Positive and negative interval type-2 generalized fuzzy number as a linguistic variable in interval type-2 fuzzy entropy weight for MCDM problem

Abstract

Generalized fuzzy number is an extended method of fuzzy number. Generalized fuzzy number has received significant attention from researchers in many areas. However, most of the generalized fuzzy number is defined only on one side which is in positive generalized fuzzy number. Therefore, the aim of this paper is to introduce a new generalized fuzzy number which considers positive and negative side in the concept of interval type-2 fuzzy set (IT2FS). Then, a new linguistic variable is established from the concept of new generalized fuzzy number. This new linguistic variable is applied into the interval type-2 entropy weight for multi-criteria decision-making (MCDM) method. Interval type-2 entropy weight is chosen as the weight in MCDM because the determination of this weight in the existing project delivery decision-making model relies on experts’ knowledge and experience excessively. An aggregation process in MCDM method is modified in line with the new linguistic variable. An illustrative example is used in order to check the efficiency of the new method. This approach offers a practical, effective, and simple way to produce a comprehensive judgment.