title: A ranking procedure by incomplete pairwise comparisons using information entropy and Dempster-Shafer evidence theory.
abstract: 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.
authors.affiliation: Faculty of Computer and Information Science, Southwest University, Chongqing 400715, China.
authors.forename: Dongbo
authors.initials: D
authors.lastname: Pan
authors.affiliation: Faculty of Computer and Information Science, Southwest University, Chongqing 400715, China.
authors.forename: Xi
authors.initials: X
authors.lastname: Lu
authors.affiliation: Faculty of Computer and Information Science, Southwest University, Chongqing 400715, China.
authors.forename: Juan
authors.initials: J
authors.lastname: Liu
authors.affiliation: Faculty of Computer and Information Science, Southwest University, Chongqing 400715, China.
authors.forename: Yong
authors.initials: Y
authors.lastname: Deng
mesh_terms: D003657:Decision Making; D019277:Entropy; D017143:Fuzzy Logic