journal of Fuzzy Mathematics, Los Angeles, 24(4), 881–892.
# Rasuli, R. (2016). Fuzzy modules over a t-norm. Int. J. Open Problems Compt. Math., 9(3), 12–18.
# Rasuli, R. (2016). Fuzzy Subrings over a t-norm. The Journal of Fuzzy Mathematics, Los Angeles, 24(4), 995–1000.
# Rasuli, R. (2016). Norms over intuitionistic fuzzy subrings and ideals of a ring. Notes on Intuitionistic Fuzzy Sets, 22(5), 72–83.
# Rasuli, R. (2017). Norms over fuzzy Lie algebra. Journal of New Theory, 15, 32–38.
# Rasuli, R. (2017). Fuzzy subgroups on direct product of groups over a t-norm. Journal of Fuzzy Set Valued Analysis, 3, 96–101.
# Rasuli, R. (2017). Characterizations of intuitionistic fuzzy subsemirings of semirings and their homomorphisms by norms. Journal of New Theory, 18, 39–52.
# Rasuli, R. (2017). Intuitionistic fuzzy subrings and ideals of a ring under norms, LAP LAMBERT Academic publishing, ISBN: 978-620-2-06926-7.
# Rasuli, R. (2018). Characterization of Q-Fuzzy subrings (Anti Q-Fuzzy Subrings) with respect to a T-norm (T-Conorms). Journal of Information and Optimization Science, 31, 1–11.
# Rasuli, R. (2018). T-Fuzzy Submodules of R �M. Journal of New Theory, 22, 92–102.
# Rasuli, R. (2018). Fuzzy subgroups over a T-norm. Journal of Information and Optimization Science, 39, 1757–1765.
# Rasuli, R. (2018). Fuzzy Sub-vector Spaces and Sub-bivector Spaces under t-Norms. General Letters in Mathematics, 5, 47–57.
# Rasuli, R. (2019). Anti Fuzzy Submodules over a t-conorm and Some of Their Properties. The Journal of Fuzzy Mathematics Los Angles, 27, 229–236.
# Rasuli, R. (2019). Artinian and Noetherian Fuzzy Rings. International Journal of Open Problems in Computer Science and Mathematics, 12, 1–7.
# Rasuli, R., & Narghi, H. (2019). T-Norms Over Q-Fuzzy Subgroups of Group. Jordan Journal of Mathematics and Statistics (JJMS), 12, 1–13.
# Rasuli, R. (2019). Fuzzy equivalence relation, fuzzy congrunce relation and fuzzy normal subgroups on group G over t-norms. Asian Journal of Fuzzy and Applied Mathematics, 7, 14–28.
# Rasuli, R. (2019). Norms over anti fuzzy G-submodules, MathLAB Journal, 2, 56–64.
# Rasuli, R. (2019). Norms over bifuzzy bi-ideals with operators in semigroups. Notes on Intuitionistic Fuzzy Sets, 25, 1–11.
# Rasuli, R.(2019). Norms Over Basic Operations on Intuitionistic Fuzzy Sets. The Journal of Fuzzy Mathematics, Los Angles, 27(3), 561–582.
# Rasuli, R. (2019). T-fuzzy Bi-ideals in Semirings. Earthline Journal of Mathematical Sciences, 27(1), 241–263.
# Rasuli, R. (2019). Norms Over Intuitionistic Fuzzy Vector Spaces. Algebra Letters, 1(1), 1–19.
# Rasuli, R. (2019). Some Results of Anti Fuzzy Subrings Over t-Conorms. MathLAB Journal, 1(4), 25–32.
# Rasuli, R. (2020). Anti Fuzzy Equivalence Relation on Rings with respect to t-conorm C. Earthline Journal of Mathematical Sciences, 3(1), 1–19.
# Rasuli, R. (2020). Anti Fuzzy Subbigroups of Bigroups under t-conorms. The Journal of Fuzzy Mathematics, Los Angles, 28(1), 181–200.
# Rasuli, R. (2020). t-norms over Fuzzy Multigroups. Earthline Journal of Mathematical Sciences, 3(2), 207–228.
# Rasuli, R. (2020). Anti Q-fuzzy subgroups under t-conorms. Earthline Journal of Mathematical Sciences, 4(1), 13–28.
# Rasuli, R. (2020). Anti Fuzzy Congruence on Product Lattices with respect to S-norms. The Second National Congress on Mathematics and Statistics, Conbad Kavous University.
# Rasuli, R. (2020). Direct product of fuzzy multigroups under t-norms. Open Journal of Discrete Applied Mathematics (ODAM), 3(1), 75–85.
# Rasuli, R. (2020). Level subsets and translations of QF ST(G). MathLAB Journal, 5(1), 1–11.
# Rasuli, R. (2020). Conorms over anti fuzzy vector spaces. Open Journal of Mathematical Sciences, 4, 158–167.
# Rasuli, R. (2020). Intuitionistic fuzzy subgroups with respect to norms (T, S). Eng. Appl. Sci. Lett. (EASL), 3(2), 40–53.
# Rasuli, R., Moatamedi Nezhad, M., & Naraghi, H. (2020). Characterization of TF(G) and direct product of it. The First National Conference on Soft Computing and Cognitive Science, Conbad Kavous University, July 2020.
# Rasuli, R. (2020). Anti complex fuzzy subgroups under s-norms.Eng. Appl. Sci. Lett. (EASL), 3(4), 1–10.
# Rasuli, R., & Moatamedi Nezhad, M. M. (2020). Characterization of Fuzzy modules and anti fuzzy modules under norms. The First International Conference on Basic Sciences, Tehran, October 21.
# Rasuli R., & Moatamedi Nezhad, M. M. (2020). Fuzzy subrings and anti fuzzy subrings under norms. The First International Conference on Basic Sciences, Tehran, October 21.
# Rasuli, R. (2021). Anti Q-fuzzy translations of anti Q-soft subgroups. The Third national Conference on Managent and Fuzzy Systems, University of Eyvanekey, March 2021.
# Rasuli, R. (2021). Conorms over conjugates and generalized characterestics of anti Q-fuzzy subgroups. The Third national Conference on Managent and Fuzzy Systems, University of Eyvanekey, March 2021.
# Rasuli, R. (2021). Fuzzy congruence on product lattices under T-norms. Journal of Information and Optimization Sciences, 42(2), 333–343.
# Rasuli, R. (2021). Intuitionistic fuzzy congruences on product lattices under norms. Journal of Interdisciplinary Mathematics, 24(2), 1–24.
# Rasuli, R. (2021). Conorms over level subsets and translations of anti Q-fuzzy Subgroups. International Journal of Mathematics and Computation, 32(2), 55–67.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.
| citations =
| see-also =
}}

Issue:Application of intuitionistic fuzzy sets to environmental management

2021-10-26T09:38:22Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2021 year|{{PAGENAME}}]]
{{issue/title
| title = Application of intuitionistic fuzzy set to environmental management
| shortcut = nifs/27/3/40-50
}}
{{issue/author
| author = I. M. Adamu
| institution = Department of Mathematics, Federal University Dutse
| address = P.M.B 7156, Dutse, Jigawa State, Nigeria
| email-before-at = idreesmuhammadadam
| email-after-at = gmail.com
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/27/3|Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 3]], pages 40–50
| doi = https://doi.org/10.7546/nifs.2021.27.3.40-50
| file = NIFS-27-3-40-50.pdf
| format = PDF
| size = 180
| abstract = Environmental management is a decision making problem with a great deal of uncertainties. Intuitionistic fuzzy sets provide a model to elaborate these uncertainties and vagueness involve in decision making. This paper, proposes an application of intuitionistic fuzzy set to environmental management in order to determine the type of erosion(s) affecting some towns for an effective control measure that has to be taken using a distance function. In order to achieve this, a set of erosions and their causes are assumed, and also we assume a survey for the set of towns to determine the type of erosion approaching them for an effective control measure to be taken.
| keywords = Fuzzy sets, Intuitionistic fuzzy sets, Environmental management, Erosion.
| ams = 20N20, 03E72.
| references =
# Atanassov, K. (1983). Intuitionistic Fuzzy sets. VII ITKR Session, Bulgarian: Central Science-Technical Academy of Science, 1697/84.
# Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1988). Review and new results on intuitionistic fuzzy sets. Preprint IM-MFAIS-1-88, Sofia.
# Atanassov, K. T. (1989). More on intuitionistic fuzzy sets. Fuzzy Sets and Systems, 33(1), 37–46.
# Atanassov, K. T. (1991). Temporal intuitionistic fuzzy sets. Compt. Rend. Acad. Bulgare. Sci., 44(7), 5–7.
# Atanassov, K. T. (1992). Remark on the intuitionistic fuzzy sets. Fuzzy Sets and Systems, 51(1), 117–118.
# Atanassov, K. T. (1994). New operations defined over Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 61(2), 137–142.
# Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, Heidelberg.
# Atanassov, K. T. (2003). Intuitionistic fuzzy sets – Past, present, and future. 3rd Conference of the European Society for Fuzzy Logic and Technology, Zittau, Germany, 10–12 September 2003, 12–19.
# Atanassov, K. T. (2012). On Intuitionistic Fuzzy Sets. Springer-Verlag, Heidelberg.
# Atanassova, L. C. (1995). Remark on the cardinality of intuitionistic fuzzy sets. Fuzzy Sets and Systems, 75, 399–400.
# Bustince, H., Kacprzyk, J., & Mohedano, V. (2000). Intuitionistic fuzzy generators, applications to intuitionistic fuzzy complementation. Fuzzy Sets and Systems, 144, 485–504.
# De, S. K., Biswas, R., & Roy, A. R. (2000). Some operations on intuitionistic fuzzy sets. Fuzzy Sets and Systems, 114, 477–484.
# De, S. K., Biswas, R., & Roy, A. R. (2001). An application of intuitionistic fuzzy sets in medical diagnostic. Fuzzy sets and Systems, 117(2), 209–213.
# Ejegwa, P. A. (2020). An improved correlation coefficient between intuitionistic fuzzy sets and its applications to real-life decision-making problems. Notes on Intuitionistic Fuzzy Sets, 26(2), 1–14.
# Ejegwa, P. A. (2020). Modified and generalized correlation coefficient between intuitionistic fuzzy sets with applications. Notes on Intuitionistic Fuzzy Sets, 26(1), 8–22.
# Ejegwa, P. A. (2021). Novel correlation coefficient for intuitionistic fuzzy sets and its application to multi-criteria decision-making problems. International Journal of Fuzzy System Applications, 10(2), 39–58.
# Ejegwa, P.A., & Adamu, I. M. (2019). Distances between intuitionistic fuzzy sets of second type with application to diagnostic medicine. Notes on Intuitionistic Fuzzy Sets, 25(3), 53–70.
# Ejegwa, P. A., Akowe, S. O., Otene, P. M., & Ikyule, J. M. (2014). An overview on intuitionistic fuzzy sets. International Journal of Scientific and Technological Research, 3(3), 142–145.
# Ejegwa, P. A., Akubo, A. J., & Joshua, O. M. (2014). Intuitionistic fuzzy set and its application in career determination via normalized Euclidean distance method. European Scientific Journal, 10(15), 529–536.
# Ejegwa, P. A., & Onasanya, B. O. (2019). Improved intuitionistic fuzzy composite relation and its application to medical diagnostic process. Notes on Intuitionistic Fuzzy Sets, 25(1), 43–58.
# Ejegwa, P. A., & Onyeke, I. C. (2019). An object oriented approach to the application of intuitionistic fuzzy sets in competency based test evaluation. Annals of Communications in Mathematics, 1(1), 38–47.
# Ejegwa, P. A., & Onyeke, I. C. (2020). Medical diagnostic analysis on some selected patients based on modified Thao et al.’s correlation coefficient of intuitionistic fuzzy sets via an algorithmic approach. Journal of Fuzzy Extension and Applications, 1(2), 130–141.
# Ejegwa, P. A., & Onyeke, I. C. (2021). Intuitionistic fuzzy statistical correlation algorithm with applications to multi-criteria based decision-making processes. International Journal of Intelligent Systems, 36(3), 1386–1407.
# Ejegwa, P. A., Onyeke, I. C., & Adah, V. (2020). An algorithm for an improved intuitionistic fuzzy correlation measure with medical diagnostic application. Annals of Optimization Theory and Practice, 3(3), 51–66.
# Ejegwa, P. A., Uleh, B. S., & Onwe, E. (2014). Intuitionistic fuzzy sets in electoral system. International Journal of Science and Technology, 3(4), 241–243.
# Hatzimichailidis, A. G, Papakostas, G. A., & Kaburlasos, V. G. (2012). A novel distance measures of intuitionistic fuzzy sets and its application to pattern recognition applications. Technological Educational Inst. of Kavala, Dept. of Industrial Informatics, 65404 Kavala, Greece.
# Huawen, L. (2000). Axiomatic construction for intuitionistic fuzzy sets, The Journal ofFuzzy Mathematics, 8(3), 645–650.
# Ibrahim, A. M., & Ejegwa, P. A. (2013). Remark on some operations in intuitionistic fuzzy sets. International Journal of Science and Technology, 2(1), 94–96.
# Li, D., & Cheng, C. (2002). New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions. Pattern Recognition Letters, 23, 221–225.
# Szmidt, E. (2014). Distances and Similarities in Intuitionistic Fuzzy Sets, Springer.
# Szmidt, E., & Kacprzyk, J. (1997). On measuring distances between intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 3(4), 1–13.
# Szmidt, E., & Kacprzyk, J. (2000). Distances between intuitionistic fuzzy Sets. Fuzzy Sets and Systems, 114(3), 505–518.
# Szmidt, E., & Kacprzyk, J. (2001). Intuitionistic fuzzy sets in some medical applications. Notes on Intuitionistic Fuzzy Sets, 7(4), 58–64.
# Szmidt, E., & Kacprzyk, J. (2004). Medical diagnostic reasoning using a similarity measure for intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 10(4), 61–69.
# Takeuti, G., & Titani, S. (1984). Intuitionistic fuzzy logic and Intuitionistic fuzzy set theory. Journal of Symbolic Logic, 49, 851–866.
# Wang, W., & Xin, X. (2005). Distance measure between intuitionistic fuzzy sets. Pattern Recognition Letters, 26, 2063–2069.
# Ye, J. (2011). Cosine similarity measures for intuitionistic fuzzy sets and their applications. Mathematics and Computer Modelling, 53, 91–97.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.
# Zeng, W., & Li, H. (2006). Note on some operations on intuitionistic fuzzy sets. Fuzzy Sets and Systems, 157, 990–991.
| citations =
| see-also =
}}

