摘要:An Extended TOPSIS Method deals with multiple attribute group decision making problems in which the attribute values and weights take the form of the generalized interval-valued trapezoidal fuzzy numbers (GIVTFN). First, some properties are defined, such as the concept and the relational calculation rules of GIVTFN, the distance and its characteristics of GIVTFN, and the method which can transform the linguistic terms into GIVTFN. Second, the normalization method of GIVTFN is illustrated, and an extended TOPSIS method based on the GIVTFN is presented in detail. The order of the alternatives is ranked based on the relative closeness coefficient of TOPSIS. Finally, an illustrate example is given to show the effectiveness of this method and this decision making steps.
关键词:interval-valued fuzzy number; relative closeness coefficient; multiple attribute group decision making