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Issue:A remark on intuitionistic fuzzy implications

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Title of paper: A remark on intuitionistic fuzzy implications
Author(s):
Peter Vassilev
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
peter.vassilev@gmail.com
Simeon Ribagin
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
sim_ribagin@mail.bg
Janusz Kacprzyk
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland
kacprzyk@ibspan.waw.pl
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 2, pages 1–7
DOI: https://doi.org/10.7546/nifs.2018.24.2.1-7
Download:  PDF (174 Kb  Kb, Info)
Abstract: In the paper an attempt is made at introducing a classification scheme for some of the intuitionistic fuzzy implications. This has allowed us to navigate the existing implications in a more consistent manner and has revealed a duplicate implication.
Keywords: Intuitionistic fuzzy implication, Classification, Intuitionistic fuzzy pair.
AMS Classification: 03E72
References:
  1. Angelova, N., & Atanassov, K. (2015) Intuitionistic fuzzy implications and the axioms of intuitionistic logic. In: Proc. of the 9th Conference of theEuropean Society for Fuzzy Logic and Technology(EUSFLAT), 30.06-03.07 2015, Gijon, Spain, 1578–1584.
  2. Angelova, N., & Atanassov K. (2016) Intuitionistic fuzzy implications and Klir–Yuan's axioms. In: Atanassov KT, Castillo O, Kacprzyk J, Krawczak M, Melin P, Sotirov S, Sotirova E, Szmidt E, De Tr G, Zadrony S, editors. Novel developments in uncertainty representation and processing. Advances in intuitionistic fuzzy sets and generalized nets, 401, 97–110.
  3. 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.
  4. Atanassov, K. (2006) A new intuitionistic fuzzy implication from a modal type. Advanced Studies in Contemporary Mathematics, 12(1), 117–122.
  5. Atanassov, K. (2006) On some intuitionistic fuzzy implications. Comptes Rendus de l'Academie bulgare des Sciences, 59(1), 19–24.
  6. Atanassov, K. (2006) On eight new intuitionistic fuzzy implications. In: Proc. of the 3rd International IEEE Conference on "Intelligent Systems" IS06, London, 4-6 September 2006, 741–746.
  7. Atanassov K. (2008) On intuitionistic fuzzy implication!" and intuitionistic fuzzy negation :";�: Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 6, 6–19.
  8. Atanassov, K. (2008) Intuitionistic fuzzy implication !";� and intuitionistic fuzzy negation :";�: Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, 1, 1–10.
  9. 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, Gijon, Spain, 1592–1597.
  10. Atanassov, K. (2016) On intuitionistic fuzzy implications. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 12, 1–19.
  11. Atanassov, K. (2017) Intuitionistic Fuzzy Logics. Springer, Cham, Switzerland.
  12. Atanassov, K., Angelova, N., Szmidt, E., & Kacprzyk, J. (2016) Properties of the intuitionistic fuzzy implication!186 : Notes on Intuitionistic Fuzzy Sets, 22(4), 6–12.
  13. Atanassov, K., & Dimitrov, D. (2010) Intuitionistic fuzzy implications and axioms for implications. Notes on Intuitionistic Fuzzy Sets, 16(1), 10–20.
  14. Atanassov, K., & Kolev, B. (2006) On an intuitionistic fuzzy implication from a probabilistic type. Advanced Studies in Contemporary Mathematics, 12(1), 111–116.
  15. Atanassov, K., Ribagin, S., Doukovska, L., & Atanassova, V. (2017) Intuitionistic fuzzy implication!190 : Notes on Intuitionistic Fuzzy Sets, 23(4), 79–83.
  16. Atanassov, K., & Szmidt, E. (2014) Remark on intuitionistic fuzzy implication!";� : Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 11, 9–14.
  17. Atanassov, K., Szmidt, E., & Angelova, N. (2017) Properties of the intuitionistic fuzzy implication!187; Notes on Intuitionistic Fuzzy Sets, 23(3), 3–8.
