A multi-attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers hybrid harmonic averaging operators

A method based on ordered weighted harmonic averaging operators is presented to solve the multiple attribute group decision making problems in which the attribute values take the form of generalized interval-valued trapezoidal fuzzy numbers (GIVTFN). Firstly, the concept, the operational rules and the distance of GIVTFN are introduced, and the method of linguistic terms transformed into GIVTFN is defined. Secondly, the generalized interval-valued trapezoidal fuzzy numbers weighted harmonic averaging operator (ITWHA), the generalized interval-valued trapezoidal fuzzy numbers ordered weighted harmonic averaging operator (ITOWHA), and the generalized interval-valued trapezoidal fuzzy numbers hybrid harmonic averaging operator (ITHHA) are proposed. A group decision method based on these operators is also presented. Finally, an illustrate example is given to show the decision-making steps and the effectiveness of the proposed method.