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On Generalized Fuzzy Entropy and Fuzzy Divergence Measure with Applications

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  • Surender Singh

    (Shri Mata Vaishno Devi University, Katra, India)

  • Sonam Sharma

    (Shri Mata Vaishno Devi University, Katra, India)

Abstract

Entropy in a fuzzy set measures the amount of ambiguity/imprecision presented in the fuzzy set. In this article, the authors introduce a generalized fuzzy entropy measure and demonstrate its effectiveness in Multiple Attribute Decision Making (MADM) and superiority from the point of view of structured linguistic variables. This article also introduces a generalized fuzzy directed divergence and investigates its properties. Further, this article demonstrates the effectiveness of the proposed generalized directed divergence in pattern recognition.

Suggested Citation

  • Surender Singh & Sonam Sharma, 2019. "On Generalized Fuzzy Entropy and Fuzzy Divergence Measure with Applications," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 8(3), pages 47-69, July.
    • Handle: RePEc:igg:jfsa00:v:8:y:2019:i:3:p:47-69
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