A Fuzzy Multicriteria Group Decision-Making Method with New Entropy of Interval-Valued Intuitionistic Fuzzy Sets
A new entropy measure of interval-valued intuitionistic fuzzy set (IVIFS) is proposed by using cotangent function, which overcomes several limitations in the existing methods for calculating entropy of IVIFS. The efficiency of the new entropy is demonstrated by comparing it with several classical en...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/827268 |
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| _version_ | 1850177943760797696 |
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| author | Xiaohong Chen Li Yang Pei Wang Wei Yue |
| author_facet | Xiaohong Chen Li Yang Pei Wang Wei Yue |
| author_sort | Xiaohong Chen |
| collection | DOAJ |
| description | A new entropy measure of interval-valued intuitionistic fuzzy set (IVIFS) is proposed by using cotangent function, which overcomes several limitations in the existing methods for calculating entropy of IVIFS. The efficiency of the new entropy is demonstrated by comparing it with several classical entropies. Moreover, an entropy weight model is established to determine the entropy weights for fuzzy multicriteria group decision-making (FMCGDMs) problems, which depends on incomplete weight information of criteria in IVIFSs setting. Finally, an illustrative supplier selection problem is used to demonstrate the practicality and effectiveness of the proposed method. It is capable of the handling the FMCGDM problems with incomplete known weights for criteria. |
| format | Article |
| id | doaj-art-bc99b391222a400c98daa6cd8a6f2c16 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-bc99b391222a400c98daa6cd8a6f2c162025-08-20T02:18:51ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/827268827268A Fuzzy Multicriteria Group Decision-Making Method with New Entropy of Interval-Valued Intuitionistic Fuzzy SetsXiaohong Chen0Li Yang1Pei Wang2Wei Yue3Business School, Central South University, Changsha 410083, ChinaBusiness School, Central South University, Changsha 410083, ChinaBusiness School, Central South University, Changsha 410083, ChinaBusiness School, Central South University, Changsha 410083, ChinaA new entropy measure of interval-valued intuitionistic fuzzy set (IVIFS) is proposed by using cotangent function, which overcomes several limitations in the existing methods for calculating entropy of IVIFS. The efficiency of the new entropy is demonstrated by comparing it with several classical entropies. Moreover, an entropy weight model is established to determine the entropy weights for fuzzy multicriteria group decision-making (FMCGDMs) problems, which depends on incomplete weight information of criteria in IVIFSs setting. Finally, an illustrative supplier selection problem is used to demonstrate the practicality and effectiveness of the proposed method. It is capable of the handling the FMCGDM problems with incomplete known weights for criteria.http://dx.doi.org/10.1155/2013/827268 |
| spellingShingle | Xiaohong Chen Li Yang Pei Wang Wei Yue A Fuzzy Multicriteria Group Decision-Making Method with New Entropy of Interval-Valued Intuitionistic Fuzzy Sets Journal of Applied Mathematics |
| title | A Fuzzy Multicriteria Group Decision-Making Method with New Entropy of Interval-Valued Intuitionistic Fuzzy Sets |
| title_full | A Fuzzy Multicriteria Group Decision-Making Method with New Entropy of Interval-Valued Intuitionistic Fuzzy Sets |
| title_fullStr | A Fuzzy Multicriteria Group Decision-Making Method with New Entropy of Interval-Valued Intuitionistic Fuzzy Sets |
| title_full_unstemmed | A Fuzzy Multicriteria Group Decision-Making Method with New Entropy of Interval-Valued Intuitionistic Fuzzy Sets |
| title_short | A Fuzzy Multicriteria Group Decision-Making Method with New Entropy of Interval-Valued Intuitionistic Fuzzy Sets |
| title_sort | fuzzy multicriteria group decision making method with new entropy of interval valued intuitionistic fuzzy sets |
| url | http://dx.doi.org/10.1155/2013/827268 |
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