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

摘要： 针对一类属性及专家权重完全未知且评价值为直觉不确定语言数的多属性群决策问题，提出一种基于客观综合赋权模型的模糊群决策方法。通过定义直觉不确定语言数的不确定度和距离测度，对单个专家内部以及专家群体之间的评价值进行分析，分别建立基于离差最大化和熵值的属性综合赋权模型以及基于不确定度和偏离度的专家综合赋权模型，提出一种基于客观综合权重的直觉不确定语言多属性群决策方法。通过实例分析表明了该方法的可行性和实用性。

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