关键词: 直觉模糊集, 后悔理论, 证据理论, 多属性决策

Abstract: Under the intuitionistic fuzzy environment, considering the decision makers’ psychological behavior, a method based on the regret theory and evidence theory is proposed to cope with Multi-Attribute Decision Making （MADM） problems, where the attribute weights and probability information of situation are unknown. Firstly, the evidence theory is utilized to calculate the probability information of the states. Then, by using the obtained interval fuzzy matrices, estimation of t-distribution and score function matrices, the utility values of attribute values are determined. Moreover, by using regret theory, the decision makers’ perceived utility values are obtained. The overall perceived utility of each alternative is acquired on the basis of the weighted arithmetic mean. After that, the ranking of the alternatives is obtained. Finally, a numerical example about the selection of game is provided to illustrate the feasibility and effectiveness of the proposed approach.

Key words: intuitionistic fuzzy set, regret theory, evidence theory, multi-attribute decision making