基于多目标属性权重优化的犹豫模糊语言TOPSIS决策方法

犹豫模糊语言术语集作为一种有效的信息表达形式,能够很好的反映出人们的定性且犹豫的决策信息。传统的距离测度会导致犹豫模糊语言信息的流失,因此,本文首先提出了一种新的犹豫模糊语言距离测度,并研究了该距离测度的性质。其次,针对属性权重完全未知的犹豫模糊语言多属性决策问题,考虑方案和属性两个层面,构建了多目标优化的属性权重确定模型。进而,基于多目标权重优化模型和犹豫模糊语言距离测度,提出了一种改进的犹豫模糊语言TOPSIS法。最后通过实例说明了所提出的TOPSIS法的实用性和有效性,并进行了灵敏度和比较分析。

Hesitant Fuzzy Linguistic TOPSIS Decision Making Method Based on Multi-objective Attribute Weight Optimization

Hesitant fuzzy linguistic term set (HFLTS)as an useful information expression form can well reflect qualitative and hesitant decision-making information of people. Traditional distance measures may cause loss of information of hesitant fuzzy linguistic. Therefore, this paper first proposes a new distance measure between HFLTSs and discusses some relevant properties. Then, for hesitant fuzzy linguistic multi-attribute decision-making with unknow attribute weights, aiming at the two aspects of alternative and attribute, the multi-objective optimization attribute weight determination model is proposed to obtain the weights of attributes. Furthermore, an improved TOPSIS method is developed based on the multi-objective weight optimization model and the new distance measure. In the end, a practical example is provided to verify the practicability and effectiveness of the proposed method, sensitive and comparative analysis are provided as well.