A Large Group Decision-Making Method Based on Fuzzy Preference Relation

Shenghai Zhou, Xuanhua Xu, Yanju Zhou and Xiaohong Chen
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Shenghai Zhou: Antai College of Economics & Management, Shanghai Jiao Tong University, Shanghai 200030, P. R. China
Xuanhua Xu: School of Business, Central South University, Changsha, Hunan 410083, P. R. China
Yanju Zhou: School of Business, Central South University, Changsha, Hunan 410083, P. R. China
Xiaohong Chen: School of Business, Central South University, Changsha, Hunan 410083, P. R. China

International Journal of Information Technology & Decision Making (IJITDM), 2017, vol. 16, issue 03, 881-897

Abstract: Aiming at the large group decision-making problem in which every decision maker compares pairwise alternatives with fuzzy preference relations, this paper proposes a fuzzy preference relation decision-making method of large group based on conflicts. Firstly, priority should be given to the preference difference under complex large group environment, so we define the conflict degree of two fuzzy preference relations, which contributes to cluster analysis on preferences of the decision maker and thus forms several different clusters. Based on this, we simulate and analyze the threshold of conflict degree. Then we develop the entropy weight method to get the relevant weight of each cluster, and use the weight to aggregate the cluster preferences in order to attain the large group preference based on fuzzy preference relation. Next, an iteration algorithm is introduced to find a solution which could acquire the group alternatives fuzzy preference relation of a certain conflict level and obtain the ranking result of alternatives. Finally, a case analysis is given to illustrate the effectiveness of the method proposed.

Keywords: Conflict; fuzzy preference relations; entropy weight method; large group decision-making method (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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DOI: 10.1142/S021962201550039X

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