Title of paper:
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Remark on the tautologies of the intuitionistic fuzzy logics
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Author(s):
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Krassimir Atanassov
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Center of Biomedical Engineering - Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl. 105, Sofia-1113, Bulgaria
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krat@bgcict.bitnet (current: krat@bas.bg)
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Published in:
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"Notes on IFS", Volume 1 (1995) Number 2, pages 119—122
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Download:
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PDF (810 Kb, File info)
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Abstract:
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Some assertions of the intuitionistic fuzzy logic are proved and the necesity of an axiomatic of this logic is discussed.
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Keywords:
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intuitionistic fuzzy logic, modal operator.
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AMS Classification:
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ОЗВ52, 03B05
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References:
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- Esenin-Volpin A., On set theory validity, in "Application of the logics in the science and technics", Moscow, Publishing House of the Soviet Union Academy of Sciences, I960 (in Russian) .
- Atanassov K., Two variants of intuitionistic fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia, 1988.
- Atanassov K., Two variants of intuitionistic fuzzy modal logic, Preprint IM-MFAIS-3-89, Sofia, 1989.
- Atanassov K., Gargov G., Intuitionistic fuzzy logic, Compt. rend. Acad. bulg. Sci, , Tome 43, N. 3, 1990, 9-12.
- Gargov G., Atanassov K., Two results in intuitionistic fuzzy logic, Compt. rend. Acad. bulg. Sci., Tome 45, N. 12, 1992, 29-31.
- Mendelson E., Introduction to mathematical logic, Princeton, NJ: D. Van Nostrand, 1964.
- Feys R, Modal logics, Paris, 1965.
- Prati N., A fuzzy alternative set theory, Riv. Mat. Univ.,Parma, Vol. 14, 1988, 181-191.
- Prati N., An axiomatization of fuzzy classes, Stochastica, Vol. 12, 65-78.
- Prati N., About the axiomatization of fuzzy set theory, Fuzzy Sets and Systems, Vol. 39, 1991, 101-109.
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