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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Harish Garg & Nikunj Agarwal & Alka Tripathi, 2017. "Generalized Intuitionistic Fuzzy Entropy Measure of Order α and Degree β and Its Applications to Multi-Criteria Decision Making Problem," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 6(1), pages 86-107, January.
  • Handle: RePEc:igg:jfsa00:v:6:y:2017:i:1:p:86-107
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