| Title of paper:
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Four modal forms of intuitionistic fuzzy implication →@ and two related intuitionistic fuzzy negations. Part 1
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| Author(s):
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| Lilija Atanassova
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| Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 2, Sofia-1113, Bulgaria
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| l.c.atanassova@gmail.com
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| Presented at:
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14th ICIFS, Sofia, 15-16 May 2010
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| Published in:
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Conference proceedings, "Notes on Intuitionistic Fuzzy Sets", Volume 16 (2010) Number 2, pages 31—34
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| Download:
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 PDF (143 Kb, File info)
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| Abstract:
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Four modal forms of the intuitionistic fuzzy implication →@ are introduced. These four implications generate two new intuitionistic fuzzy negations. Some basic properties of these operations are studied.
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| Keywords:
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Implication, Intuitionistic fuzzy logic, Intuitionistic logic.
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| References:
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- Atanassov, K., Two variants of intuitionistic fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia, 1988.
- Atanassov, K. Intuitionistic Fuzzy Sets. Springer Physica-Verlag, Heidelberg, 1999.
- Atanassov, K. Intuitionistic fuzzy implications and Modus Ponens. Notes on Intuitionistic Fuzzy Sets, Vol. 11, 2005, No. 1, 1-5.
- Atanassova, L., A new intuitionistic fuzzy implication. Cybernetics and Information Technologies, Vol. 9, 2009, No. 2, 21-25.
- Feys, R., Modal Logics, Gauthier-Villars, Paris, 1965.
- Klir, G. and Bo Yuan, Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.
- Mendelson, E., Introduction to mathematical logic, Princeton, New Jersey, 1964.
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