  18. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013) On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
  19. 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.
  20. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017) Intuitionistic fuzzy implication !187; Notes on Intuitionistic Fuzzy Sets, 23(2), 37–43.
  21. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017) Intuitionistic fuzzy implication !188; Notes on Intuitionistic Fuzzy Sets, 23(1), 6–13.
  22. 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.
  23. Atanassov, K, & Trifonov, T. (2006) Two new intuitionistic fuzzy implications. Advanced Studies in Contemporary Mathematics, 13(1), 69–74.
  24. Atanassova, L. (2008) On an intuitionistic fuzzy implication from Kleene-Dienes type. Proceedings of the Jangjeon Mathematical Society, 11(1), 69–74.
  25. Atanassova, L. (2008) Modifications of an intuitionistic fuzzy implication from Kleene–Dienes type. Advanced Studies in Contemporary Mathematics, 16(2), 155–160.
  26. Atanassova, L. (2008) New modifications of an intuitionistic fuzzy implication from Kleene–Dienes type. Part 2. Annual of Section "Informatics", 1, 59–64.
  27. 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.
  28. Atanassova, L. (2009) A new intuitionistic fuzzy implication. Cybernetics and Information Technologies, 9(2), 21–25.
  29. Atanassova, L. (2009) On some properties of intuitionistic fuzzy negation :@: Notes on Intuitionistic Fuzzy Sets, 15(1), 32–35.
  30. Atanassova, L. (2012) On two modifications of the intuitionistic fuzzy implication !@ : Notes on Intuitionistic Fuzzy Sets, 18(2), 26–30.
  31. Atanassova, L. (2013) On the modal form of the intuitionistic fuzzy implications !0@ and !00 @ : Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 10, 5–11.
  32. Atanassova, L. (2013) On the intuitionistic fuzzy form of the classical implication (A ! B) _ (B ! A): Notes on Intuitionistic Fuzzy Sets, 19(4), 15–18.
  33. Atanassova, L. (2014) Remark on the intuitionistic fuzzy forms of two classical logic axioms. Part 1. Annual of Section "Informatics.", 7, 24–27.
  34. 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.
  35. Atanassova, L. (2015) Remark on Dworniczak’s intuitionistic fuzzy implications. Part 1. Notes on Intuitionistic Fuzzy Sets, 21(3), 18–23.
  36. Atanassova, L. (2015) Remark on Dworniczak’s intuitionistic fuzzy implications. Part 2, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 12, 61–67.
  37. Atanassova, L. (2016) Remark on Dworniczak’s intuitionistic fuzzy implications. Part 3. Notes on Intuitionistic Fuzzy Sets, 22(1), 1–6.
  38. Atanassova, L. (2017) Intuitionistic fuzzy implication !189; Notes on Intuitionistic Fuzzy Sets, 23(1), 14–20.
  39. Atanassova, L. (2017) Properties of the intuitionistic fuzzy implication !189 : Notes on Intuitionistic Fuzzy Sets, 23(4), 10–14.
  40. Baczynski, M. (2003) On some properties of intuitionistic fuzzy implications. In: Proc. of the 3rd Conference of the European Society for Fuzzy Logic and Technology, Zittau, Germany, September 10–12, 168–171.
  41. Dworniczak, P. (2010) Some remarks about the L. Atanassova's paper "A new intuitionistic fuzzy implication." Cybernetics and Information Technologies, 10(3), 3–9.
  42. Dworniczak, P. (2010) On one class of intuitionistic fuzzy implications. Cybernetics and Information Technologies, 10(4), 13–21.
  43. Dworniczak, P. (2011) On some two-parametric intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 17(2), 8–16.
  44. 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.
  45. 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.
  46. 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.
  47. Bakhadach, I., Melliani, S. & Chadli, L. S. (2017) On intuitionistic fuzzy implications. Notes on Intuitionistic Fuzzy Sets, 23(5), 7–19.
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