Extended TOPSISs for Belief Group Decision Making
Chao Fu
School of Management, Hefei University of Technology.
DOI: 10.4236/jssm.2008.11002   PDF    HTML     7,213 Downloads   12,570 Views   Citations


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.

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C. Fu, "Extended TOPSISs for Belief Group Decision Making," Journal of Service Science and Management, Vol. 1 No. 1, 2008, pp. 11-20. doi: 10.4236/jssm.2008.11002.

Conflicts of Interest

The authors declare no conflicts of interest.


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