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Issue:On the intuitionistic fuzzy form of the classical implication (A → B) ∨ (B → A)

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Title of paper: On the intuitionistic fuzzy form of the classical implication (A → B) ∨ (B → A)
Author(s):
Lilija Atanassova
Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, "Acad. G. Bonchev” Str., Bl. 2, Sofia–1113, Bulgaria
l.c.atanassova@gmail.com
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 19, 2013, Number 4, pages 15—18
Download:  PDF (110  Kb, File info)
Abstract: The intuitionistic fuzzy implications that satisfy the well-known logical tautology (A → B) V (B → A) are described. Some of the intuitionistic fuzzy implications satisfy the expression as intuitionistic fuzzy tautology and a part of them – as a tautology in intuitionistic

fuzzy sense.

Keywords: Intuitionistic fuzzy implication, Intuitionistic fuzzy tautology, Tautology.
AMS Classification: 03E72.
References:
  1. Atanassov, K. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
  2. Atanassov, K., E. Szmidt, J. Kacprzyk, On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 3, 1-12.
  3. Dworniczak, P. Some remarks about the L. Atanassova's paper "A new intuitionistic fuzzy implication", Cybernetics and Information Technologies, Vol. 10, 2010, No. 3, 3-9.
  4. Dworniczak, P. On one class of intuitionistic fuzzy implications, Cybernetics and Information Technologies, Vol. 10, 2010, No. 4, 13-21.
  5. Dworniczak, P. On some two-parametric intuitionistic fuzzy implications, Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 2, 8-16.
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