关键词: 直觉不确定语言数, 多属性群决策, 不确定度, 距离, 熵, 偏离度, 权重

Abstract: For the Multi-Attribute Group Decision Making（MAGDM） problems, in which the weights of both attributes and experts are unknown and the evaluation values are intuitionistic uncertain linguistic variables, a fuzzy group decision making method based on the objective comprehensive weighting model is proposed. By defining the concepts of uncertainty and distance measure, the evaluation values within single expert and between experts are analyzed. Then the objective comprehensive weighting model of attributes based on maximizing deviations and entropy and the objective comprehensive weighting model of experts based on uncertainty and deviation are established respectively. Furthermore, a method based on the objective comprehensive weights for MAGDM with intuitionistic uncertain linguistic information is proposed. A case study is presented to illustrate the feasibility and practicability of the proposed method.

Key words: intuitionistic uncertain linguistic variables, multi-attribute group decision making, uncertainty, distance, entropy, deviation, weight