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Issue:On modal forms of the two-parametric weak intuitionistic fuzzy implication

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Title of paper: On modal forms of the two-parametric weak intuitionistic fuzzy implication
Author(s):
Piotr Dworniczak
Department of Economics, The Great Poland University of Social and Economics, ul. Surzyńskich 2, 63-000 Środa Wlkp., Poland
p.dworniczak@wwsse.pl
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 2, pages 113–119
DOI: https://doi.org/10.7546/nifs.2022.28.2.113-119
Download:  PDF (639  Kb, File info)
Abstract: In this paper new modal forms of the two-parametric weak intuitionistic fuzzy implication are introduced. Fulfillment of some properties, together with Modus Ponens and Modus Tollens inference rules, are investigated. Negations generated by implications are presented.
Keywords: Intuitionistic fuzzy logic, Weak intuitionistic fuzzy implication, Intuitionistic fuzzy negation.
AMS Classification: 03E72.
References:
  1. Atanassov, K. T. (1983). 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), reprint and English version in: International Journal Bioautomation, 20, S1, 1–6.
  2. Atanassov, K. T. (2017). Intuitionistic Fuzzy Logics. Springer International Publishing, Cham.
  3. Atanassov, K. T., & Angelova, N. (2021). Research on intuitionistic fuzzy implications. Notes on Intuitionistic Fuzzy Sets, 27(2), 20–93.
  4. Atanassov, K. T., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
  5. Atanassova, L. (2010). Four modal forms of intuitionistic fuzzy implication →@ and two related intuitionistic fuzzy negations. Part 1. Notes on Intuitionistic Fuzzy Sets, 16(2), 31–34.
  6. Dworniczak, P. (2011). Inclusion of the intuitionistic fuzzy sets based on some weak intuitionistic fuzzy implications. Cybernetics and Information Technologies, 11(3), 12–22.
  7. Dworniczak, P. (2011). On some two-parametric intuitionistic fuzzy implications. Notes on Intuitionistic Fuzzy Sets, 17(2), 8–16.
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