Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making
We introduce a method based on distance measures for group decision making under uncertain linguistic environment. We develop some uncertain linguistic aggregation distance measures called the uncertain linguistic weighted distance (ULWD) measure, the uncertain linguistic ordered weighted distance (...
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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/10.1155/2013/563650 |
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| _version_ | 1832562776861573120 |
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| author | Wei Li Shouzhen Zeng |
| author_facet | Wei Li Shouzhen Zeng |
| author_sort | Wei Li |
| collection | DOAJ |
| description | We introduce a method based on distance measures for group decision making under uncertain linguistic environment. We develop some uncertain linguistic aggregation distance measures called the uncertain linguistic weighted distance (ULWD) measure, the uncertain linguistic ordered weighted distance (ULOWD) measure, and the uncertain linguistic hybrid weighted distance (ULHWD) measure. We study some of their characteristic, and we prove that the ULWD and the ULOWD are special cases of the ULHWD measure. Finally, we develop an application of the ULHWD measure in a group decision making problem concerning the evaluation of university faculty for tenure and promotion with uncertain linguistic information. |
| format | Article |
| id | doaj-art-eaa134d6b50341e6a5402965fe032502 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-eaa134d6b50341e6a5402965fe0325022025-02-03T01:21:48ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/563650563650Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision MakingWei Li0Shouzhen Zeng1College of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou 310018, ChinaCollege of Computer and Information, Zhejiang Wanli University, Ningbo 315100, ChinaWe introduce a method based on distance measures for group decision making under uncertain linguistic environment. We develop some uncertain linguistic aggregation distance measures called the uncertain linguistic weighted distance (ULWD) measure, the uncertain linguistic ordered weighted distance (ULOWD) measure, and the uncertain linguistic hybrid weighted distance (ULHWD) measure. We study some of their characteristic, and we prove that the ULWD and the ULOWD are special cases of the ULHWD measure. Finally, we develop an application of the ULHWD measure in a group decision making problem concerning the evaluation of university faculty for tenure and promotion with uncertain linguistic information.http://dx.doi.org/10.1155/2013/563650 |
| spellingShingle | Wei Li Shouzhen Zeng Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making Journal of Applied Mathematics |
| title | Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making |
| title_full | Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making |
| title_fullStr | Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making |
| title_full_unstemmed | Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making |
| title_short | Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making |
| title_sort | uncertain linguistic aggregation distance measures and their application to group decision making |
| url | http://dx.doi.org/10.1155/2013/563650 |
| work_keys_str_mv | AT weili uncertainlinguisticaggregationdistancemeasuresandtheirapplicationtogroupdecisionmaking AT shouzhenzeng uncertainlinguisticaggregationdistancemeasuresandtheirapplicationtogroupdecisionmaking |