Interval valued fuzzy sets based on normal forms. (English) Zbl 0618.94020

Interval valued fuzzy sets are proposed for the representation of combined concepts based on normal forms where linguistic connectives as well as variables are assumed to be fuzzy. It is shown that the proposed representation (1) exists for certain families of the conjugate pairs of t-norms and t-conorms; and (2) resolves some of the difficulties associated with particular interpretations of conjunction, disjunction, and implication in fuzzy set theories.


94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
03B52 Fuzzy logic; logic of vagueness
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