A new method to rank fuzzy numbers using Dempster–Shafer theory with fuzzy targets
In this paper, an extended ranking method for fuzzy numbers, which is a synthesis of fuzzy targets and the Dempster–Shafer Theory (DST) of evidence, is devised. The use of fuzzy targets to reflect human viewpoints in fuzzy ranking is not new. However, different fuzzy targets can lead to contradictor...
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| Format: | Article |
| Language: | English |
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Elsevier Inc.
2016
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| Online Access: | http://ir.unimas.my/id/eprint/11450/ http://ir.unimas.my/id/eprint/11450/1/A%20new%20method%20to%20rank%20fuzzy%20numbers%20using%20Dempster%E2%80%93Shafer%20theory%20with%20fuzzy%20targets%20%28abstract%29.pdf |
| _version_ | 1848837012823474176 |
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| author | Chai, Kok Chin Tay, K.M Lim, Chee Peng |
| author_facet | Chai, Kok Chin Tay, K.M Lim, Chee Peng |
| author_sort | Chai, Kok Chin |
| building | UNIMAS Institutional Repository |
| collection | Online Access |
| description | In this paper, an extended ranking method for fuzzy numbers, which is a synthesis of fuzzy targets and the Dempster–Shafer Theory (DST) of evidence, is devised. The use of fuzzy targets to reflect human viewpoints in fuzzy ranking is not new. However, different fuzzy targets can lead to contradictory fuzzy ranking results; making it difficult to reach a final decision. In this paper, the results from different viewpoints are treated as different sources of evidence, and Murphy’s combination rule is used to aggregate the fuzzy rank- ing results. DST allows fuzzy numbers to be compared and ranked while preserving their uncertain and imprecise characteristics. In addition, a hybrid method consisting of fuzzy targets and DST with the Transferable Belief Model is formulated, which fulfils a number of important ordering properties. A series of empirical experiments with benchmark ex- amples has been conducted and the experimental results clearly indicate the usefulness of the proposed method. |
| first_indexed | 2025-11-15T06:32:54Z |
| format | Article |
| id | unimas-11450 |
| institution | Universiti Malaysia Sarawak |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T06:32:54Z |
| publishDate | 2016 |
| publisher | Elsevier Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | unimas-114502016-10-21T01:12:22Z http://ir.unimas.my/id/eprint/11450/ A new method to rank fuzzy numbers using Dempster–Shafer theory with fuzzy targets Chai, Kok Chin Tay, K.M Lim, Chee Peng Q Science (General) QA75 Electronic computers. Computer science In this paper, an extended ranking method for fuzzy numbers, which is a synthesis of fuzzy targets and the Dempster–Shafer Theory (DST) of evidence, is devised. The use of fuzzy targets to reflect human viewpoints in fuzzy ranking is not new. However, different fuzzy targets can lead to contradictory fuzzy ranking results; making it difficult to reach a final decision. In this paper, the results from different viewpoints are treated as different sources of evidence, and Murphy’s combination rule is used to aggregate the fuzzy rank- ing results. DST allows fuzzy numbers to be compared and ranked while preserving their uncertain and imprecise characteristics. In addition, a hybrid method consisting of fuzzy targets and DST with the Transferable Belief Model is formulated, which fulfils a number of important ordering properties. A series of empirical experiments with benchmark ex- amples has been conducted and the experimental results clearly indicate the usefulness of the proposed method. Elsevier Inc. 2016 Article PeerReviewed text en http://ir.unimas.my/id/eprint/11450/1/A%20new%20method%20to%20rank%20fuzzy%20numbers%20using%20Dempster%E2%80%93Shafer%20theory%20with%20fuzzy%20targets%20%28abstract%29.pdf Chai, Kok Chin and Tay, K.M and Lim, Chee Peng (2016) A new method to rank fuzzy numbers using Dempster–Shafer theory with fuzzy targets. Information Sciences, 346. pp. 302-317. ISSN 0020-0255 https://www.scopus.com/inward/record.url?eid=2-s2.0-84959133819&partnerID=40&md5=1671cee9c1e8d5b8ed580247730fae2d doi:10.1016/j.ins.2016.01.066 |
| spellingShingle | Q Science (General) QA75 Electronic computers. Computer science Chai, Kok Chin Tay, K.M Lim, Chee Peng A new method to rank fuzzy numbers using Dempster–Shafer theory with fuzzy targets |
| title | A new method to rank fuzzy numbers using Dempster–Shafer theory with fuzzy targets |
| title_full | A new method to rank fuzzy numbers using Dempster–Shafer theory with fuzzy targets |
| title_fullStr | A new method to rank fuzzy numbers using Dempster–Shafer theory with fuzzy targets |
| title_full_unstemmed | A new method to rank fuzzy numbers using Dempster–Shafer theory with fuzzy targets |
| title_short | A new method to rank fuzzy numbers using Dempster–Shafer theory with fuzzy targets |
| title_sort | new method to rank fuzzy numbers using dempster–shafer theory with fuzzy targets |
| topic | Q Science (General) QA75 Electronic computers. Computer science |
| url | http://ir.unimas.my/id/eprint/11450/ http://ir.unimas.my/id/eprint/11450/ http://ir.unimas.my/id/eprint/11450/ http://ir.unimas.my/id/eprint/11450/1/A%20new%20method%20to%20rank%20fuzzy%20numbers%20using%20Dempster%E2%80%93Shafer%20theory%20with%20fuzzy%20targets%20%28abstract%29.pdf |