A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory
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 rankin...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/904596 |
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| author | Dongbo Pan Xi Lu Juan Liu Yong Deng |
| author_facet | Dongbo Pan Xi Lu Juan Liu Yong Deng |
| author_sort | Dongbo Pan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-9469da9049aa4b559e23271beef45591 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-9469da9049aa4b559e23271beef455912025-02-03T07:25:41ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/904596904596A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence TheoryDongbo Pan0Xi Lu1Juan Liu2Yong Deng3Faculty of Computer and Information Science, Southwest University, Chongqing 400715, ChinaFaculty of Computer and Information Science, Southwest University, Chongqing 400715, ChinaFaculty of Computer and Information Science, Southwest University, Chongqing 400715, ChinaFaculty of Computer and Information Science, Southwest University, Chongqing 400715, ChinaDecision-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.http://dx.doi.org/10.1155/2014/904596 |
| spellingShingle | Dongbo Pan Xi Lu Juan Liu Yong Deng A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory The Scientific World Journal |
| title | A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory |
| title_full | A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory |
| title_fullStr | A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory |
| title_full_unstemmed | A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory |
| title_short | A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory |
| title_sort | ranking procedure by incomplete pairwise comparisons using information entropy and dempster shafer evidence theory |
| url | http://dx.doi.org/10.1155/2014/904596 |
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