Issue:On the modal operators defined over the intuitionistic fuzzy sets

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Title of paper: On the modal operators defined over the intuitionistic fuzzy sets Author(s): Krassimir Atanassov CLBME-Bulgarian Academy of Sciences, P.O. Box 12, Sofia-1113, Bulgaria krat@bas.bg Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 10 (2004) Number 1, pages 7-12 Download:  PDF (100  Kb, File info) Abstract: Intuitionistic fuzzy set is one of the extensions of fuzzy sets. A lot of operators are defined over the IFSs (modal, topological, level). Some of these operators (e.g., the modal operators) cannot be defined over ordinary fuzzy sets. A short review of the results, related to the extended modal operators over IFSs and new definitions and results unpublished up to now, have been given. Keywords: Intuitionistic fuzzy sets, Modal operators over intuitionistic fuzzy sets, Intuitionistic fuzzy negation References: K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Berlin, 1999. Atanassov, K. Seven new modal type of operators over intuitionistic fuzzy sets. Issues in Intuitionistic Fuzzy Sets and Generalized Nets (K. Atanassov, J. Kacprzyk and M. Krawczak, Eds.), Wydawnictwo WSISiZ, Warszawa, 2004 (in press). Atanassov, K. New operators over intuitionistic fuzzy sets. Proc. of IPMU'04, Perugie, Italy, June 2004 (in press). Feys R., Modal logics, Gauthier-Villars, Paris, 1965. Nikolova M., N. Nikolov, C. Cornelis, G. Deschrijver, Survey of the research on intuitionistic fuzzy sets. Advanced Studies in Contemporary Mathematics, Vol. 4, 2002, No. 2, 127-157. Citations: Issue:Some modal operators with intuitionistic fuzzy sets ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.