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

2021-10-26T23:30:28Z

Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

New page

[[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:Norms over intuitionistic fuzzy congruence relations on rings - Revision history

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