Issue:A generalization of operators on intuitionistic fuzzy sets using triangular norms and conorms

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Title of paper: A generalization of operators on intuitionistic fuzzy sets using triangular norms and conorms Author(s): Glad Deschrijver Fuzziness and Uncertainty Modelling, Department of Applied Mathematics and Computer Science, Ghent University, Krijgslaan 281, S9, B-9000 Gent, Belgium Glad.Deschrijver@rug.ac.be Etienne Kerre Fuzziness and Uncertainty Modelling, Department of Applied Mathematics and Computer Science, Ghent University, Krijgslaan 281, S9, B-9000 Gent, Belgium Etienne.Kerre@rug.ac.be Published in: Notes on Intuitionistic Fuzzy Sets, Volume 8 (2002), Number 1, pages 19—27 Download:  PDF (145  Kb, File info) Abstract: Several operators on intuitionistic fuzzy sets, such as union, intersection, sum and product, have been defined using common triangular norms and conorms. In this paper we introduce and analyse the properties of a generalised union and a generalised intersection of intuitionistic fuzzy sets using a general t-norm and t-conorm. In particular we will investigate properties such as commutativity, associativity, distributivity, idempotency, Morgan-laws, and absorption laws. Keywords: Intuitionistic fuzzy sets, Generalised union, Generalised intersection References: Atanassov K. T., Intuitionistic fuzzy sets, VII ITKR's Session, Sofia, June 1983 (Deposed in Central Sci. - Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulgarian) Atanassov K. T., Intuitionistic fuzzy sets, Physica-Verlag Heidelberg New York, 1999 Kerre E. E. (ed.), Introduction to the Basic Principles of Fuzzy Set Theory and some of its Applications, Communication and Cognition, Gent, 1993 (second revised edition) 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.