Research on Multi-attribute and Group Decision-making Method with Unknown Weight

Yang Xie, Gongliang Li, Qingfei Cai
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Abstract

Different attributes and weights of decision-makers are the key information of multi-attribute and group decision making. Aiming at the complete unknown problem of attribute and decision-maker's weight information, this paper proposed a weight calculation method based on triangular intuitionistic fuzzy number, which established a consensus model with reference triangular intuitionistic fuzzy information by similarity degree to calculate attribute and decision-maker weight information. Aiming at the partially unknown problem of attribute and decision-maker's weight, based on the consensus model, linear programming method is used to calculate the attribute and decision-maker's weight information. Combined with the method of TODIM decision based on triangular intuitionistic fuzzy information, it can be applied to scientific decision making in modern enterprise management in many application scenarios, such as known, partially unknown and completely unknown attribute and decision-maker weight.
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未知权值的多属性群体决策方法研究
决策者的不同属性和权重是多属性群体决策的关键信息。针对属性与决策者权重信息完全未知的问题,提出了一种基于三角直觉模糊数的权重计算方法,通过相似度建立了参考三角直觉模糊信息的共识模型来计算属性与决策者权重信息。针对属性和决策者权重部分未知的问题,在共识模型的基础上,采用线性规划方法计算属性和决策者权重信息。结合基于三角直觉模糊信息的TODIM决策方法,可以在属性已知、部分未知、完全未知、决策者权重等多种应用场景下,应用于现代企业管理中的科学决策。
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