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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 IFS", Volume 10 (2004) Number 1, pages 7-12
Download:  PDF (100  Kb, 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 A short review of the results, related to the extended modal operators over IFSs and new definitions and results unpublished up to now, have been given.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:
  1. K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Berlin, 1999.
  2. 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).
  3. Atanassov, K. New operators over intuitionistic fuzzy sets. Proc. of IPMU'04, Perugie, Italy, June 2004 (in press).
  4. Feys R., Modal logics, Gauthier-Villars, Paris, 1965.
  5. 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.
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