Issue:Modifications of Łukasiewicz's intuitionistic fuzzy implication

2021-10-25T23:14:05Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

Issue:Research on intuitionistic fuzzy negations

2021-10-25T22:56:17Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2021 year|{{PAGENAME}}]]
{{issue/title
| title = Research on intuitionistic fuzzy negations
| shortcut = nifs/27/3/18-31
}}
{{issue/author
| author = Nora Angelova
| institution = Faculty of Mathematics and Informatics, Sofia University
| address = 5 James Bourchier Blvd., 1164 Sofia, Bulgaria
| email-before-at = noraa
| email-after-at = fmi.uni-sofia.bg
}}
{{issue/author
| author = Krassimir T. Atanassov
| institution = Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/27/3|Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 3]], pages 18–31
| doi = https://doi.org/10.7546/nifs.2021.27.3.18-31
| file = NIFS-27-3-18-31.pdf
| format = PDF
| size = 178
| abstract = In the theories of intuitionistic fuzzy sets and intuitionistic fuzzy logics, there are 54 different negations. Here, we check the relationship between every two of them.
| keywords = Intuitionistic fuzzy negation, Intuitionistic fuzzy implication, Intuitionistic fuzzy pair, Intuitionistic fuzzy set.
| ams = 03E72.
| references =
# Angelova, N. (2019). IFSTool – Software for intuitionistic fuzzy sets – Necessity, Possibility and Circle operators. Advances in Intelligent Systems and Computing, issue:1081, Publisher:Springer, 76–81.
# Angelova, N., & Atanassov, K. (2015). Intuitionistic Fuzzy Implications and the Axioms of Intuitionistic Logic. In: Proc. of the 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30.06-03.07.2015, Gijon, Spain, 1578–1584.
# Angelova, N., & Atanassov, K. (2016). Intuitionistic Fuzzy Implications and Klir–Yuan’s Axioms. Novel Developments in Uncertainty Representation and Processing. Advances in Intuitionistic Fuzzy Sets and Generalized Nets, Advances in Intelligent Systems and Computing, 401. Atanassov, K.T., Castillo, O., Kacprzyk, J., Krawczak, M., Melin, P., Sotirov, S., Sotirova, E., Szmidt, E., De Tr´e, G., Zadro˙zny, S. (Eds.), 97–110.
# Angelova, N., & Atanassov, K. (2021). Research on intuitionistic fuzzy implications. Notes on Intuitionistic Fuzzy Sets, 27(2), 20–93.
# Angelova, N., Marinov, E., & Atanassov, K. (2015). Intuitionistic fuzzy implications and Kolmogorov’s and Łukasiewisz–Tarski’s axioms of logic. Notes on Intuitionistic Fuzzy Sets, 21(2), 35–42.
# Atanassov, K. (1988). Two variants of intuitonistic fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia.
# Atanassov, K. (2005). On some intuitionistic fuzzy negations. Proc. of the First Int. Workshop on IFSs, Banska Bystrica, 22 Sept. 2005. Notes on Intuitionistic Fuzzy Sets, 11(6), 13–20.
# Atanassov, K. (2006). A new intuitionistic fuzzy implication from a modal type. Advanced Studies on Contemporary Mathematics, 12 (1), 117–122.
# Atanassov, K. (2006). On eight new intuitionistic fuzzy implications. Proc. of 3rd Int. IEEE Conf. “Intelligent Systems” IS06, London, 4-6 Sept. 2006, 741–746.
# Atanassov, K. (2006). On some intuitionistic fuzzy implications. Comptes Rendus de l’Academie bulgare des Sciences, 59(1), 19–24.
# Atanassov, K. (2008). On intuitionistic fuzzy implication →<math>^\epsilon</math> and intuitionistic fuzzy negation ¬<math>^\epsilon</math>. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 6, 6–19.
#Atanassov, K. (2008). Intuitionistic fuzzy implication →<math>^{\epsilon, \eta}</math> and intuitionistic fuzzy negation ¬<math>^{\epsilon, \eta}</math>. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, 1, 1–10.
#Atanassov, K. (2011). Second Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 17(3), 11–14.
# Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
# Atanassov, K. (2015). On a new intuitionistic fuzzy implication. In: Proc of the 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30.06-03.07.2015, Gijon, Spain, 1592–1597.
# Atanassov, K. (2016). On intuitionistic fuzzy implications. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 12, 1–19.
# Atanassov, K. (2017). Intuitionistic Fuzzy Logics, Springer, Cham.
# Atanassov, K (2021). Third Zadeh’s Intuitionistic Fuzzy Implication. Mathematics, 9(6), 619.
# Atanassov, K., & Angelova, N. (2021). Modifications of the Third Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 27(1), 9 -23.
# Atanassov, K., & Angelova, N. (2016). Properties of intuitionistic fuzzy implications and negations. Notes on Intuitionistic Fuzzy Sets, 22(3), 25–33.
# Atanassov, K., Angelova, N.& Atanassova, V. (2021). On an Intuitionistic Fuzzy Form of the Goguen’s Implication. Mathematics, 9(6), 676.
# Atanassov, K., & Dimitrov, D. (2010). Intuitionistic fuzzy implications and axioms for implications. Notes in Intuitionistic Fuzzy Sets, 16(1), 10–20.
# Atanassov, K., Ribagin, S., Doukovska, L., & Atanassova, V. (2017). Intuitionistic fuzzy →<math>_190</math>. Notes on Intuitionistic Fuzzy Sets, 23(4), 79–83.
# Atanassov, K., & Szmidt, E. (2014). Remark on intuitionistic fuzzy implication →<math>^{\epsilon, \eta}</math>. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 11, 9–14.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
# Atanassov, K., Szmidt, E. & Kacprzyk, J. (2015). On Fodor’s type of intuitionistic fuzzy implication and negation. Notes on Intuitionistic Fuzzy Sets, 21(2), 25–34.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2016). New Fodor’s Type Of Intuitionistic Fuzzy Implication and Negation. Notes on Intuitionistic Fuzzy Sets, 22(3), 1–8.
# Atanassov, K., Szmidt, E., Kacprzyk, J., & Angelova, N. (2019). Intuitionistic fuzzy implications revisited. Part 1. Notes on Intuitionistic Fuzzy Sets, 25(3), 71–78.
# Atanassov, K., & Trifonov, T. (2005). On a new intuitionistic fuzzy implication of Godel’s type. Proceedings of the Jangjeon Mathematical Society, 8(2), 147–152.
# Atanassov, K., & Trifonov, T. (2006). Two new intuitionistic fuzzy implications. Advanced Studies on Contemporary Mathematics, 13(1), 69–74.
# Atanassova, L. (2008). On an intuitionistic fuzzy implication from Kleene-Dienes type. Proceedings of the Jangjeon Mathematical Society, 11(1), 69–74.
# Atanassova, L. (2008). Modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Advanced Studies in Contemporary Mathematics, 16 (2), 155–160.
# Atanassova, L. (2008). New modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Part 2. Annual of Section “Informatics”, 1, 59–64.
# Atanassova, L. (2009). New modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Part 3. Advanced Studies in Contemporary Mathematics, 18 (1), 33–40.
# Atanassova, L. (2009). A new intuitionistic fuzzy implication. Cybernetics and Information Technologies, 9(2), 21–25.
# Atanassova, L. (2009). On some properties of intuitionistic fuzzy negation ¬@. Notes on Intuitionistic Fuzzy Sets, 15(1), 32–35.
# Atanassova, L. (2012). On two modifications of the intuitionistic fuzzy implication →@. Notes on Intuitionistic Fuzzy Sets, 18(2), 26–30
# Atanassova, L. (2013). On the modal form of the intuitionistic fuzzy implications →'@ and →''@. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 10, 5–11.
# Atanassova, L. (2013). On the intuitionistic fuzzy form of the classical implication <math> (A \rightarrow B)\vee(B\rightarrow A)</math>. Notes on Intuitionistic Fuzzy Sets, 19(4), 15–18.
# Atanassova, L. (2014). Remark on the intuitionistic fuzzy forms of two classical logic axioms. Part 1. Annual of Section “Informatics”, 7, 24–27.
# Atanassova, L. (2014). Remark on the intuitionistic fuzzy forms of two classical logic axioms. Part 2. Notes on Intuitionistic Fuzzy Sets, 20(4), 10–13.
# Atanassova, L. (2015). Remark on Dworniczak’s intuitionistic fuzzy implications. Part 1. Notes on Intuitionistic Fuzzy Sets, 21(3), 18–23.
# Atanassova, L. (2015). Remark on Dworniczak’s intuitionistic fuzzy implications. Part 2. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 12, 61–67.
# Atanassova, L. (2016). Remark on Dworniczak’s intuitionistic fuzzy implications. Part 3. Notes on Intuitionistic Fuzzy Sets, 22(1), 1–6.
# Atanassova, L. (2017). Properties of the intuitionistic fuzzy implication →189. Notes on Intuitionistic Fuzzy Sets, 23(4), 10–14.
# Dworniczak, P. (2010). Some remarks about the L. Atanassova’s paper “A new intuitionistic fuzzy implication”, Cybernetics and Information Technologies, 10(3), 3–9.
# Dworniczak, P. (2010). On one class of intuitionistic fuzzy implications. Cybernetics and Information Technologies, 10(4), 13–21.
# Dworniczak, P. (2011). On some two-parametric intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 17(2), 8–16.
# Klir, G., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey.
# Szmidt, E., Kacprzyk, J., & Atanassov, K. (2015). Properties of Fodor’s intuitionistic fuzzy implication and negation. Notes on Intuitionistic Fuzzy Sets, 21(4), 6–12.
# Szmidt, E., Kacprzyk, J., & Atanassov, K. (2015). Modal forms of Fodor’s type of intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 21(5), 1–5.
# Vassilev, P., & Atanassov, K. (2019). Extensions and Modifications of Intuitionistic Fuzzy Sets. “Prof. Marin Drinov” Academic Publishing House, Sofia.
| citations =
| see-also =
}}

Issue:On intuitionistic fuzzy version of Zadeh's extension principle

2021-10-25T22:17:25Z

Velin S. Andonov:

Issue:On intuitionistic fuzzy version of Zadeh's extension principle

2021-10-25T22:09:35Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

Issue:My meetings with Prof. Lotfi Zadeh

2021-10-25T21:48:24Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

On the weak intuitionistic fuzzy implication based on △ operation

2021-09-10T14:32:00Z

Velin S. Andonov:

File:NIFS-27-2-20-93.pdf

2021-08-21T19:42:06Z

Velin S. Andonov: Velin S. Andonov uploaded a new version of File:NIFS-27-2-20-93.pdf

== Summary ==
{{upload
| description = nifs 27-2
| author =
| source =
| date =
| license =
| other-version =
}}

Research on intuitionistic fuzzy implications

2021-08-21T19:39:00Z

Velin S. Andonov:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2021 year|{{PAGENAME}}]]
{{issue/title
| title = Research on intuitionistic fuzzy implications
| shortcut = nifs/27/2/20-93
}}
{{issue/author
| author = Nora Angelova
| institution = Faculty of Mathematics and Informatics, Sofia University
| address = 5 James Bourchier Blvd., 1164 Sofia, Bulgaria
| email-before-at = noraa
| email-after-at = fmi.uni-sofia.bg
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
| institution-2 = Intelligent Systems Laboratory, Prof. Dr. Asen Zlatarov University
| address-2 = 8010 Burgas, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/27/2|Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 2]], pages 20–93
| doi = https://doi.org/10.7546/nifs.2021.27.2.20-93
| file = NIFS-27-2-20-93.pdf
| format = PDF
| size = 289
| abstract = Currently in the theories of intuitionistic fuzzy sets, logics and pairs, there are 198 different implications. Here, we check the relationships between every two of them.
| keywords = Intuitionistic fuzzy implication, Intuitionistic fuzzy pair, Intuitionistic fuzzy set.
| ams =
| references =

