Two-sided (intuitionistic) fuzzy reasoning

  • Authors:
  • T. Ciftcibasi;D. Altunay

  • Affiliations:
  • Hacettepe Univ., Ankara;-

  • Venue:
  • IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
  • Year:
  • 1998

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Abstract

Fuzzy propositional logic structure is summarized; different forms of fuzzy propositional expressions and their relations are discussed. Two-sided fuzzy proposition is defined in propositional logic algebra as the counterpart of intuitionistic fuzzy set. The concept of two-sided fuzzy reasoning is discussed and its mathematical structure is developed. Using two-sided fuzzy propositions, human decision-making can be closely simulated by considering his perception of both (somewhat opposite) sides of the subject matter simultaneously. Multiuniverse two-sided fuzzy propositions are presented and multiuniverse operations are defined. Two-sided fuzzy if-then rules are investigated under different interpretations of fuzzy implications, Approximate of these different implications and the inferences in the output universe are investigated, and associated error terms are identified