8-9 October 2020 • Burgas, Bulgaria

Submission: 15 May 2020 • Notification: 31 May 2020 • Final Version: 15 June 2020

Issue:An (α,β)-tautology and a problem, related to it

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Title of paper: An (α,β)-tautology and a problem, related to it
Author(s):
Krassimir Atanassov
Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Burgas–8010, Bulgaria
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Published in: "Notes on IFS", Volume 20, 2014, Number 4, pages 65–67
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Abstract: The concept of an (α,β)-intuitionistic fuzzy tautology is introduced and it is shown that it generalizes the currently existing tautologies in intuitionistic fuzzy logic. An open problem is formulated about implications’ capacity to satisfy the Modus Ponens in the form of (α,β)- tautology.
Keywords: Intuitionistic fuzzy tautology, Tautology.
AMS Classification: 03E72
References:
  1. Atanassov, K., Review and new results on intuitonistic fuzzy sets. Preprint IM-MFAIS-1-88, Sofia, 1988.
  2. Atanassov, K., Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999.
  3. Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
  4. Atanassov, K., G. Gargov. Elements of intuitionistic fuzzy logic. I. Fuzzy sets and Systems, Vol. 95, 1998, No. 1, 39–52.
  5. Detyniecki, M., M.-J. Lesot, P. Moncuquet, Intuitionistic Fuzzy Tautology Definitions forthe Validity of Intuitionistic Fuzzy Implications: An Experimental Study, Proceedings ofthe 7th IEEE International Conference Intelligent Systems IS2014, Volume 1: MathematicalFoundations, Theory, Analyses, September 2426 2014, Warsaw, Poland, 171–181.
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