A New Exponential Fuzzy Entropy of Order-$(\alpha , \beta )$ and its Application in Multiple Attribute Decision-Making Problems

Abstract

Fuzzy entropy is an important concept to measure the fuzzy information. Measure of fuzziness of a fuzzy set is the measure of its fuzziness. In the present communication, we have defined an exponential fuzzy entropy of order-$(\alpha , \beta )$. Besides establishing the validity of the proposed measure, we have also discussed some of its properties. At last, we have given the application of the proposed measure in multiple attribute decision-making problems. In this section, we have considered two cases for the weights of attributes: One is the case when weights are completely unknown to us, and the other is the case when weights are partially known to us.

Keywords

Exponential entropy / Fuzzy set / Fuzzy entropy / Exponential fuzzy entropy / MADM

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