Method of Large Group Decision Making Based on Fuzzy Preference Relation of Group Conflict

Abstract

Abstract: In large group decision making, aiming at the question that every decision maker hac an alternative to fuzzy preference relation, this paper proposes a method of large group decision making based on fuzzy preference relation of group conflict. With that, the preference difference under complex large group environment should be taken into consideration, which contributes to cluster analysis on preferences of decision maker, and several different clusters are formed. Then we develop the entropy weight method to get the relevant weight of each cluster, use the weight to aggregate the cluster preferences and get the Large group preference based on fuzzy preference relation. An iteration introduced to make conflict resolution, of which we can acquire the group alternatives fuzzy preference relation of a certain conflict level. Finally,a numerical example is given to illustrate the effectiveness of the method proposed.

Key words: group conflict, fuzzy preference relations, clustering, entropy weight method, large group decision making

摘要： 在大群体决策中,针对每一个决策者都有一个关于决策方案的模糊偏好关系的决策问题,提出了一种基于冲突的模糊偏好关系大群体决策方法。该方法首先考虑了复杂大群体的偏好差异,对决策者偏好进行聚类分析,形成不同的聚集,然后通过熵权法确定聚集的权重,集结成大群体模糊偏好关系,再对聚集内及聚集间进行冲突分析,通过一个迭代算子进行冲突消解,以达到一定冲突范围内的群体模糊偏好关系。最后通过一个算例说明了方法的有效性。

关键词: 群体冲突, 模糊偏好关系, 聚类, 熵权法, 大群体决策

CLC Number:

TP311.52

XU Xuan-hua, ZHOU Sheng-hai, ZHOU Yan-ju, CHEN Xiao-hong. Method of Large Group Decision Making Based on Fuzzy Preference Relation of Group Conflict[J]. Operations Research and Management Science, 2014, 23(3): 91-96.

徐选华, 周声海, 周艳菊, 陈晓红. 基于群体冲突的模糊偏好关系大群体决策方法[J]. 运筹与管理, 2014, 23(3): 91-96.

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