A Fuzzy TOPSIS Decision Making Model with Entropy Weight under Intuitionistic Fuzzy Environment

Chia-Chang Hung · Liang‐Hsuan Chen

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Multi-Criteria Decision Making Optimization and Mathematical Programming Fuzzy and Soft Set Theory

Abstract

Abstract—The theory of intuitionistic fuzzy set (IFS) is well suitable to deal with vagueness and hesitancy. In this study, we propose a new fuzzy TOPSIS decision making model using entropy weight for dealing with multiple criteria decision making (MCDM) problems under intuitionistic fuzzy environment. This model allows measuring the degree of satisfiability and the degree of non-satisfiability, respectively, of each alternative evaluated across a set of criteria. To obtain the weighted fuzzy decision matrix, we employ the concept of Shannon’s entropy to calculate the criteria weights. An investment example is used to illustrate the application of the proposed model. Index Terms—Entropy, Intuitionistic fuzzy set (IFS), Multiple criteria decision making (MCDM), TOPSIS I.

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1996Fuzzy sets 1986Intuitionistic fuzzy sets 1972A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory 1979Multiple Objective Decision Making ― Methods and Applications: A State-of-the-Art Survey 1993Vague sets 2000Distances between intuitionistic fuzzy sets 2001Entropy for intuitionistic fuzzy sets 1996Vague sets are intuitionistic fuzzy sets

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