| Title of paper:
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On some properties of intuitionistic fuzzy implications
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| Author(s):
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| Michał Baczyński
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| Institute of Mathematics, University of Silesia, 40-007 Katowice, ul. Bankowa 14, Poland
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| mbaczyns@us.edu.pl
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| Presented at:
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3rd Conference of the European Society for Fuzzy Logic and Technology, Zittau, Germany, September 10-12, 2003
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| Published in:
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Conference proceedings, pages 168-171
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| Download:
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 PDF (98 Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Intuitionistic fuzzy implication, S-implication, conjugate implications
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| References:
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- K.T. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, (Phisica-Verlag, Heidelberg — New York, 1999).
- 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.
- 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.
- H. Bustince, J. Kacprzyk and V. Mohedano, Intuitionistic fuzzy generators — Application to intuitionistic fuzzy complementation, Fuzzy Sets and Systems. 114 (2000) 485-504.
- H. Bustince, E. Barrenechea and V. Mohedano, Characterization of the intuitionistic fuzzy S-implications, submitted to Fuzzy Sets and Systems
- 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.
- 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.
- 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.
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- G. Deschrijver, C. Cornelis and E. Kerre, On the representation of intuitionistic fuzzy t-norms and t-conorms, manuscript.
- J.C. Fodor and M. Roubens, Fuzzy Preference Modelling and Multicriteria Decision Support (Kluwer, Dordrecht, 1994).
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| Citations:
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