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Generalized Atanassov’s intuitionistic fuzzy index. Construction of Atanassov’s fuzzy entropy from fuzzy implication operators. (English) Zbl 1215.94104

Summary: We introduce the concept of Generalized Atanassov’s Intuitionistic Fuzzy Index. We characterize it in terms of fuzzy implication operators and propose a construction method with order automorphisms. Finally, we obtain, by means of special aggregation functions applied to the generalized Atanassov’s intuitionistic fuzzy index, the Atanassov’s intuitionistic fuzzy entropy given by P. Burillo and H. Bustince [Fuzzy Sets Syst. 78, No. 3, 305–316 (1996; Zbl 0872.94061)].

MSC:

94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
94A17 Measures of information, entropy

Citations:

Zbl 0872.94061
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References:

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