8-9 October 2020 • Burgas, Bulgaria

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

Issue:A property of the intuitionistic fuzzy implications

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Title of paper: A property of the intuitionistic fuzzy implications
Author(s):
Krassimir Atanassov
Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
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Published in: "Notes on IFS", Volume 18 (2012) Number 2, pages 1—12
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Abstract: It is checked which intuitionistic fuzzy implications satisfy the equality x → y = x → (x → y).
Keywords: Implication, Intuitionistic fuzzy set, Operation.
AMS Classification: 03E72
References:
  1. Atanassov, K. Intuitionistic Fuzzy Sets, Heidelberg, Springer, 1999.
  2. Atanassov, K. Second Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 3, 11–14.
  3. Atanassov, K., D. Dimitrov. Intuitionistic fuzzy implications and axioms for implications. Notes in Intuitionistic Fuzzy Sets, Vol. 16, 2010, No. 1, 10–20.
  4. Chen, J., S. Kundu. A sound and complete fuzzy logic system using Zadeh’s implication operator. Lecture Notes in Computer Science, Vol. 1079, 1996, 233–242.
  5. Klir, G. and Bo Yuan, Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.
  6. Shi, Y., D. Ruan, E. Kerre. On the characterizations of fuzzy implications satisfying I(x, y) = I(x, I(x, y)). Information Science, Vol. 177, 2007. No. 14, 2954–2970.
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