A weighted aggregation operators multi-attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers

A multi-attribute group decision-making method based on weighted aggregation operators is presented to solve the decision-making problems which the attribute values and the weights take the form of 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 of linguistic terms transformed into GIVTFN. Second, the normalization method of GIVTFN, generalized interval-valued trapezoidal fuzzy number weighted aggregation operator (ITWA), the generalized interval-valued trapezoidal fuzzy number ordered weighted aggregation operator (ITOWA), and the generalized interval-valued trapezoidal fuzzy numbers hybrid aggregation operator (ITHA) are proposed. The group decision methods based on these operators are also illustrated. Finally, in this paper an illustrative example is given to show this decision-making steps and the effectiveness of this method. (C) 2010 Elsevier Ltd. All rights reserved.