Generalized Intuitionistic Fuzzy Entropy Measure of Order α and Degree β and Its Applications to Multi-Criteria Decision Making Problem

Harish Garg, Nikunj Agarwal and Alka Tripathi
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Harish Garg: Thapar University Patiala, Patiala, India
Nikunj Agarwal: Jaypee Institute of Information Technology, Noida, India
Alka Tripathi: Department of Mathematics, Jaypee Institute of Information Technology, Noida, India

International Journal of Fuzzy System Applications (IJFSA), 2017, vol. 6, issue 1, 86-107

Abstract: The objective of this manuscript is divided into two fold. Firstly, a more generalized intuitionistic fuzzy entropy measure of order and degree has been presented for measuring the degree of fuzziness of the set with a proof of its validity. A structured linguistic variable has been taken as an illustrative example to show its validity and superiority than the existing measures. Furthermore, based on this measure, an approach to deal with multi-criteria decision making (MCDM) problem is developed. Finally, a practical example is provided to illustrate the decision making process. A computed result is compared with the help of existing results. A sensitivity analysis on the different values of the parameters will make a decision maker more choice for accessing their results.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:igg:jfsa00:v:6:y:2017:i:1:p:86-107

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