# Angelova, N. (2019). IFSTOOL - Software for intuitionistic fuzzy sets – Necessity, Possibility and Circle operators. Advances in Intelligent Systems and Computing,issue:1081, Springer, 76–81.
# Angelova, N., & Atanassov, K. (2015). Intuitionistic Fuzzy Implications and the Axioms of Intuitionistic Logic. In: Proc. of the 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30.06-03.07.2015, Gijon, Spain, 1578–1584.
# Angelova, N., & Atanassov, K. (2016). Intuitionistic Fuzzy Implications and Klir-Yuan’s Axioms. Novel Developments in Uncertainty Representation and Processing. Advances in Intuitionistic Fuzzy Sets and Generalized Nets, Advances in Intelligent Systems and Computing, 401. Atanassov, K.T., Castillo, O., Kacprzyk, J., Krawczak, M., Melin, P., Sotirov, S., Sotirova, E., Szmidt, E., De Tre, G., Zadrozny, S. (Eds.), 97–110.
# Angelova, N., Marinov, E., & Atanassov, K. (2015). Intuitionistic fuzzy implications and Kolmogorov’s and Łukasiewicz–Tarski’s axioms of logic. Notes on Intuitionistic Fuzzy Sets, 21 (2), 35–42.
# Atanassov, K. (1988). Two variants of intuitonistc fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia.
# Atanassov, K. (2005). On some intuitionistic fuzzy negations. Proc. of the First Int. Workshop on IFSs, Banska Bystrica, 22 Sept. 2005. Notes on Intuitionistic Fuzzy Sets, 11(6), 13–20.
# Atanassov, K. (2006). On some intuitionistic fuzzy implications. Comptes Rendus de l’Academie bulgare des Sciences, 59 (1), 19–24.
# Atanassov, K. (2006). A new intuitionistic fuzzy implication from a modal type. Advanced Studies on Contemporary Mathematics, 12 (1), 117–122.
# Atanassov, K. (2006). On eight new intuitionistic fuzzy implications. Proc. of 3rd Int. IEEE Conf. “Intelligent Systems” IS06, London, 4-6 Sept. 2006, 741–746.
# Atanassov, K. (2008). On intuitionistic fuzzy implication →ε and intuitionistic fuzzy negation ¬ε. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 6, 6–19.
# Atanassov, K. (2008). Intuitionistic fuzzy implication →ε,η and intuitionistic fuzzy negation ¬ε,η. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, 1, 1–10.
# Atanassov, K. (2011). Second Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets. 17 (3), 11–14.
# Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
# Atanassov, K. (2015). On a New Intuitionistic Fuzzy Implication. In: Proc of the 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30.06-03.07.2015, Gijon, Spain, 1592–1597.
# Atanassov, K. (2016). On intuitionistic fuzzy implications, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 12, 1–19.
# Atanassov, K. (2017). Intuitionistic Fuzzy Logics, Springer, Cham.
# Atanassov, K (2021). Third Zadeh’s Intuitionistic Fuzzy Implication. Mathematics, 9, 619. https://doi.org/10.3390/math9060619
# Atanassov, K., & Angelova, N. (2021). Modifications of the Third Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 27 (1), 9–23.
# Atanassov, K.,& Angelova, N. (2016). Properties of intuitionistic fuzzy implications and negations. Notes on Intuitionistic Fuzzy Sets, 22 (3) , 25–33.
# Atanassov, K., Angelova, N. & Atanassova, V. (2021). On an Intuitionistic Fuzzy Form of the Goguen’s Implication. Mathematics, 9, 676. https://doi.org/10.3390/math9060676
# Atanassov, K., & Dimitrov, D. (2010). Intuitionistic fuzzy implications and axioms for implications. Notes in Intuitionistic Fuzzy Sets, 16, (1), 10–20.
# Atanassov, K., & Kolev, B. (2006). On an intuitionistic fuzzy implication from a probabilistic type. Advanced Studies on Contemporary Mathematics, 12 (1), 111–116.
# Atanassov, K., S. Ribagin, L. Doukovska, & V. Atanassova (2017). Intuitionistic fuzzy implication →190. Notes on Intuitionistic Fuzzy Sets, 23 (4), 79–83.
# Atanassov, K., & Szmidt, E. (2014). Remark on intuitionistic fuzzy implication →ε,η. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 11, 9-14.
# Atanassov, K., Szmidt, E., & Angelova, N.(2017). Properties of the intuitionistic fuzzy implication →187. Notes on Intuitionistic Fuzzy Sets, 23 (3), 3–8.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19 (3), 1–13.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2015). On Fodor’s type of intuitionistic fuzzy implication and negation. Notes on Intuitionistic Fuzzy Sets, 21 (2), 25–34.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2016). New Fodor’s Type Of Intuitionistic Fuzzy Implication and Negation. Notes on Intuitionistic Fuzzy Sets, 22 (3), 1–8.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017). On intuitionistic fuzzy implication →187. Notes on Intuitionistic Fuzzy Sets, 23 (2), 37–43.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017). On intuitionistic fuzzy implication →188. Notes on Intuitionistic Fuzzy Sets, 23 (1), 6–13.
# Atanassov, K., Szmidt, E., Kacprzyk, J., & Angelova, N. (2019). Intuitionistic fuzzy implications revisited. Part 1. Notes on Intuitionistic Fuzzy Sets, 25(3), 71–78.
# Atanassov, K., & Trifonov, T. (2005). On a new intuitionistic fuzzy implication of Godel’s type. Proceedings of the Jangjeon Mathematical Society, 8 (2), 147–152.
# Atanassov, K., & Trifonov, T. (2006). Two new intuitionistic fuzzy implications. Advanced Studies on Contemporary Mathematics, 13 (1), 69–74.
# Atanassova, L. (2008). On an intuitionistic fuzzy implication from Kleene-Dienes type. Proceedings of the Jangjeon Mathematical Society, 11 (1), 69–74.
# Atanassova, L. (2008). Modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Advanced Studies in Contemporary Mathematics, 16 (2), 155–160.
# Atanassova, L. (2008). New modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Part 2. Annual of Section “Informatics”, 1, 59–64.
# Atanassova, L. (2009). New modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Part 3. Advanced Studies in Contemporary Mathematics, 18 (1), 33–40.
# Atanassova, L. (2009). A new intuitionistic fuzzy implication. Cybernetics and Information Technologies, 9 (2), 21–25.
# Atanassova, L. (2009). On some properties of intuitionistic fuzzy negation ¬@. Notes on Intuitionistic Fuzzy Sets, 15 (1), 32–35.
# Atanassova, L. (2012). On two modifications of the intuitionistic fuzzy implication →@. Notes on Intuitionistic Fuzzy Sets, 18 (2), 26–30.
# Atanassova, L. (2013). On the modal form of the intuitionistic fuzzy implications →'@ and →"@. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 10, 5–11.
# Atanassova, L. (2013). On the intuitionistic fuzzy form of the classical implication (A → B) V (B → A). Notes on Intuitionistic Fuzzy Sets, 19 (4), 15–18.
# Atanassova, L. (2014). Remark on the intuitionistic fuzzy forms of two classical logic axioms. Part 1. Annual of Section “Informatics”, 7, 24–27.
# Atanassova, L. (2014). Remark on the intuitionistic fuzzy forms of two classical logic axioms. Part 2. Notes on Intuitionistic Fuzzy Sets, 20 (4), 10–13.
# Atanassova, L. (2015). Remark on Dworniczak’s intuitionistic fuzzy implications. Part 1. Notes on Intuitionistic Fuzzy Sets, 21 (3), 18–23.
# Atanassova, L. (2015) Remark on Dworniczak’s intuitionistic fuzzy implications. Part 2. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 61–67.
# Atanassova, L. (2016). Remark on Dworniczak’s intuitionistic fuzzy implications. Part 3. Notes on Intuitionistic Fuzzy Sets, 22 (1), 1–6.
# Atanassova, L. (2017). Intuitionistic fuzzy implication →189. Notes on Intuitionistic Fuzzy Sets, 2 (1), 14–20.
# Atanassova, L. (2017). Properties of the intuitionistic fuzzy implication →189. Notes on Intuitionistic Fuzzy Sets, 23 (4), 10–14.
# Dworniczak, P. (2010). Some remarks about the L. Atanassova’s paper “A new intuitionistic fuzzy implication”. Cybernetics and Information Technologies, 10 (3), 3–9.
# Dworniczak, P. (2010). On one class of intuitionistic fuzzy implications. Cybernetics and Information Technologies, 10 (4), 13–21.
# Dworniczak, P. (2011). On some two-parametric intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 17 (2), 8–16.
# Feys, R. (1965). Modal Logics. Gauthier-Villars, Paris.
# Klir, G., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey.
# Riecan, B., & Atanassov., K. (2007). On a new intuitionistic fuzzy implication of Gaines-Rescher’s type. Notes on Intuitionistic Fuzzy Sets, 13 (4), 1–4.
# Szmidt, E., Kacprzyk, J., & Atanassov, K. (2015). Modal forms of Fodor’s type of intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 21 (5), 1–5.
# Szmidt, E., Kacprzyk, J., & Atanassov, K. (2015). Properties of Fodor’s intuitionistic fuzzy implication and negation. Notes on Intuitionistic Fuzzy Sets, 21 (4), 6–12.
# Vassilev, P., & Atanassov, K. (2019). Extensions and Modifications of Intuitionistic Fuzzy Sets. “Prof. Marin Drinov” Academic Publishing House, Sofia.
# Vassilev, P., Ribagin, S., & Kacprzyk, J. (2018). A remark on intuitionistic fuzzy implications. Notes on Intuitionistic Fuzzy Sets, 24 (2), 1–7.
| citations =
| see-also =
}}

Martingale convergence theorem for a conditional intuitionistic fuzzy mean value

2021-08-20T22:41:59Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Martingale convergence theorem for a conditional intuitionistic fuzzy mean value
| shortcut = nifs/27/2/94-102
}}
{{issue/author
| author = Katarína Čunderlíková
| institution = Mathematical Institute, Slovak Academy of Sciences
| address = Stefanikova 49, 814 73 Bratislava, Slovakia
| email-before-at = cunderlikova.lendelova
| email-after-at = gmail.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/27/2|Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 2]], pages 94–102
| doi = https://doi.org/10.7546/nifs.2021.27.2.94-102
| file = NIFS-27-2-94-102.pdf
| format = PDF
| size = 205
| abstract = The aim of this contribution is to show a representation of a conditional intuitionistic fuzzy mean value of intuitionistic fuzzy observables by a conditional mean value of random variables. We formulate a martingale convergence theorem for a conditional intuitionistic fuzzy
mean value, too.
| keywords = Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Product, Conditional intuitionistic fuzzy mean value, Martingale convergence theorem.
| ams = 03B52, 60A86, 60A10, 60G48.
| references =

# Atanassov, K. T. (2016). Intuitionistic fuzzy sets. VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Repr. Int. J. Bioautomation, 20, S1–S6.
# Atanassov, K. T. (2012). On Intuitionistic Fuzzy Sets, Springer, Berlin.
# Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Physica Verlag, New York.
# Čunderlíková, K. (2021). Conditional intuitionistic fuzzy mean value. Axioms, 10(2), Article No. 97.
# Čunderlíková, K. (2020). A note on mean value and dispersion of intuitionistic fuzzy events. Notes on Intuitionistic Fuzzy Sets, 26 (4), 1–8.
# Lendelová, K. (2006). Conditional IF-probability. Advances in Soft Computing: Soft Methods for Integrated Uncertainty Modelling, 37, Springer, Berlin, Heidelberg, 275–283.
# Lendelová, K., & Rieˇcan, B. (2004). Weak law of large numbers for IF-events. Current Issues in Data and Knowledge Engineering, Bernard De Baets et al. eds., EXIT, Warszawa, 309–314.
# Riečan, B. (2012). Analysis of fuzzy logic models. Intelligent systems (V. Koleshko ed.), INTECH, 219–244.
# Riečan, B. (2006). On the probability and random variables on IF events. Applied Artifical Intelligence, Proc. 7th FLINS Conf. Genova, D. Ruan et al. eds., 138–145.
# Riečan, B., & Neubrunn, T. (1997). Integral, Measure, and Ordering, Kluwer Academic Publishers, Dordrecht and Ister Science, Bratislava.
# Zadeh, L.A. (1965). Fuzzy sets. Information and Control, 8, 338–358.
# Zadeh, L. A. (1968). Probability measures on fuzzy sets. Journal of Mathematical Analysis and Applications, 23, 421–427.

| citations =
| see-also =
}}

File:NIFS-27-2-94-102.pdf

2021-08-20T22:41:05Z

Velin S. Andonov: {{upload | description = nifs 27-2-94-102 | author = | source = | date = | license = | other-version = }}

== Summary ==
{{upload
| description = nifs 27-2-94-102
| author =
| source =
| date =
| license =
| other-version =
}}

Research on intuitionistic fuzzy implications

2021-08-20T22:28:25Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2021 year|{{PAGENAME}}]]
{{issue/title
| title = Research on intuitionistic fuzzy implications
| shortcut = nifs/27/2/20-93
}}
{{issue/author
| author = Nora Angelova
| institution = Faculty of Mathematics and Informatics, Sofia University
| address = 5 James Bourchier Blvd., 1164 Sofia, Bulgaria
| email-before-at = noraa
| email-after-at = fmi.uni-sofia.bg
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
| institution-2 = Intelligent Systems Laboratory, Prof. Dr. Asen Zlatarov University
| address-2 = 8010 Burgas, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/27/2|Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 2]], pages 20–93
| doi = https://doi.org/10.7546/nifs.2021.27.2.20-93
| file = NIFS-27-2-20-93.pdf
| format = PDF
| size = 289
| abstract = Currently in the theories of intuitionistic fuzzy sets, logics and pairs, there are 198 different implications. Here, we check the relationship between every two of them.
| keywords = Intuitionistic fuzzy implication, Intuitionistic fuzzy pair, Intuitionistic fuzzy set.
| ams =
| references =

