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Issue:On the intuitionistic fuzzy logic operations

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Title of paper: On the intuitionistic fuzzy logic operations
Author(s):
George Gargov
Linguistic Modelling Laboratory - CICT, Sofia, Bulgaria
Krassimir Atanassov
Central Lab. on Biomedical Engineering - Bulgarian Academy of Sciences, Acad G. Bonchev Str., bl. 105, Sofia - 1113
krat@bgcict.bitnet    (current: krat@bas.bg)
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 1 (1995) Number 1, pages 1—4
Download:  PDF (157  Kb, File info)
Abstract: Some operations of the Intuitionistic Fuzzy Logic (IFL) are introduced in [1,2] and their basic properties are studied. While operations ¬ (negation), & (conjunction), and ∨ (disjunction) are defined in one form, the operation ⊃ has ten ones. Here, we shall introduce other variants of the binary (i.e. without the unary operation ¬) operations and shall show some of their properties.


References:
  1. Atanassov K., Two variants of intuitionistic fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia, 1988
  2. Atanassov K., Gargov G., Georgiev Ch., Remark on intuitionistic fuzzy Modus Ponens, Second Sci. Session of the "Mathematical Foundation of Artificial Intelligence" Seminar, Sofia, March 30, 1990, Preprint IM-MFAIS-1-90, 10-13
  3. Mendelson E., Introduction to mathematical logic, Princeton, NJ: D. Van Nostrand, 1964
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