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Multicriteria decision making method based on intuitionistic fuzzy weighted entropy

journal contribution
posted on 2023-03-07, 04:26 authored by JZ Wu, Q Zhang
This paper proposes the concept of intuitionistic fuzzy weighted entropy, and presents a new method for intuitionistic fuzzy multicriteria decision making problems. We first introduce some classical intuitionistic fuzzy entropy measures and verify the entropy of the intuitionistic fuzzy set is the average value of the entropies of its intuitionistic fuzzy values. Then, we present the concept of the intuitionistic fuzzy weighted entropy, which is a natural extension of the entropy for intuitionistic fuzzy sets. Some important weight entropy measures, such as the weighted Szmidt and Kacprzyk entropy, the weighted De Luca-Termini entropy, the weighted score function based entropy, and the weighted min-max entropy, are also given. According to the minimum entropy principle, we establish the programming model to generate optimal weight of criteria, and present the corresponding multicriteria decision making method. Finally, two illustrative examples are given to verify the developed approach. © 2010 Elsevier Ltd. All rights reserved.

History

Journal

Expert Systems with Applications

Volume

38

Pagination

916-922

ISSN

0957-4174

Language

en

Issue

1

Publisher

Elsevier BV

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