关键词: 多属性群决策, 前景理论, 犹豫模糊集, 期望得分函数值

Abstract: In view of the hesitant fuzzy multi-attribute group decision making problems with the information of attribute weights which are completely unknown, a method based on the new reference point and prospect theory is proposed. The hesitant fuzzy decision making matrices have been turned into interval fuzzy decision making matrices, and then combined with the estimation of t-distribution, this paper investigates the expected value of the score function as the reference point. Based on the difference between the attribute value’ score function and the reference point, the value function and the prospect value matrix have been obtained. It applies the prospect value variance to calculate the attribute weights, and then the weighted prospect value of alternative is acquired on the base of the prospect theory. All the alternatives are ordered. A numerical example about the selection of cloud computing offerings is provided to illustrate the feasibility and effectiveness of the proposed approach.

Key words: multi-attribute group decision making, prospect theory, hesitant fuzzy set, expected value of score function