Title
TOPSIS with belief structure for group belief multiple criteria decision making
Abstract
The technique for order performance by similarity to ideal solution (TOPSIS) is one of the major techniques in dealing with multiple criteria decision making (MCDM) problems, and the belief structure (BS) model has been used successfully for uncertain MCDM with incompleteness, impreciseness or ignorance. In this paper, the TOPSIS method with BS model is proposed to solve group belief MCDM problems. Firstly, the group belief MCDM problem is structured as a belief decision matrix in which the judgments of each decision maker are described as BS models, and then the evidential reasoning approach is used for aggregating the multiple decision makers’ judgments. Subsequently, the positive and negative ideal belief solutions are defined with the principle of TOPSIS. To measure the separation from ideal solutions, the concept and algorithm of belief distance measure are defined, which can be used for comparing the difference between BS models. Finally, the relative closeness and ranking index are calculated for ranking the alternatives. A numerical example is given to illustrate the proposed method.
Year
DOI
Venue
2010
10.1007/s11633-010-0515-7
International Journal of Automation and Computing
Keywords
DocType
Volume
belief structure bs model,technique for order performance by similarity to ideal solution topsis,multiple criteria decision making (mcdm),technique for order performance by similarity to ideal solution (topsis),group decision making,belief distance measure.,belief structure (bs) model,multiple criteria decision making mcdm,decision maker,evidential reasoning,indexation
Journal
7
Issue
ISSN
Citations 
3
17518520
4
PageRank 
References 
Authors
0.50
24
4
Name
Order
Citations
PageRank
Jiang Jiang1325.60
Ying-wu Chen222716.61
Dawei Tang31566.95
Yu-Wang Chen422118.27