Abstract
The main purpose of this paper is to propose a method to deal with multi-attribute group decision making (MAGDM) problem without any weight information of both decision makers and attributes under an interval type-2 fuzzy set (IT2 FS) environment where the decision information is provided with linguistic variables. First, we determine the weight of each attribute and decision maker based on entropy weight method and extended TOPSIS method, respectively, which are the objective weight determination methods and can decrease the effect of subjective consciousness. Then a MAGDM procedure based on the proposed weight determination methods and classical TOPSIS method under IT2 FSs environment is presented. In the framework, the linguistic decision information is represented by IT2 FSs. Finally, we apply the proposed MAGDM procedure to evaluate the harnessing of four rivers in Chengdu, the capital of Sichuan province, to illustrate the practicality and effectiveness of the proposed method.
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