A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory

作者：Pan, Dongbo; Lu, Xi; Liu, Juan; Deng, Yong^*

来源：The Scientific World Journal, 2014, 2014: 904596.

DOI：10.1155/2014/904596

• ANALYTIC HIERARCHY PROCESS
• FUZZY PREFERENCE-RELATION
• GROUP DECISION-MAKING
• PRIORITY
• FUSION

Decision-making, as a way to discover the preference of ranking, has been used in various fields. However, owing to the uncertainty in group decision-making, how to rank alternatives by incomplete pairwise comparisons has become an open issue. In this paper, an improved method is proposed for ranking of alternatives by incomplete pairwise comparisons using Dempster-Shafer evidence theory and information entropy. Firstly, taking the probability assignment of the chosen preference into consideration, the comparison of alternatives to each group is addressed. Experiments verified that the information entropy of the data itself can determine the different weight of each group's choices objectively. Numerical examples in group decision-making environments are used to test the effectiveness of the proposed method. Moreover, the divergence of ranking mechanism is analyzed briefly in conclusion section.

• 出版日期2014
• 单位西南大学