# Angelova, N. (2019). IFSTOOL - Software for intuitionistic fuzzy sets – Necessity, Possibility and Circle operators. Advances in Intelligent Systems and Computing,issue:1081, Springer, 76–81.
# Angelova, N., & Atanassov, K. (2015). Intuitionistic Fuzzy Implications and the Axioms of Intuitionistic Logic. In:Proc. of the 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30.06-03.07.2015, Gijon, Spain, 1578–1584.
# Angelova, N., & Atanassov, K. (2016). Intuitionistic Fuzzy Implications and Klir-Yuan’s Axioms.Novel Developments in Uncertainty Representation and Processing. Advances in Intuitionistic Fuzzy Sets and Generalized Nets, Advances in Intelligent Systems and Computing, 401. Atanassov, K.T., Castillo, O., Kacprzyk, J., Krawczak, M., Melin, P., Sotirov, S., Sotirova, E., Szmidt, E., De Tr´e, G., Zadro˙zny, S. (Eds.), 97–110.
# Angelova, N., Marinov, E., & Atanassov, K. (2015). Intuitionistic fuzzy implications and Kolmogorov’s and Lukasiewisz–Tarski’s axioms of logic. Notes on Intuitionistic Fuzzy Sets, 21 (2), 35–42.
# Atanassov, K. (1988). Two variants of intuitonistc fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia.
# Atanassov, K. (2005). On some intuitionistic fuzzy negations. Proc. of the First Int. Workshop on IFSs, Banska Bystrica, 22 Sept. 2005. Notes on Intuitionistic Fuzzy Sets, 11(6), 13–20.
# Atanassov, K. (2006). On some intuitionistic fuzzy implications. Comptes Rendus de l’Academie bulgare des Sciences, 59 (1), 19–24.
# Atanassov, K. (2006). A new intuitionistic fuzzy implication from a modal type. Advanced Studies on Contemporary Mathematics, 12 (1), 117–122.
# Atanassov, K. (2006). On eight new intuitionistic fuzzy implications. Proc. of 3rd Int. IEEEConf. “Intelligent Systems” IS06, London, 4-6 Sept. 2006, 741–746.
# Atanassov, K. (2008). On intuitionistic fuzzy implication →ε and intuitionistic fuzzy negation ¬ε. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 6, 6–19.
# Atanassov, K. (2008). Intuitionistic fuzzy implication →ε,η and intuitionistic fuzzy negation ¬ε,η. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, 1, 1–10.
# Atanassov, K. (2011). Second Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets. 17 (3), 11–14.
# Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
# Atanassov, K. (2015). On a New Intuitionistic Fuzzy Implication. In: Proc of the 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30.06-03.07.2015, Gijon, Spain, 1592–1597.
# Atanassov, K. (2016). On intuitionistic fuzzy implications, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 12, 1–19.
# Atanassov, K. (2017). Intuitionistic Fuzzy Logics, Springer, Cham.
# Atanassov, K (2021). Third Zadeh’s Intuitionistic Fuzzy Implication. Mathematics, 9, 619. https://doi.org/10.3390/math9060619
# Atanassov, K., & Angelova, N. (2021). Modifications of the Third Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 27 (1), 9–23.
# Atanassov, K.,& Angelova, N. (2016). Properties of intuitionistic fuzzy implications and negations. Notes on Intuitionistic Fuzzy Sets, 22 (3) , 25–33.
# Atanassov, K., Angelova, N. & Atanassova, V. (2021). On an Intuitionistic Fuzzy Form of the Goguen’s Implication. Mathematics, 9, 676. https://doi.org/10.3390/math9060676
# Atanassov, K., & Dimitrov, D. (2010). Intuitionistic fuzzy implications and axioms for implications. Notes in Intuitionistic Fuzzy Sets, 16, (1), 10–20.
# Atanassov, K., & Kolev, B. (2006). On an intuitionistic fuzzy implication from a probabilistic type. Advanced Studies on Contemporary Mathematics, 12 (1), 111–116.
# Atanassov, K., S. Ribagin, L. Doukovska, & V. Atanassova (2017). Intuitionistic fuzzy implication →190. Notes on Intuitionistic Fuzzy Sets, 23 (4), 79–83.
# Atanassov, K., & Szmidt, E. (2014). Remark on intuitionistic fuzzy implication →ε,η. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 11, 9-14.
# Atanassov, K., Szmidt, E., & Angelova, N.(2017). Properties of the intuitionistic fuzzy implication →187. Notes on Intuitionistic Fuzzy Sets, 23 (3), 3–8.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19 (3), 1–13.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2015). On Fodor’s type of intuitionistic fuzzy implication and negation. Notes on Intuitionistic Fuzzy Sets, 21 (2), 25–34.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2016). New Fodor’s Type Of Intuitionistic Fuzzy Implication and Negation. Notes on Intuitionistic Fuzzy Sets, 22 (3), 1–8.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017). On intuitionistic fuzzy implication →1877. Notes on Intuitionistic Fuzzy Sets, 23 (2), 37–43.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017). On intuitionistic fuzzy implication →1887. Notes on Intuitionistic Fuzzy Sets, 23 (1), 6–13.
# Atanassov, K., Szmidt, E., Kacprzyk, J., & Angelova, N. (2019). Intuitionistic fuzzy implications revisited. Part 1. Notes on Intuitionistic Fuzzy Sets, 25(3), 71–78.
# Atanassov, K., & Trifonov, T. (2005). On a new intuitionistic fuzzy implication of Godel’s type. Proceedings of the Jangjeon Mathematical Society, 8 (2), 147–152.
# Atanassov, K., & Trifonov, T. (2006). Two new intuitionistic fuzzy implications. Advanced Studies on Contemporary Mathematics, 13 (1), 69–74.
# Atanassova, L. (2008). On an intuitionistic fuzzy implication from Kleene-Dienes type. Proceedings of the Jangjeon Mathematical Society, 11 (1), 69–74.
# Atanassova, L. (2008). Modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Advanced Studies in Contemporary Mathematics, 16 (2), 155–160.
# Atanassova, L. (2008). New modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Part 2. Annual of Section “Informatics”, 1, 59–64.
# Atanassova, L. (2009). New modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Part 3. Advanced Studies in Contemporary Mathematics, 18 (1), 33–40.
# Atanassova, L. (2009). A new intuitionistic fuzzy implication. Cybernetics and Information Technologies, 9 (2), 21–25.
# Atanassova, L. (2009). On some properties of intuitionistic fuzzy negation ¬@. Notes on Intuitionistic Fuzzy Sets, 15 (1), 32–35.
# Atanassova, L. (2012). On two modifications of the intuitionistic fuzzy implication →@. Notes on Intuitionistic Fuzzy Sets, 18 (2), 26–30.
# Atanassova, L. (2013). On the modal form of the intuitionistic fuzzy implications →'@ and →"@. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 10, 5–11.
# Atanassova, L. (2013). On the intuitionistic fuzzy form of the classical implication (A → B) V (B → A). Notes on Intuitionistic Fuzzy Sets, 19 (4), 15–18.
# Atanassova, L. (2014). Remark on the intuitionistic fuzzy forms of two classical logic axioms. Part 1. Annual of Section “Informatics”, 7, 24–27.
# Atanassova, L. (2014). Remark on the intuitionistic fuzzy forms of two classical logic axioms. Part 2. Notes on Intuitionistic Fuzzy Sets, 20 (4), 10–13.
# Atanassova, L. (2015). Remark on Dworniczak’s intuitionistic fuzzy implications. Part 1. Notes on Intuitionistic Fuzzy Sets, 21 (3), 18–23.
# Atanassova, L. (2015) Remark on Dworniczak’s intuitionistic fuzzy implications. Part 2. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 61–67.
# Atanassova, L. (2016). Remark on Dworniczak’s intuitionistic fuzzy implications. Part 3. Notes on Intuitionistic Fuzzy Sets, 22 (1), 1–6.
# Atanassova, L. (2017). Intuitionistic fuzzy implication !189. Notes on Intuitionistic Fuzzy Sets, 2 (1), 14–20.
# Atanassova, L. (2017). Properties of the intuitionistic fuzzy implication !189. Notes on Intuitionistic Fuzzy Sets, 23 (4), 10–14.
# Dworniczak, P. (2010). Some remarks about the L. Atanassova’s paper “A new intuitionistic fuzzy implication”. Cybernetics and Information Technologies, 10 (3), 3–9.
# Dworniczak, P. (2010). On one class of intuitionistic fuzzy implications. Cybernetics and Information Technologies, 10 (4), 13–21.
# Dworniczak, P. (2011). On some two-parametric intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 17 (2), 8–16.
# Feys, R. (1965). Modal Logics. Gauthier-Villars, Paris.
# Klir, G., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey.
# Riecan, B., & Atanassov., K. (2007). On a new intuitionistic fuzzy implication of Gaines-Rescher’s type. Notes on Intuitionistic Fuzzy Sets, 13 (4), 1–4.
# Szmidt, E., Kacprzyk, J., & Atanassov, K. (2015). Modal forms of Fodor’s type of intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 21 (5), 1–5.
# Szmidt, E., Kacprzyk, J., & Atanassov, K. (2015). Properties of Fodor’s intuitionistic fuzzy implication and negation. Notes on Intuitionistic Fuzzy Sets, 21 (4), 6–12.
# Vassilev, P., & Atanassov, K. (2019). Extensions and Modifications of Intuitionistic Fuzzy Sets. “Prof. Marin Drinov” Academic Publishing House, Sofia.
# Vassilev, P., Ribagin, S., & Kacprzyk, J. (2018). A remark on intuitionistic fuzzy implications. Notes on Intuitionistic Fuzzy Sets, 24 (2), 1–7.
| citations =
| see-also =
}}

File:NIFS-27-2-20-93.pdf

2021-08-20T22:27:10Z

Velin S. Andonov: {{upload | description = nifs 27-2 | author = | source = | date = | license = | other-version = }}

== Summary ==
{{upload
| description = nifs 27-2
| author =
| source =
| date =
| license =
| other-version =
}}

On the weak intuitionistic fuzzy implication based on △ operation

2021-08-20T19:08:23Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

File:NIFS-27-2-11-19.pdf

2021-08-20T19:07:28Z

Velin S. Andonov: {{upload | description = On the weak intuitionistic fuzzy implication based on △ operation | author = Lilija Atanassova and Piotr Dworniczak | source = nifs 27-2 | date = | license = | other-version = }}

== Summary ==
{{upload
| description = On the weak intuitionistic fuzzy implication based on △ operation
| author = Lilija Atanassova and Piotr Dworniczak
| source = nifs 27-2
| date =
| license =
| other-version =
}}

Fuzzy logic research work in Mexico motivated by Lotfi Zadeh

2021-08-20T12:32:25Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

File:NIFS-27-1-01-10.pdf

2021-08-20T12:31:41Z

Velin S. Andonov:

Notes on Intuitionistic Fuzzy Sets/27/2

2021-08-20T12:14:24Z

Velin S. Andonov:

<noinclude>'''[[Notes on Intuitionistic Fuzzy Sets]], [[Notes on Intuitionistic Fuzzy Sets/27|Volume 27 (2021)]], Number 2.'''

== Journal contents ==</noinclude>
{{journal-contents/header}}
{{journal-contents/row
|number = 1
|title = [[Fuzzy logic research work in Mexico motivated by Lotfi Zadeh]]
|authors = [[Oscar Castillo]] and [[Patricia Melin]]
|pages = 1—10
}}
{{journal-contents/row
|number = 2
|title = [[On the weak intuitionistic fuzzy implication based on △ operation]]
|authors = [[Lilija Atanassova]] and [[Piotr Dworniczak]]
|pages = 11—19
}}
{{journal-contents/row
|number = 3
|title = [[Research on intuitionistic fuzzy implications]]
|authors = [[Nora Angelova]] and [[Krassimir T. Atanassov]]
|pages = 20—93
}}
{{journal-contents/row
|number = 4
|title = [[Martingale convergence theorem for a conditional intuitionistic fuzzy mean value]]
|authors = [[Katarína Čunderlíková]]
|pages = 94—102
}}
{{journal-contents/footer}}
This issue of Int. Journal "Notes on Intuitionistic Fuzzy Sets" is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP-2/23/2020.
<noinclude>
[[Category:Notes on IFS|27]]
</noinclude>

Notes on Intuitionistic Fuzzy Sets/27/2

2021-08-20T12:13:21Z

Velin S. Andonov:

<noinclude>'''[[Notes on Intuitionistic Fuzzy Sets]], [[Notes on Intuitionistic Fuzzy Sets/27|Volume 27 (2021)]], Number 2.'''

== Journal contents ==</noinclude>
{{journal-contents/header}}
{{journal-contents/row
|number = 1
|title = [[Issue:Fuzzy logic research work in Mexico motivated by Lotfi Zadeh]]
|authors = [[Oscar Castillo]] and [[Patricia Melin]]
|pages = 1—10
}}
{{journal-contents/row
|number = 2
|title = [[Issue:On the weak intuitionistic fuzzy implication based on △ operation]]
|authors = [[Lilija Atanassova]] and [[Piotr Dworniczak]]
|pages = 11—19
}}
{{journal-contents/row
|number = 3
|title = [[Issue: Research on intuitionistic fuzzy implications]]
|authors = [[Nora Angelova]] and [[Krassimir T. Atanassov]]
|pages = 20—93
}}
{{journal-contents/row
|number = 4
|title = [[Issue:Martingale convergence theorem for a conditional intuitionistic fuzzy mean value]]
|authors = [[Katarína Čunderlíková]]
|pages = 94—102
}}
{{journal-contents/footer}}
This issue of Int. Journal "Notes on Intuitionistic Fuzzy Sets" is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP-2/23/2020.
<noinclude>
[[Category:Notes on IFS|27]]
</noinclude>

Notes on Intuitionistic Fuzzy Sets/27/2

2021-08-20T12:12:54Z

Velin S. Andonov: Created page with "<noinclude>'''Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 2.''' == Journal contents ==</noinclude> {{journal-..."

