基于一致性度量的概率模糊语言多属性群决策方法

doi:10.16381/j.cnki.issn1003-207x.2020.04.020

摘要/Abstract

摘要： 人们通常习惯用语言术语来表达他们的偏好，因此概率型语言术语集（Probabilistic Linguistic Term Set，PLTS）在决策过程中有着十分重要的作用。目前PLTS的研究刚刚起步，有关PLTS的相关研究没有关注到一致性度量的问题，对于PLTS的多属性群决策方法有待进一步研究。首先，给出了一种新的PLTS的集结方法，并且在已有的PLTS可能度公式的基础上，构建了PLTS的相似度量方法，在此基础上，进一步提出了基于PLTS一致性度量的多属性群决策方法。该方法在各决策者权重未知的情况下，考虑到各决策者之间的一致性。首先，定义PLTS的一致性度量公式，确定决策者权重；并根据PLTS的集结方法，集结各决策者的评价信息；最后，利用可能度公式对PLTS进行排序。通过案例分析验证了该方法的可行性和优越性。

关键词: 多属性群决策, 概率型语言术语集, 集结方法, 相似度, 一致性度量

Abstract: In the decision-making process, linguistic terms can express the preferences of decision makers.The probabilistic linguistic term sets (PLTS) can be not only given directly by experts, but also given by the evaluation information of different groups' decision-makers in a large group.so PLTS has a very important role in the decision-making process. However,there are few methods for PLTS multi-attribute group decision making in the exiting researches. The aggregation process and consistent measurement are important factors in group decision making.At present, the research of PLTS has just started. The related research on PLTS does not pay attention to the problem of consistency measurement. The existing aggregation methods are less applicable to PLTS multi-attribute group decision making,and the aggregation methods are not only computatively more complex, but also the aggregation results are unreasonable. The multi-attribute group decision-making method of PLTS needs further study. Therefore, the purpose of this paper is to propose a new consistency measure and aggregation method based on the existing research, and to establish a PLTS multi-attribute group decision method which considers the consensus measure method. Its main feature is that decision makers' weights are unknown,we consider the consistency of decision maker to make decisions. Firstly, decision makers' weights are determined by defining a consensus measure of PLTS, and proposed a aggregation to aggregate the evaluation information of each decision maker. Finally, ranking PLTS by the degree of possibility formula. In addition, in order to clarify the effectiveness and advantages of the method in this paper, the comparison between the method in this paper and the existing method shows that the proposed method avoids a large number of operations and the final ordering which contains probability information can illustrate the decision result more clearly. What's more,the proposed method could beused for reference to the aggregation of probabilistic language evaluation information, and can provide an effective tool for multi-attribute group decision making problems with unknown weights of decision-makers.

Key words: multi-attribute decision-making, probabilistic linguistic term set, aggregation method, degree of similarity, consensus measurement

中图分类号:

C934

任嵘嵘, 孟一鸣, 李晓奇, 赵萌. 基于一致性度量的概率模糊语言多属性群决策方法[J]. 中国管理科学, 2020, 28(4): 220-230.

REN Rong-rong, MENG Yi-ming, LI Xiao-qi, ZHAO Meng. Consensus Measure Method for Probabilistic Linguistic Information in Multi-attribute Group Decision Making[J]. Chinese Journal of Management Science, 2020, 28(4): 220-230.

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