8-9 October 2020 • Burgas, Bulgaria

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

Issue:On some properties of intuitionistic fuzzy implications

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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
mbaczynsAt sign.pngus.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
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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.
  4. H. Bustince, J. Kacprzyk and V. Mohedano, Intuitionistic fuzzy generators — Application to intuitionistic fuzzy complementation, Fuzzy Sets and Systems. 114 (2000) 485-504.
  5. H. Bustince, E. Barrenechea and V. Mohedano, Characterization of the intuitionistic fuzzy S-implications, submitted to Fuzzy Sets and Systems
  6. C. Cornelis and G. Deschrijver, The Composition Rule of Inference in an Intuitionistic Fuzzy Logic Framework, In Proceedings of ESSLLI 2003 Student Session, (Kristina Streignitz ed.), Kluwer Academic Publisher, 2001, pp.83-94.
  7. C. Cornelis, G. Deschrijver and E. Kerre, Classification of Intuitionistic Fuzzy Implicators: an algbraic Approach, In Proceedings of the FT&T’02, Durham, North Carolina, pp.105-108.
  8. C. Cornelis, G. Deschrijver and E. Kerre, Implication in intuitionistic and interval valued fuzzy set theory: construction, classification, application, submitted to Int. J. Approx. Reasoning.
  9. G. Deschrijver, C. Cornelis and E. Kerre, Intuitionistic fuzzy connectives revisited, in Proceedings of IPMU ’02, July 1-5, 2002.
  10. G. Deschrijver, C. Cornelis and E. Kerre, On the representation of intuitionistic fuzzy t-norms and t-conorms, manuscript.
  11. J.C. Fodor and M. Roubens, Fuzzy Preference Modelling and Multicriteria Decision Support (Kluwer, Dordrecht, 1994).
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