<noinclude>'''[[Notes on Intuitionistic Fuzzy Sets]], [[Notes on Intuitionistic Fuzzy Sets/27|Volume 27 (2021)]], Number 2.'''

== Journal contents ==</noinclude>
{{journal-contents/header}}
{{journal-contents/row
|number = 2
|title = [[Issue:Fuzzy logic research work in Mexico motivated by Lotfi Zadeh]]
|authors = [[Oscar Castillo]] and [[Patricia Melin]]
|pages = 1—10
}}
{{journal-contents/row
|number = 2
|title = [[Issue:On the weak intuitionistic fuzzy implication based on △ operation]]
|authors = [[Lilija Atanassova]] and [[Piotr Dworniczak]]
|pages = 11—19
}}
{{journal-contents/row
|number = 3
|title = [[Issue: Research on intuitionistic fuzzy implications]]
|authors = [[Nora Angelova]] and [[Krassimir T. Atanassov]]
|pages = 20—93
}}
{{journal-contents/row
|number = 4
|title = [[Issue:Martingale convergence theorem for a conditional intuitionistic fuzzy mean value]]
|authors = [[Katarína Čunderlíková]]
|pages = 94—102
}}
{{journal-contents/footer}}
This issue of Int. Journal "Notes on Intuitionistic Fuzzy Sets" is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP-2/23/2020.
<noinclude>
[[Category:Notes on IFS|27]]
</noinclude>

Notes on Intuitionistic Fuzzy Sets/27/1

2021-08-20T12:11:08Z

Velin S. Andonov: Undo revision 10723 by Velin S. Andonov (talk)

<noinclude>'''[[Notes on Intuitionistic Fuzzy Sets]], [[Notes on Intuitionistic Fuzzy Sets/27|Volume 27 (2021)]], Number 1.'''

== Journal contents ==</noinclude>
{{journal-contents/header}}
{{journal-contents/row
|number = 1
|title = [[Issue:Lotfi A. Zadeh: A great researcher and scholar already before fuzzy sets⁄logic|Lotfi A. Zadeh: A great researcher and scholar already before fuzzy sets/logic]]
|authors = [[Janusz Kacprzyk]]
|pages = 1—4
}}
{{journal-contents/row
|number = 2
|title = [[Issue:Lotfi Zadeh – some personal memories|Lotfi Zadeh – some personal memories]]
|authors = [[Eulalia Szmidt]]
|pages = 5—8
}}
{{journal-contents/row
|number = 3
|title = [[Issue: Modifications of the Third Zadeh's intuitionistic fuzzy implication|Modifications of the Third Zadeh’s intuitionistic fuzzy implication]]
|authors = [[Krassimir T. Atanassov]] and [[Nora Angelova]]
|pages = 9—23
}}
{{journal-contents/row
|number = 4
|title = [[Issue:Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier selection application context|Circular intuitionistic fuzzy TOPSIS method with vague membership functions:Supplier selection application context]]
|authors = [[Cengiz Kahraman]] and [[Nurşah Alkan]]
|pages = 24—52
}}
{{journal-contents/row
|number = 5
|title = [[Issue:Note on one inequality and its application in intuitionistic fuzzy sets theory. Part 1|Note on one inequality and its application in intuitionistic fuzzy sets theory. Part 1]]
|authors = [[Mladen Vassilev-Missana]]
|pages = 53—59
}}
{{journal-contents/row
|number = 6
|title = [[Issue:Intuitionistic anti fuzzy normed ideals|Intuitionistic anti fuzzy normed ideals]]
|authors = [[Nour Abed Alhaleem]] and [[Abd Ghafur Ahmad]]
|pages = 60—71
}}
{{journal-contents/row
|number = 7
|title = [[Issue:Connectedness concept in intuitionistic fuzzy topological spaces|Connectedness concept in intuitionistic fuzzy topological spaces]]
|authors = [[Md. Aman Mahbub]], [[Md. Sahadat Hossain]] and [[M. Altab Hossain]]
|pages = 72—82
}}
{{journal-contents/row
|number = 8
|title = [[Issue:Stability of intuitionistic fuzzy nonlinear fractional differential equations|Stability of intuitionistic fuzzy nonlinear fractional differential equations]]
|authors = [[Said Melliani]], [[Ali El Mfadel]], [[Lalla Saadia Chadli]] and [[M'hamed Elomari]]
|pages = 83—100
}}
{{journal-contents/footer}}
This issue of Int. Journal "Notes on Intuitionistic Fuzzy Sets" is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP-2/23/2020.
<noinclude>
[[Category:Notes on IFS|27]]
</noinclude>

Notes on Intuitionistic Fuzzy Sets/27/1

2021-08-20T12:09:44Z

Velin S. Andonov:

Notes on Intuitionistic Fuzzy Sets/27

2021-08-20T12:01:24Z

Velin S. Andonov:

'''[[Notes on Intuitionistic Fuzzy Sets]], Volume 27 (2021).'''

== [[Notes on Intuitionistic Fuzzy Sets/27/1|Number 1]] ==
{{:Notes on Intuitionistic Fuzzy Sets/27/1}}

== [[Notes on Intuitionistic Fuzzy Sets/27/2|Number 2]] ==
{{:Notes on Intuitionistic Fuzzy Sets/27/2}}

[[Category:Notes on IFS|27]]
[[Category:Publications in 2021 year]]
__NOTOC__

Notes on Intuitionistic Fuzzy Sets/27/1

2021-06-29T06:50:34Z

Velin S. Andonov:

Issue:Remark on an intuitionistic fuzzy operation "division"

2021-02-18T20:44:51Z

Velin S. Andonov:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Remark on an intuitionistic fuzzy operation “division”
| shortcut = issues/14/113-116
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = Acad. G. Bonchev Str., Block 105, 1113 Sofia
| institution-2 =
| address-2 =
| email-before-at = krat
| email-after-at = bas.bg
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 113-116
| file = Issues-14-2018-19-113-116.pdf
| format = PDF
| size = 116
| abstract = Definition of a new intuitionistic fuzzy operation “division” is introduced and some of its properties are studied.
| keywords = Intuitionistic fuzzy division, Intuitionistic fuzzy set.
| references =
# Atanassov, K. On Intuitionistic Fuzzy Sets. Springer, Cham, 2012.
# Atanassov K., One new algebraic object. Third Scientific Session of the “Mathematical Foundation Artificial Intelligence” Seminar, Sofia, June 12, 1990, Preprint IM-MFAIS-2-90, Sofia, 1990, 1-5. Reprinted: Int. J. Bioautomation, 2016, 20(S1), S75-S81.
}}

File:Issues-14-2018-19-113-116.pdf

2021-02-18T20:43:56Z

Velin S. Andonov:

Issue:Remark on an intuitionistic fuzzy operation "division"

2021-02-18T20:43:18Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} Category:Publications in 2020 year|{{PAG..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Remark on an intuitionistic fuzzy operation “division”
| shortcut = issues/14/113-116
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Department of Bioinformatics and Mathematical Modelling,Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = Acad. G. Bonchev Str., Block 105, 1113 Sofia
| institution-2 =
| address-2 =
| email-before-at = krat
| email-after-at = bas.bg
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 113-116
| file = Issues-14-2018-19-113-116.pdf
| format = PDF
| size = 116
| abstract = Definition of a new intuitionistic fuzzy operation “division” is introduced and some of its properties are studied.
| keywords = Intuitionistic fuzzy division, Intuitionistic fuzzy set.
| references =
# Atanassov, K. On Intuitionistic Fuzzy Sets. Springer, Cham, 2012.
# Atanassov K., One new algebraic object. Third Scientific Session of the “Mathematical Foundation Artificial Intelligence” Seminar, Sofia, June 12, 1990, Preprint IM-MFAIS-2-90, Sofia, 1990, 1-5. Reprinted: Int. J. Bioautomation, 2016, 20(S1), S75-S81.
}}

Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14

2021-02-18T12:45:38Z

Velin S. Andonov:

'''[[Issues in Intuitionistic Fuzzy Sets and Generalized Nets]], Volume 14''' is a collection of research papers in the field of intuitionistic fuzzy sets and generalized nets. Published in 2019 for 2018/2019 year under ISBN 978-83-61551-23-2 by the Warsaw School of Information Technology in Warsaw, Poland.

Editors of the 14th volume of the ''Issues'' are Krassimir Atanassov, Janusz Kacprzyk, Maciej Krawczak and Eulalia Szmidt.

== Contents ==
{{journal-contents/header}}
{{journal-contents/row
|number = 1
|title = [[Issue:Basic theorems from extreme value theory for MV-algebras|Basic theorems from extreme value theory for MV-algebras]]
|authors = [[Katarína Čunderlíková]], [[Renata Bartkova]]
|pages = 1—24
}}
{{journal-contents/row
|number = 2
|title = [[Issue:Reduced generalized nets with characteristics of the arcs|Reduced generalized nets with characteristics of the arcs]]
|authors = [[Velin Andonov]]
|pages = 25—35
}}
{{journal-contents/row
|number = 3
|title = [[Issue:Generalized net model of a length-gauge measurement process|Generalized net model of a length-gauge measurement process]]
|authors = [[Nora Angelova]] and [[Nevena Radoeva]]
|pages = 36—61
}}
{{journal-contents/row
|number = 4
|title = [[Issue:On some representations and modifications of Markov chains|On some representations and modifications of Markov chains]]
|authors = [[Aleksander Kacprzyk]], [[Zhivko Tomov]], [[Krassimir Atanassov]] and [[Velin Andonov]]
|pages = 62—76
}}
{{journal-contents/row
|number = 5
|title = [[Issue:Generalized nets with limited number of token splitting allowed|Generalized nets with limited number of token splitting allowed]]
|authors = [[Dafina Zoteva]], [[Anthony Shannon]] and [[Maciej Krawczak]]
|pages = 77—91
}}
{{journal-contents/row
|number = 6
|title = [[Issue:Some remarks on the potentials of the generalized nets as an effective and efficient tool for solving a multitude of practical management and economic problems|Some remarks on the potentials of the generalized nets as an effective and efficient tool for solving a multitude of practical management and economic problems]]
|authors = [[Aleksander Kacprzyk]]
|pages = 92—112
}}
{{journal-contents/row
|number = 7
|title = [[Issue:Remark on an intuitionistic fuzzy operation "division"|Remark on an intuitionistic fuzzy operation "division"]]
|authors = [[Krassimir Atanassov]]
|pages = 113—116
}}
{{journal-contents/footer}}

[[Category:Issues in IFS and GN]]
[[Category:Publications in 2019 year]]

Issue:Generalized nets with limited number of token splitting allowed

2021-02-18T12:44:35Z

Velin S. Andonov:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Generalized Nets with Limited Number of Token Splitting Allowed
| shortcut = issues/14/77-91
}}
{{issue/author
| author = Dafina Zoteva1
| institution = Faculty of Mathematics and Informatics, Sofia University “St. Kliment Ohridski”
| address = 5 “James Bourchier” Blvd, Sofia 1164, Bulgaria
| institution-2 = Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address-2 = 105 Acad. Georgi Bonchev Str., Sofia 1113, Bulgaria
| email-before-at = dafy.zoteva
| email-after-at = gmail.com
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/author
| author = Anthony Shannon
| institution = Warrane College, the University of New South Wales
| address = Kensington NSW 2033, Australia
| institution-2 =
| address-2 =
| email-before-at =
| email-after-at =
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/author
| author = Maciej Krawczak
| institution = Systems Research Institute, Polish Academy of Sciences
| address = Newelska 6, 01-447 Warsaw, Poland
| institution-2 =
| address-2 =
| email-before-at = krawczak
| email-after-at = ibspan.waw.pl
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 77-91
| file = Issues-14-2018-19-77-91.pdf
| format = PDF
| size = 142
| abstract = A new extension of the standard generalized nets (GNs), namely Generalized Net with Limited Number of Token Splitting Allowed (GNLNSA), is introduced in this paper. The general algorithm for transition functioning in GNLNSA is presented. It is proved that GNLNSAs are conservative extensions of the class of the standard GNs, i.e., their functioning and the results of their work can be described by standard GNs.
| keywords = Generalized nets, Generalized nets extensions, Algorithm for transition functioning.
| references =
# Andonov, V., Intuitionistic fuzzy generalized nets with characteristics of the places of Types 1 and 3. Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No 3, 99–110.
# Andonov, V., Reduced generalized nets with characteristics of the places. International Journal “Information Models and Analyses”, Vol. 3, No 2, 2014, 113–125.
# Andonov, V., Generalized nets with characteristics of the arcs. Compt. rend. Acad. bulg. Sci., Vol. 70, 2017, No 10, 1341–1346.
# Andonov, V., K. Atanassov, Generalized nets with characteristics of the places. Compt. rend. Acad. bulg. Sci., Vol. 66, 2013, No 12, 1673–1680.
# Angelova, N., Generalized nets with time dependent priorities. Proc. of 15th Int. Workshop on Generalized Nets, Burgas, 16 October 2014, 17–22.
# Angelova, N., Generalized Nets with Dynamic Priorities. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 11, 2014, 15–22.
# Atanassov, K., The Generalized nets and the other graphical means for modelling. AMSE Review, Vol. 2, 1985, No. 1, 59–64.
# Atanassov, K., Generalized index matrices. Compt. rend. Acad. bulg. Sci., Vol. 40, 1987, No. 11, 15–18.
# Atanassov, K., Generalized Nets. Singapore, New Jersey, London,World Scientific, 1991.
# Atanassov, K., On Generalized Nets Theory. “Prof. M. Drinov” Academic Publishing House, Sofia, 2007.
# Atanassov, K., Index Matrices: Towards an Augmented Matrix Calculus. Springer, Cham, 2014.
# Atanassov, K., E. Sotirova, Generalized Nets Theory. “Prof. M. Drinov” Academic Publishing House, Sofia, 2017 (in Bulgarian).
# Atanassov, K., D. Zoteva, N. Angelova, Interval valued intuitionistic fuzzy generalized nets. Notes on Intuitionistic Fuzzy Sets, Vol. 24, 2018, No. 3, 111–123.
# Atanassova, V., Generalized Nets with Volumetric Tokens. Compt. rend. Acad. bulg. Sci., Vol. 65, No 11, 1489–1498.
# Zoteva, D., E. Szmidt, J. Kacprzyk, Generalized nets with additional intuitionistic fuzzy conditions for tokens transfer. Notes on Intuitionistic Fuzzy Sets, Vol. 25, 2019, No. 2, 104–114.
}}

