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http://ifigenia.org/wiki/issue:nifs/10/1/07-12
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| Title of paper:
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On the modal operators defined over intuitionistic fuzzy sets
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| Author(s):
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| Krassimir Atanassov
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| CLBME-Bulgarian Academy of Sciences, P.O. Box 12, Sofia-1113, Bulgaria
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| krat@bas.bg
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| Published in:
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"Notes on IFS", Volume 10 (2003) Number 1, pages 7-12
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| Download:
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 PDF (100 Kb, File info)
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| Abstract:
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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 A short review of the results, related to the extended modal operators over IFSs and new definitions and results unpublished up to now, have been given.
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| Keywords:
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Intuitionistic fuzzy sets, Modal operators over intuitionistic fuzzy sets, Intuitionistic fuzzy negation
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| References:
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- 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.
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