Extended TOPSISs for Belief Group Decision Making

Chao Fu

School of Management, Hefei University of Technology.

DOI: 10.4236/jssm.2008.11002                

Abstract

Multiple attribute decision analysis (MADA) problems in the situation of belief group decision making (BGDM) are a special class of decision problems, where the attribute evaluations of each decision maker (DM) are represented by belief functions. In order to solve these special problems, in this paper, TOPSIS (technique for order preference by similarity to ideal solution) model is extended by three approaches, by which group preferences are aggregated in different manners. Corresponding to the three approaches, three extended TOPSIS models, the pre-model, post-model, and inter-model, are developed and their procedures are elaborated step by step. Aggregating group preferences in the three extended models respectively depends on Dempster’s rule or its modifications, some social choice functions, and some mean approaches. Furthermore, a numerical example clearly illustrates the procedures of the three extended models for BGDM.

Keywords

basic belief assignment, belief group decision making, belief preferences aggregation, TOPSIS

Conflicts of Interest

The authors declare no conflicts of interest.

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