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Issue:A remark on intuitionistic fuzzy implications: Difference between revisions

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  | title          = On interval-valued intuitionistic fuzzy modal operators
  | title          = A remark on intuitionistic fuzzy implications
  | shortcut        = nifs/24/2/1-7
  | shortcut        = nifs/24/2/1-7
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Revision as of 10:14, 11 May 2018

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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, File 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:
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  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.
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  14. Atanassov, K., & Kolev, B. (2006) On an intuitionistic fuzzy implication from a probabilistic type. Advanced Studies in Contemporary Mathematics, 12(1), 111–116.
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  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.
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  43. Dworniczak, P. (2011) On some two-parametric intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 17(2), 8–16.
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