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Issue:Remark on the tautologies of the intuitionistic fuzzy logics

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