File:Issues-14-2018-19-77-91.pdf

2021-02-18T12:44:04Z

Velin S. Andonov:

Issue:Generalized nets with limited number of token splitting allowed

2021-02-18T12:43:37Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} Category:Publications in 2020 year|{{PAG..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Generalized Nets with Limited Number of Token Splitting Allowed
| shortcut = issues/14/77-91
}}
{{issue/author
| author = Dafina Zoteva1
| institution = Faculty of Mathematics and Informatics, Sofia University “St. Kliment Ohridski”
| address = 5 “James Bourchier” Blvd, Sofia 1164, Bulgaria
| institution-2 = Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address-2 = 105 Acad. Georgi Bonchev Str., Sofia 1113, Bulgaria
| email-before-at = dafy.zoteva
| email-after-at = gmail.com
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/author
| author = Anthony Shannon
| institution = Warrane College, the University of New South Wales
| address = Kensington NSW 2033, Australia
| institution-2 =
| address-2 =
| email-before-at =
| email-after-at =
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/author
| author = Maciej Krawczak
| institution = Systems Research Institute, Polish Academy of Sciences
| address = Newelska 6, 01-447 Warsaw, Poland
| institution-2 =
| address-2 =
| email-before-at = krawczak
| email-after-at = ibspan.waw.pl
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 77-91
| file = Issues-14-2018-19-77-91.pdf
| format = PDF
| size = 142
| abstract = A new extension of the standard generalized nets (GNs), namely Generalized Net with Limited Number of Token Splitting Allowed (GNLNSA), is introduced in this paper. The general algorithm for transition functioning in GNLNSA is presented. It is proved that GNLNSAs are conservative extensions of the class of the standard GNs, i.e., their functioning and the results of their work can be described by standard GNs.
| keywords = Generalized nets, Generalized nets extensions, Algorithm for transition functioning.
| references =
# Andonov, V., Intuitionistic fuzzy generalized nets with characteristics of the places of Types 1 and 3. Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No 3, 99–110.
# Andonov, V., Reduced generalized nets with characteristics of the places. International Journal “Information Models and Analyses”, Vol. 3, No 2, 2014, 113–125.
# Andonov V., Generalized nets with characteristics of the arcs. Compt. rend. Acad. bulg. Sci., Vol. 70, 2017, No 10, 1341–1346.
# Andonov, V., K. Atanassov, Generalized nets with characteristics of the places. Compt. rend. Acad. bulg. Sci., Vol. 66, 2013, No 12, 1673–1680.
# Angelova, N., Generalized nets with time dependent priorities. Proc. of 15th Int. Workshop on Generalized Nets, Burgas, 16 October 2014, 17–22.
# Angelova, N., Generalized Nets with Dynamic Priorities. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 11, 2014, 15–22.
# Atanassov, K., The Generalized nets and the other graphical means for modelling. AMSE Review, Vol. 2, 1985, No. 1, 59–64.
# Atanassov, K., Generalized index matrices. Compt. rend. Acad. bulg. Sci., Vol. 40, 1987, No. 11, 15–18.
# Atanassov, K., Generalized Nets. Singapore, New Jersey, London,World Scientific, 1991.
# Atanassov, K., On Generalized Nets Theory. “Prof. M. Drinov” Academic Publishing House, Sofia, 2007.
# Atanassov, K., Index Matrices: Towards an Augmented Matrix Calculus. Springer, Cham, 2014.
# Atanassov, K., E. Sotirova, Generalized Nets Theory. “Prof. M. Drinov” Academic Publishing House, Sofia, 2017 (in Bulgarian).
# Atanassov, K., D. Zoteva, N. Angelova, Interval valued intuitionistic fuzzy generalized nets. Notes on Intuitionistic Fuzzy Sets, Vol. 24, 2018, No. 3, 111–123.
# Atanassova, V., Generalized Nets with Volumetric Tokens. Compt. rend. Acad. bulg. Sci., Vol. 65, No 11, 1489–1498.
# Zoteva, D., E. Szmidt, J. Kacprzyk, Generalized nets with additional intuitionistic fuzzy conditions for tokens transfer. Notes on Intuitionistic Fuzzy Sets, Vol. 25, 2019, No. 2, 104–114.
}}

File:Issues-14-2018-19-62-76.pdf

2021-02-18T12:32:43Z

Velin S. Andonov:

Issue:On some representations and modifications of Markov chains

2021-02-18T12:32:11Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} Category:Publications in 2020 year|{{PAG..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = On Some Representations and Modifications of Markov Chains
| shortcut = issues/14/62-76
}}
{{issue/author
| author = Aleksander J. Kacprzyk
| institution = Prof. Asen Zlatarov University, Burgas
| address = 1 Prof. Yakimov Blvd., Burgas 8010, Bulgaria
| institution-2 =
| address-2 =
| email-before-at =
| email-after-at =
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/author
| author = Zhivko Tomov
| institution = Prof. Asen Zlatarov University, Burgas
| address = 1 Prof. Yakimov Blvd., Burgas 8010, Bulgaria
| institution-2 =
| address-2 =
| email-before-at = zhivko57
| email-after-at = yandex.ru
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Prof. Asen Zlatarov University, Burgas
| address = 1 Prof. Yakimov Blvd., Burgas 8010, Bulgaria
| institution-2 = Department of Bioinformatics and Mathematical Modelling,Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address-2 = Acad. G. Bonchev Str., Block 105, 1113 Sofia
| email-before-at = krat
| email-after-at = bas.bg
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/author
| author = Velin Andonov
| institution = Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
| address = Acad. G. Bonchev Str., Block 8, 1113 Sofia, Bulgaria
| institution-2 =
| address-2 =
| email-before-at = velin_andonov
| email-after-at = math.bas.bg
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 62-76
| file = Issues-14-2018-19-62-76.pdf
| format = PDF
| size = 162
| abstract = Two new representations of Markov chains are proposed. One of them uses the novel concept of Index Matrix (IM) which has greater modelling capabilities in comparison to the standard matrix. A new normalization operator over IMs is introduced. The other new representation proposed in the present paper uses Generalized Nets (GNs). Two GN models of Markov chain are described. It has been made an attempt to classify them with respect to the DM techniques (neural networks, genetic algorithms, etc.) and the tools used, as well as on the basis of the different areas of DM application (education, medicine, genetics, etc).
| keywords = Markov Chains, Index Matrices, Generalized Nets.
| references =
# Alexieva, J., E. Choy, E. Koycheva, Review and bibloigraphy on generalized nets theory and applications. In:A Survey of Generalized Nets (E. Choy, M. Krawczak, A. Shannon and E. Szmidt, Eds.), Raffles KvB Monograph No. 10, 2007, 207–301.
# Atanassov, K., Generalized index matrices. Comptes rendus de l’Academie Bulgare des Sciences, Vol.40, 1987, No 11, 15–18.
# Atanassov, K., Generalized Nets. World Scientific, Singapore, London, 1991.
# Atanassov, K., On Generalized Nets Theory. Prof. M. Drinov Academic Publ. House, Sofia, 2007.
# Atanassov, K., Index Matrices: Towards an Augmented Matrix Calculus. Springer, Cham, 2014.
# Markov, A. A., Extension of the law of large numbers to quantities, depending on each other (1906). Reprint. Journal Electronique d’Histoire des Probabilits et de la Statistique[electronic only] 2.lb (2006), Article 10, 12 p.
# Gallager, R. G., Stochastic processes: theory for applications. Cambridge University Press, 2013.
# Ibe, O., Markov processes for stochastic modeling. Newnes, 2013.
# Atanassov, K., Generalized Nets as a Tool for the Modelling of Data Mining Processes. Innovative Issues in Intelligent Systems (V. Sgurev, R. Yager, J. Kacprzyk, V. Jotov, Eds.), Cham, Springer, 2016, 161–215.
# Zoteva, D., M. Krawczak, Generalized Nets as a Tool for the Modelling of Data Mining Processes. A Survey. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 13, 2017, 1–60.
# Molloy, M. K., Performance Analysis Using Stochastic Petri Nets. IEEE Trans. Computers, 31, 1982, 913-917.
# Natkin, S., Les Reseaux de Petri Stochastiques et leur Application a 1’Evaluation des Systemes Informatiques. These de Docteur Ingegneur, CNAM, Paris, France, 1980.
# Shapiro, S., A Stochastic Petri Net with Applications to Modelling Occupancy Times for Concurrent Task Systems. Networks, Vol. 9, No. 4, 1979, 375–379.
# M. K. Molley, “Performance modeling using stochastic Petri nets”, IEEE Trans. Comput, vol. C-31, pp. 913-917, Sept. 1982.
# MacDonald, I. L., & Zucchini, W., Hidden Markov and other models for discrete-valued time series (Vol. 110). CRC Press, 1997.
}}

Issue:Generalized net model of a length-gauge measurement process

2021-02-16T22:44:23Z

Velin S. Andonov:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Generalized Net Model of a Length-Gauge Measurement Process
| shortcut = issues/14/36-61
}}
{{issue/author
| author = Nora Angelova
| institution = Institute of Biophysics and Biomedical Engineering
| address = Acad. G. Bonchev str., bl. 105, 1113 Sofia, Bulgaria
| institution-2 =
| address-2 =
| email-before-at = nora.angelova
| email-after-at = biomed.bas.bg
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/author
| author = Nevena Radoeva
| institution = Defence Institute "Prof. Tsvetan Lazarov"
| address = Sofia, Bulgaria
| institution-2 =
| address-2 =
| email-before-at = n.radoeva
| email-after-at = di.mod.bg
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 36-61
| file = Issues-14-2018-19-36-61.pdf
| format = PDF
| size = 706
| abstract = Generalized Nets Integrated Development Environment (GN IDE) is a simulation tool for GN models. In the paper the GN model of a length-gauge measurement process is defined and simulate in GN IDE. Real calibration of a stop-end length gauge sized 50mm is performed from six persons (subjects) in the Central Laboratory for Measuring Equipment at the Prof. Tsvetan Lazarov Institute of Defence. The data is used in the simulation. Part of the code and graphics that demonstrates tokens movement, the change of the characteristics of the tokens and the relationship between subject evaluation and measurement result are shown.
| keywords = Generalized nets, Gauge blocks.
| references =
# Angelova, N., M. Todorova, K. Atanassov, GN IDE: Implementation, Improvements and Algorithms, Comptes rendus de l’Acade'mie bulgare des Sciences, Vol. 69, 2016, No. 4, 411-420.
# Andonov, V., N. Angelova. Modifications of the algorithms for transition functioning in GNs, GNCP, IFGNCP1 and IFGNCP3 when merging of tokens is permitted. Inprecision and Uncertainty in Information Representation and Processing (P. Angelov, S. Sotirov, Eds.), Springer, Cham, 2016, 275-288.
# EN ISO 3650:1998 – Geometrical product specifications (GPS) – Length standards – Gauge blocks.
# EA-4/02 M:2013 – Evaluation of the Uncertainty of Measurement in Calibration.
}}

File:Issues-14-2018-19-36-61.pdf

2021-02-16T22:43:56Z

Velin S. Andonov:

Issue:Generalized net model of a length-gauge measurement process

2021-02-16T22:41:03Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} Category:Publications in 2020 year|{{PAG..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Reduced generalized nets with characteristics of the arcs
| shortcut = issues/14/36-61
}}
{{issue/author
| author = Nora Angelova
| institution = Institute of Biophysics and Biomedical Engineering
| address = Acad. G. Bonchev str., bl. 105, 1113 Sofia, Bulgaria
| institution-2 =
| address-2 =
| email-before-at = nora.angelova
| email-after-at = biomed.bas.bg
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/author
| author = Nevena Radoeva
| institution = Defence Institute "Prof. Tsvetan Lazarov"
| address = Sofia, Bulgaria
| institution-2 =
| address-2 =
| email-before-at = n.radoeva
| email-after-at = di.mod.bg
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 36-61
| file = Issues-14-2018-19-36-61.pdf
| format = PDF
| size = 706
| abstract = Generalized Nets Integrated Development Environment (GN IDE) is a simulation tool for GN models. In the paper the GN model of a length-gauge measurement process is defined and simulate in GN IDE. Real calibration of a stop-end length gauge sized 50mm is performed from six persons (subjects) in the Central Laboratory for Measuring Equipment at the Prof. Tsvetan Lazarov Institute of Defence. The data is used in the simulation. Part of the code and graphics that demonstrates tokens movement, the change of the characteristics of the tokens and the relationship between subject evaluation and measurement result are shown.
| keywords = Generalized nets, Gauge blocks.
| references =
# Angelova, N., M. Todorova, K. Atanassov, GN IDE: Implementation, Improvements and Algorithms, Comptes rendus de l’Acade'mie bulgare des Sciences, Vol. 69, 2016, No. 4, 411-420.
# Andonov, V., N. Angelova. Modifications of the algorithms for transition functioning in GNs, GNCP, IFGNCP1 and IFGNCP3 when merging of tokens is permitted. Inprecision and Uncertainty in Information Representation and Processing (P. Angelov, S. Sotirov, Eds.), Springer, Cham, 2016, 275-288.
# EN ISO 3650:1998 – Geometrical product specifications (GPS) – Length standards – Gauge blocks.
# EA-4/02 M:2013 – Evaluation of the Uncertainty of Measurement in Calibration.
}}

