Title | ||
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TOPSIS with fuzzy belief structure for group belief multiple criteria decision making |
Abstract | ||
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TOPSIS is one of the major techniques in dealing with multiple criteria decision making (MCDM) problems, and Belief Structure (BS) model and Fuzzy BS model have been used successfully for uncertain MCDM with incompleteness, impreciseness or ignorance. In this paper, the TOPSIS method with Fuzzy BS model is proposed to solve Group Belief MCDM problems. Firstly, the Group Belief MCDM problem is structured as a fuzzy belief decision matrix in which the judgments of each decision maker are described as Fuzzy 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. In order to measure the separation from the ideal belief solutions, the concept and algorithm of Belief Distance Measure are introduced to compare the difference between Fuzzy BS models. Using the Belief Distance Measure, the relative closeness and ranking index can be calculated for ranking the alternatives. A numerical example is finally given to illustrate the proposed method. |
Year | DOI | Venue |
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2011 | 10.1016/j.eswa.2011.01.128 | Expert Syst. Appl. |
Keywords | Field | DocType |
belief structure,group decision making,group belief mcdm problem,group belief multiple criteria decision making,belief distance measure,multiple criteria decision,fuzzy bs model,fuzzy belief structure (bs) model,uncertain mcdm,decision maker,fuzzy belief decision matrix,fuzzy belief structure,group belief multiple criterion,topsis,multiple decision maker,topsis method,indexation,evidential reasoning | Data mining,Multiple-criteria decision analysis,Decision matrix,Ranking,Computer science,Fuzzy logic,Belief structure,Artificial intelligence,TOPSIS,Evidential reasoning approach,Machine learning,Group decision-making | Journal |
Volume | Issue | ISSN |
38 | 8 | Expert Systems With Applications |
Citations | PageRank | References |
13 | 0.60 | 26 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jiang Jiang | 1 | 32 | 5.60 |
Yu-Wang Chen | 2 | 221 | 18.27 |
Ying-wu Chen | 3 | 227 | 16.61 |
Ke-wei Yang | 4 | 193 | 22.65 |