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Issue:On some properties of intuitionistic fuzzy implications

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http://ifigenia.org/wiki/issue:eusflat-2003-168-171
Title of paper: On some properties of intuitionistic fuzzy implications
Author(s):
Michał Baczyński
Institute of Mathematics, University of Silesia, 40-007 Katowice, ul. Bankowa 14, Poland
mbaczyns@us.edu.pl
Presented at: 3rd Conference of the European Society for Fuzzy Logic and Technology, Zittau, Germany, September 10-12, 2003
Published in: Conference proceedings, pages 168-171
Download:  PDF (98  Kb, Info)
Abstract: We discuss the algebraic properties of intuitionistic fuzzy implications. We examine the conjugacy problem in this family of functions. The characterizations of intuitionistic fuzzy S-implications and some lattice properties of intuitionistic fuzzy implications are presented.
Keywords: Intuitionistic fuzzy implication, S-implication, conjugate implications
References:
  1. K.T. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, (Phisica-Verlag, Heidelberg — New York, 1999).
  2. M. Baczyński and J. Drewniak, Conjugacy classes of fuzzy implication, in: B. Reusch, ed., Computational Inteligence: Theory and Applications (Lecture Notes in Comput. Sci. 1625, Springer, Berlin, 1999) 287–298.
  3. M. Baczyński and J. Drewniak, Monotonic fuzzy implications, in: P.S. Szczepaniak, P.J.G. Lisboa and J. Kacprzyk (Eds.), Fuzzy Systems in Medicine, Physica-Verlag, Heidelberg — New York 2000, (Studies in Fuzziness and Soft Computing; Vol. 41), pp. 90-111.
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