File:Issues-14-2018-19-92-112.pdf

2021-02-13T22:06:48Z

Velin S. Andonov:

Issue:Some remarks on the potentials of the generalized nets as an effective and efficient tool for solving a multitude of practical management and economic problems

2021-02-13T22:06:18Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} Category:Publications in 2020 year|{{PAG..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Some Remarks on the Potentials of the Generalized Nets as an Effective and Efficient Tool for Solving a Multitude of Practical Management and Economic Problems
| shortcut = issues/14/92-112
}}
{{issue/author
| author = Aleksander J. Kacprzyk
| institution = Resource Partners, Zebra Tower
| address = ul. Mokotowska 1, 00–640 Warsaw, Poland
| institution-2 =
| address-2 =
| email-before-at = aleksander.kacprzyk
| email-after-at = resourcepartners.eu
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 92-112
| file = Issues-14-2018-19-92-112.pdf
| format = PDF
| size = 201
| abstract = The paper represents an overview of the possibilities for solving of practical management and economic problems with the help of Generalized Nets (GNs). The advantages of the GNs approach to the modeling of discrete event systems are summarized. GNs make it possible to formalize, analyze and algorithmize many more types of behavior and properties of the discrete-event systems than even the sophisticated extensions of the Petri nets. In particular, an outline for structuring, codification, and a possible implementation of the executive compensation design process is presented which is the base for construction of GN model.
| keywords = Executive compensation design, Generalized nets, Petri nets.
| references =
# Angelova, N., D. Zoteva, Implementation of the reducing operators over generalized nets in GN IDE.Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 12, 2015/2016, 8092.
# Andonov, V., Intuitionistic fuzzy generalized nets with characteristics of the places of Types 1 and 3. Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No 3, 99–110.
# Andonov, V., Reduced generalized nets with characteristics of the places. International Journal “Information Models and Analyses”, Vol. 3, No 2, 2014, 113–125.
# Andonov V., Generalized nets with characteristics of the arcs. Compt. rend. Acad. bulg. Sci., Vol. 70, 2017, No 10, 1341–1346.
# Andonov, V., K. Atanassov, Generalized nets with characteristics of the places. Compt. rend. Acad. bulg. Sci., Vol. 66, 2013, No 12, 1673–1680.
# Atanassov K., Generalized nets and their fuzzings, AMSE Review, Vol. 2 (1985), No. 3, 39-49.
# Atanassov, K., Generalized Nets. World Scientific, Singapore, London, 1991.
# Atanassov, K., Introduction in the Theory of the Generalized Nets. Bourgas, Pontica Print, 1992 (in Bulgarian).
# Atanassov, K.T, Generalized Nets and Systems Theory. ”Prof. Marin Drinov” Academic Publishing House, Sofia, 1997.
# Atanassov, K.T, Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag, Heidelberg, 1999.
# Atanassov, K.T., On Generalized Nets Theory. “Prof. Marin Drinov” Academic Publishing House, Sofia, 2007.
# Atanassov, K.T, On Intuitionistic Fuzzy Sets Theory. Springer, Berlin, Heidelberg, 2012.
# Atanassov, K.T., Index Matrices: Towards an Augmented Matrix Calculus. Springer, Heidelberg and New York, 2015.
# Atanassov, K.T., Intuitionistic Fuzzy Logics. Springer, Cham, 2017.
# Atanassov, K.T., A. Kacprzyk, V. Skenderov, A. Kryuchukov, Principles of a generalized net model of the activity of a petrochemical combine. Proceedings of the Eighth International Workshop on Generalized Nets, Sofia, Bulgaria, 2007, 38–41.
# Atanassov, K.T., A. Kacprzyk, E. Sotirova, A Novel Generalized Net Model of the Executive Compensation Design. Journal of Automation, Mobile Robotics & Intelligent Systems, Vol. 8, No. 3, 2014, 64–74.
# Cassandras, C, S. Lafortune, Introduction to Discrete Event Systems. Springer, heidelberg and New York, 2007.
# Haas, P., Stochastic Petri nets: Modeling, stability, simulation. Springer-Verlag.
# He, X., Temporal predicate transition nets – A new formalism for specifying and verifying concurrent systems. International Journal of Computer Mathematics, 45 (1/2), 1992, 171–184.
# Jensen, K., Coloured Petri Nets: Basic Concepts. Springer, 2010.
# Jensen, K., L.M. Kristensen, Coloured Petri Nets: Modelling and Validation of Concurrent Systems. Springer, 2009.
# Jensen, K., Rozenberg G. (Eds.), High-level Petri Nets – Theory and Applications. Springer, 1991.
# Kacprzyk, A., I. Mihailov, Intuitionistic fuzzy estimation of the liquidity of the banks: A generalized net model. Proceedings of the 13th International Workshop on Generalized Nets, London, UK,2012, 34–42.
# Kacprzyk, A., E. Sotirova, K.T. Atanassov, Modelling the executive compensation design model using a generalized net. Proceedings of the 14th International Workshop on Generalized Nets, Bourgas, Bulgaria, 2013, 71–77.
# Kumar, R., V.K. Garg, Modeling and Control of Logical Discrete Event Systems, Springer, Heidelberg and New York, 1995.
# Mihailov, I., Generalized Net Model for Describing Some Banking Activities. Proceedings of the, New Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Vol II: Applications, Warsaw, Poland, 2013, 115–122.
# Murata, T., Petri Nets: Properties, Analysis and Applications. Proceedings of the IEEE, 77(4), 1989, 541–680.
# Peterson, J.L., Petri Netsand the Modeling of Systems. Prentice–Hall, 1981.
# Petri, K. A., Kommunikation mit Automaten. Dissertation, Schriften des IIM 2, Rheinisch–Westfaälisches Institute für Mathematik an der Universität Bonn, 1962.
# Popova–Zeugmann, L., Time and Petri Nets. Springer, 2013.
# Reisig, W., Petri Nets: An Introduction. Springer, 1985.
# Reisig, W., Understanding Petri Nets: Modelling Techniques, Analysis Methods, Case Studies. Springer, 2013.
# Starke, P., Petri-Netze. Berlin, VEB Deutscher Verlag der Wissenschaften, Berlin, 1980.
# Zoteva, D., Implementation of Hierarchical Operators in GN IDE. Uncertainty and Imprecision in Decision Making and Decision Support: Cross fertilization, New Models and Applications (K.T. Atanassov, J. Kacprzyk, et al., Eds.), Springer, Cham, 2019 (in press).
}}

Issue:Basic theorems from extreme value theory for MV-algebras

2021-02-13T21:50:11Z

Velin S. Andonov:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Basic theorems from extreme value theory for MV-algebras
| shortcut = issues/14/1-24
}}
{{issue/author
| author = Katarína Čunderlíková
| institution = Mathematical Institute, Slovak Academy of Sciences
| address = Stefanikova 49, 814 73 Bratislava, Slovakia
| institution-2 =
| address-2 =
| email-before-at = cunderlikova.lendelova
| email-after-at = gmail.com
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/author
| author = Renáta Bartková
| institution = Faculty of Natural Sciences, Matej Bel University
| address = Tajovského 40, 974 01 Banská Bystrica, Slovakia
| institution-2 =
| address-2 =
| email-before-at = renata.hanesova
| email-after-at = gmail.com
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 1-24
| file = Issues-14-2018-19-1-24.pdf
| format = PDF
| size = 519
| abstract = In the paper the space of observables with respect to MV-algebras is considered. We prove the modification of the Fisher-Tippet Gnedenko theorem and the Pickands-Balkema-de Haan theorem for sequence of independent observables in probability MV-algebra. We show that the results for MValgebras can be applied for intuitionistic fuzzy sets and interval valued sets, too.
| keywords = MV-algebra, MV-state, Observable, Joint observable, Independence, Fisher-Tippet-Gnedenko theorem, Excess distribution, Maximum domain of attraction, Generalized Pareto distribution, Extreme value theory, Pickands-Balkema-de Haan theorem.
| references =
# Atanassov, K., Intuitionistic Fuzzy sets : Theory and Applications. Physica Verlag, New York, 1999.
# Atanassov, K., On Intuitionistic Fuzzy Sets. Springer, Berlin, 2012.
# Bartková, R., K. Čunderlíková, Fisher-Tippett-Gnedenko theorem for Intuitionistic Fuzzy Events. In: Advances in Fuzzy Logic and Technology 2017. IWIFSGN 2017, EUSFLAT 2017. Advances in Intelligent Systems and Computing, Kacprzyk J. et al. eds., Vol. 641, Springer, Cham, 2018, 125–135.
# Bartková, R., K. Čunderlíková, The Pickands-Balkema-de Haan theorem. Notes on Intuitionistic Fuzzy Sets, 24 (2), 2018, 63–75.
# Birkhoff, G., Lattice Theory. Vol. 25 of AMS Colloquium Publications, Providence, Rhode Island, 1973.
# Coles, S., Statistics of Extremes. Springer, 2001.
# Embrechts, P., C. Kluppelberg, T. Mikosch, Modelling Extremal Events: For Insurance and Finance. Springer, Verlag, 1997.
# Gumbel, E. J., Lattice Theory. Columbia University Press, New York, 1958.
# Haan, L., A. Ferreira, Extreme Value Theory: An Introduction. Springer, 2006.
# Král, P., B. Riečan, Probabilty on Interval Valued Events. In: Proceeding of Eleventh Int. Workshop on GNs and Second Int. Workshop on GNs, IFSs, KE, London, 9-10 July, 2010, 43–47.
# Michalíková, A., B. Riečan, On some methods of study of states on interval valued fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 24 (4), 2018, 5–12.
# Riečan, B., Probability theory on intuitionistic fuzzy events. In: Algebraic and Proof-theoretic aspects of Non-classical Logics. Papers in honour of Daniele Mundici’s 60th birthday. Lecture Notes in Computer Science, Vol. 4460, 2007.
# Riečan, B., D. Mundici, Probability on MV-algebras. Handbook of Measure Theory (E. Pap. ed.), Elsevier Science B.V., Amsterdam, 2002.
# Riečan, B., T. Neubrunn, Integral, Measure and Ordering. Kluwer, Dordrecht, 1997.
# Zadeh, L. A., The concept of linguistic variable and its application to approximate reasoning I. Information Sciences, 8 (3).
}}

File:Issues-14-2018-19-25-35.pdf

2021-02-13T21:48:43Z

Velin S. Andonov:

Issue:Reduced generalized nets with characteristics of the arcs

2021-02-13T21:48:09Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} Category:Publications in 2020 year|{{PAG..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Reduced generalized nets with characteristics of the arcs
| shortcut = issues/14/25-35
}}
{{issue/author
| author = Velin Andonov
| institution = Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
| address = Acad. G. Bonchev Str., Block 8, 1113 Sofia, Bulgaria
| institution-2 =
| address-2 =
| email-before-at = velin_andonov
| email-after-at = math.bas.bg
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 25-35
| file = Issues-14-2018-19-25-35.pdf
| format = PDF
| size = 199
| abstract = In most publications on the applications of Generalized Nets (GNs) in the modelling of real-life processes reduced GNs are used rather than ordinary GNs. The use of reduced GNs allows for a more simple general description of the model as only the minimal number of transition components, i.e. set of input places, set of output places and the Index Matrix (IM) of the transition’s condition are described. The reduced GNs have also huge theoretical significance because many theorems can be proved easily with the use ofreduced GNs. In recent years, the existence of two classes of minimal reduced GNs has been proven – one in which only the tokens obtain characteristics and one in which only the places obtain characteristics during the functioning of the net. In the present paper, a third class of minimal reduced GNs is proposed in which only the arcs obtain characteristics. Theorems for representation of the GNs from this class with minimal reduced GNs in which only the tokens receive characteristics are proved.
| keywords = Generalized nets, Reduced generalized nets, Generalized nets extensions.
| references =
# Andonov, V., Reduced generalized nets with characteristics of the places. International Journal “Information Models and Analyses”, Vol. 3, 2014, No. 2, 113–125.
# Andonov, V., Generalized Nets with Characteristics of the Arcs. Compt. rend. Acad. bulg. Sci., Vol. 70, 2017, No 10, 1341–1347.
# Andonov, V., K. Atanassov, Generalized nets with characteristics of the places. Compt. rend. Acad. bulg. Sci., Vol. 66, 2013, No. 12, 1673–1680.
# Andonov, V., A. Shannon, Intuitionistic fuzzy evaluation of the behavior of tokens in generalized nets. Advances in Intelligent Systems and Computing, Springer, Vol. 322, 2015, 633–644.
# Andonov, V., N. Angelova, Modifications of the algorithms for transition functioning in GNs, GNCP, IFGNCP1 and IFGNCP3 when merging of tokens is permitted. Springer Series Studies in Fuzziness and Soft Computing, 2015, 275–288.
# Atanassov, K., Generalized Nets. World Scientific, Singapore, London, 1991.
# Atanassov, K., On Generalized Nets Theory. Prof. M. Drinov Academic Publ. House, Sofia, 2007.
}}

