A New Entropy Weight for Sub-Criteria in Interval Type-2 Fuzzy TOPSIS and Its Application

Instead of using weight for criteria, this paper considers entropy weights for sub-criteria in interval type-2 fuzzy TOPSIS method.

Abstract

Fuzzy Technique for Order Preference by Similarly to Ideal Solution (TOPSIS) is one of the most commonly used approaches in solving numerous mu ltip le criteria decision making problems. It has been widely used in ranking of mu lt iple alternatives with respect to mu ltiple criteria with the superiority of fu zzy set type-1 and subjective weights. Recently, fu zzy TOPSIS has been merged with interval type-2 fu zzy sets and subjective weights for criteria as to handle the wide arrays of vagueness and uncertainty. However, the role of ob jective weights in this new interval type-2 fuzzy TOPSIS has given considerably less attention. This paper aims to propose a new objective weight for sub-criteria in interval type-2 fu zzy TOPSIS. Instead of using weight for criteria, this paper considers entropy weights for sub-criteria in interval type-2 fu zzy TOPSIS method. An example of supplier select ion is used to illustrate the proposed method.