Issue:A method for constructing non t-representable intuitionistic fuzzy t-norms satisfying the residuation principle

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http://ifigenia.org/wiki/issue:eusflat-2003-164-167

Title of paper: A method for constructing non t-representable intuitionistic fuzzy t-norms satisfying the residuation principle Author(s): Glad Deschrijver Department of Mathematics and Computer Science, Ghent University, Fuzziness and Uncertainty Modelling Research Unit, Krijgslaan 281, S9, B-9000 Ghent, Belgium glad.deschrijver@rug.ac.be Etienne Kerre Department of Mathematics and Computer Science, Ghent University, Fuzziness and Uncertainty Modelling Research Unit, Krijgslaan 281, S9, B-9000 Ghent, Belgium etienne.kerre@rug.ac.be Presented at: 3rd Conference of the European Society for Fuzzy Logic and Technology, Zittau, Germany, September 10-12, 2003 Published in: Conference proceedings, pages 164-167 Download:  PDF (132  Kb, File info) Abstract: Intuitionistic fuzzy sets constitute an extension of fuzzy sets, giving both a membership degree and a non-membership degree, whose sum must be smaller than or equal to 1. In fuzzy set theory, an important class of triangular norms is the class of those that satisfy the residuation principle. In this paper we give a construction for intuitionistic fuzzy t-norms satisfying the residuation principle which are not t-representable. Keywords: intuitionistic fuzzy set, intuitionistic fuzzy t-norm, residuation principle References: n/a Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.