Issue:Basic theorems from extreme value theory for MV-algebras

2021-02-13T21:40:22Z

Velin S. Andonov:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Basic theorems from extreme value theory for MV-algebras
| shortcut = issues/14/1-24
}}
{{issue/author
| author = Katarína Čunderlíková
| institution = Mathematical Institute, Slovak Academy of Sciences
| address = Stefanikova 49, 814 73 Bratislava, Slovakia
| institution-2 =
| address-2 =
| email-before-at = cunderlikova.lendelova
| email-after-at = gmail.com
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/author
| author = Renáta Bartková
| institution = Faculty of Natural Sciences, Matej Bel University
| address = Tajovského 40, 974 01 Banská Bystrica, Slovakia
| institution-2 =
| address-2 =
| email-before-at = renata.hanesova
| email-after-at = gmail.com
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 1-24
| file = Issues-14-2018-19-1-24.pdf
| format = PDF
| size = 175
| abstract = In the paper the space of observables with respect to MV-algebras is considered. We prove the modification of the Fisher-Tippet Gnedenko theorem and the Pickands-Balkema-de Haan theorem for sequence of independent observables in probability MV-algebra. We show that the results for MValgebras can be applied for intuitionistic fuzzy sets and interval valued sets, too.
| keywords = MV-algebra, MV-state, Observable, Joint observable, Independence, Fisher-Tippet-Gnedenko theorem, Excess distribution, Maximum domain of attraction, Generalized Pareto distribution, Extreme value theory, Pickands-Balkema-de Haan theorem.
| references =
# Atanassov, K., Intuitionistic Fuzzy sets : Theory and Applications. Physica Verlag, New York, 1999.
# Atanassov, K., On Intuitionistic Fuzzy Sets. Springer, Berlin, 2012.
# Bartková, R., K. Čunderlíková, Fisher-Tippett-Gnedenko theorem for Intuitionistic Fuzzy Events. In: Advances in Fuzzy Logic and Technology 2017. IWIFSGN 2017, EUSFLAT 2017. Advances in Intelligent Systems and Computing, Kacprzyk J. et al. eds., Vol. 641, Springer, Cham, 2018, 125–135.
# Bartková, R., K. Čunderlíková, The Pickands-Balkema-de Haan theorem. Notes on Intuitionistic Fuzzy Sets, 24 (2), 2018, 63–75.
# Birkhoff, G., Lattice Theory. Vol. 25 of AMS Colloquium Publications, Providence, Rhode Island, 1973.
# Coles, S., Statistics of Extremes. Springer, 2001.
# Embrechts, P., C. Kluppelberg, T. Mikosch, Modelling Extremal Events: For Insurance and Finance. Springer, Verlag, 1997.
# Gumbel, E. J., Lattice Theory. Columbia University Press, New York, 1958.
# Haan, L., A. Ferreira, Extreme Value Theory: An Introduction. Springer, 2006.
# Král, P., B. Riečan, Probabilty on Interval Valued Events. In: Proceeding of Eleventh Int. Workshop on GNs and Second Int. Workshop on GNs, IFSs, KE, London, 9-10 July, 2010, 43–47.
# Michalíková, A., B. Riečan, On some methods of study of states on interval valued fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 24 (4), 2018, 5–12.
# Riečan, B., Probability theory on intuitionistic fuzzy events. In: Algebraic and Proof-theoretic aspects of Non-classical Logics. Papers in honour of Daniele Mundici’s 60th birthday. Lecture Notes in Computer Science, Vol. 4460, 2007.
# Riečan, B., D. Mundici, Probability on MV-algebras. Handbook of Measure Theory (E. Pap. ed.), Elsevier Science B.V., Amsterdam, 2002.
# Riečan, B., T. Neubrunn, Integral, Measure and Ordering. Kluwer, Dordrecht, 1997.
# Zadeh, L. A., The concept of linguistic variable and its application to approximate reasoning I. Information Sciences, 8 (3).
}}

Issue:Basic theorems from extreme value theory for MV-algebras

2021-02-13T21:40:02Z

Velin S. Andonov:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Basic theorems from extreme value theory for MV-algebras
| shortcut = issues/14/1-24
}}
{{issue/author
| author = Katarína Čunderlíková
| institution = Mathematical Institute, Slovak Academy of Sciences
| address = Stefanikova 49, 814 73 Bratislava, Slovakia
| institution-2 =
| address-2 =
| email-before-at = cunderlikova.lendelova
| email-after-at = gmail.com
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/author
| author = Renáta Bartková
| institution = Faculty of Natural Sciences, Matej Bel University
| address = Tajovského 40, 974 01 Banská Bystrica, Slovakia
| institution-2 =
| address-2 =
| email-before-at = renata.hanesova
| email-after-at = gmail.com
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 1-24
| file = Issues-14-2018-19-1-24.pdf
| format = PDF
| size = 175
| abstract = In the paper the space of observables with respect to MV-algebras is considered. We prove the modification of the Fisher-Tippet Gnedenko theorem and the Pickands-Balkema-de Haan theorem for sequence of independent observables in probability MV-algebra. We show that the results for MValgebras can be applied for intuitionistic fuzzy sets and interval valued sets, too.
| keywords = MV-algebra, MV-state, Observable, Joint observable, Independence, Fisher-Tippet-Gnedenko theorem, Excess distribution, Maximum domain of attraction, Generalized Pareto distribution, Extreme value theory, Pickands-Balkema-de Haan theorem.
| references =
# Atanassov, K., Intuitionistic Fuzzy sets : Theory and Applications. Physica Verlag, New York, 1999.
# Atanassov, K., On Intuitionistic Fuzzy Sets. Springer, Berlin, 2012.
# Bartková, R., K. Čunderlíková, Fisher-Tippett-Gnedenko theorem for Intuitionistic Fuzzy Events. In: Advances in Fuzzy Logic and Technology 2017. IWIFSGN 2017, EUSFLAT 2017. Advances in Intelligent Systems and Computing, Kacprzyk J. et al. eds., Vol. 641, Springer, Cham, 2018, 125–135.
# Bartková, R., K. Čunderlíková, The Pickands-Balkema-de Haan theorem. Notes on Intuitionistic Fuzzy Sets, 24 (2), 2018, 63–75.
# Birkhoff, G., Lattice Theory. Vol. 25 of AMS Colloquium Publications, Providence, Rhode Island, 1973.
# Coles, S., Statistics of Extremes. Springer, 2001.
# Embrechts, P., C. Kluppelberg, T. Mikosch, Modelling Extremal Events: For Insurance and Finance. Springer, Verlag, 1997.
# Gumbel, E. J., Lattice Theory. Columbia University Press, New York, 1958.
# Haan, L., A. Ferreira, Extreme Value Theory: An Introduction. Springer, 2006.
# Král, P., B. Riečan, Probabilty on Interval Valued Events. In: Proceeding of Eleventh Int. Workshop on GNs and Second Int. Workshop on GNs, IFSs, KE, London, 9-10 July, 2010, 43–47.
# Michalíková, A., B. Riečan, On some methods of study of states on interval valued fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 24 (4), 2018, 5–12.
# Riečan, B., Probability theory on intuitionistic fuzzy events. In: Algebraic and Proof-theoretic aspects of Non-classical Logics. Papers in honour of Daniele Mundici’s 60th birthday. Lecture Notes in Computer Science, Vol. 4460, 2007.
# Riečan, B., D. Mundici, Probability on MV-algebras. Handbook of Measure Theory (E. Pap. ed.), Elsevier Science B.V., Amsterdam, 2002.
# Riečan, B., T. Neubrunn, Integral, Measure and Ordering. Kluwer, Dordrecht, 1997.
# [15] Zadeh, L. A., The concept of linguistic variable and its application to approximate reasoning I. Information Sciences, 8 (3).
}}

File:Issues-14-2018-19-1-24.pdf

2021-02-13T21:39:04Z

Velin S. Andonov:

Issue:Basic theorems from extreme value theory for MV-algebras

2021-02-13T21:38:20Z

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} Category:Publications in 2020 year|{{PAG..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Basic theorems from extreme value theory for MV-algebras
| shortcut = issues/14/1-24
}}
{{issue/author
| author = Katarína Čunderlíková
| institution = Mathematical Institute, Slovak Academy of Sciences
| address = Stefanikova 49, 814 73 Bratislava, Slovakia
| institution-2 =
| address-2 =
| email-before-at = cunderlikova.lendelova
| email-after-at = gmail.com
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/author
| author = Renáta Bartková
| institution = Faculty of Natural Sciences, Matej Bel University
| address = Tajovského 40, 974 01 Banská Bystrica, Slovakia
| institution-2 =
| address-2 =
| email-before-at = renata.hanesova
| email-after-at = gmail.com
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 1-24
| file = Issues-14-2018-19-1-24.pdf
| format = PDF
| size = 175
| abstract = In the paper the space of observables with respect to MV-algebras is considered. We prove the modification of the Fisher-Tippet Gnedenko theorem and the Pickands-Balkema-de Haan theorem for sequence of independent observables in probability MV-algebra. We show that the results for MValgebras can be applied for intuitionistic fuzzy sets and interval valued sets, too.
| keywords = MV-algebra, MV-state, Observable, Joint observable, Independence, Fisher-Tippet-Gnedenko theorem, Excess distribution, Maximum domain of attraction, Generalized Pareto distribution, Extreme value theory, Pickands-Balkema-de Haan theorem.
| references =
# Atanassov, K., Intuitionistic Fuzzy sets : Theory and Applications. Physica Verlag, New York, 1999.
# Atanassov, K., On Intuitionistic Fuzzy Sets. Springer, Berlin, 2012.
# Bartková, R., K. Čunderlíková, Fisher-Tippett-Gnedenko theorem for Intuitionistic Fuzzy Events. In: Advances in Fuzzy Logic and Technology
2017. IWIFSGN 2017, EUSFLAT 2017. Advances in Intelligent Systems and Computing, Kacprzyk J. et al. eds., Vol. 641, Springer, Cham, 2018, 125–135.
# Bartková, R., K. Čunderlíková, The Pickands-Balkema-de Haan theorem. Notes on Intuitionistic Fuzzy Sets, 24 (2), 2018, 63–75.
# Birkhoff, G., Lattice Theory. Vol. 25 of AMS Colloquium Publications, Providence, Rhode Island, 1973.
# Coles, S., Statistics of Extremes. Springer, 2001.
# Embrechts, P., C. Kluppelberg, T. Mikosch, Modelling Extremal Events: For Insurance and Finance. Springer, Verlag, 1997.
# Gumbel, E. J., Lattice Theory. Columbia University Press, New York, 1958.
# Haan, L., A. Ferreira, Extreme Value Theory: An Introduction. Springer, 2006.
# Král, P., B. Riečan, Probabilty on Interval Valued Events. In: Proceeding of Eleventh Int. Workshop on GNs and Second Int. Workshop on GNs, IFSs, KE, London, 9-10 July, 2010, 43–47.
# Michalíková, A., B. Riečan, On some methods of study of states on interval valued fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 24 (4), 2018, 5–12.
# Riečan, B., Probability theory on intuitionistic fuzzy events. In: Algebraic and Proof-theoretic aspects of Non-classical Logics. Papers in honour of Daniele Mundici’s 60th birthday. Lecture Notes in Computer Science, Vol. 4460, 2007.
# Riečan, B., D. Mundici, Probability on MV-algebras. Handbook of Measure Theory (E. Pap. ed.), Elsevier Science B.V., Amsterdam, 2002.
# Riečan, B., T. Neubrunn, Integral, Measure and Ordering. Kluwer, Dordrecht, 1997.
# [15] Zadeh, L. A., The concept of linguistic variable and its application to approximate reasoning I. Information Sciences, 8 (3).
}}

File:Issues-14-2018-19-1-24.pdf.pdf

2021-02-13T21:35:32Z

Velin S. Andonov:

Issue:A new modal operator over intuitionistic fuzzy sets. Part 2

2021-02-06T01:00:03Z

Velin S. Andonov:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Issues in IFSs and GNs|{{PAGENAME}}]]
[[Category:Publications in 2017 year|{{PAGENAME}}]]
{{issue/title
| title = A new modal operator over intuitionistic fuzzy sets. Part 2
| shortcut = issues/13/171-177
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 Acad. G. Bonchev Str., Sofia-1113, Bulgaria,
| institution-2 = Intelligent Systems Laboratory, Prof. Asen Zlatarov University
| address-2 = 1 Prof. Yakimov Blvd., Burgas-8010, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
| sec-email-before-at =
| sec-email-after-at =
}}
{{issue/data
| conference =
| issue = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/13|"Issues in IFSs and GNs", Volume 13 (2017)]], pages 143-170
| file = Issues-13-2017-143-170.pdf
| format = PDF
| size = 147
| abstract = A new operator from modal type is introduced over the intuitionistic fuzzy sets. Some of its properties are studied. It is an extension of the series of modal type of operators, defined during last years.
| keywords = Intuitionistic fuzzy modal operator, Intuitionistic fuzzy operation.
| references =
# Atanassov, K., Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999.
# Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
# Atanassov, K., G. Cuvalcıoglu, V. Atanassova. A New Modal Operator over Intuitionistic Fuzzy Sets. Notes on Intuitionistic Fuzzy Sets, Vol. 20, 2014, No. 5, 1-8.
}}