Fuzzy Linguistic Induced Ordered Weighted Averaging Operator and Its Application
With respect to multiple attribute group decision making (MAGDM) problems, in which the attribute weights take the form of real numbers, and the attribute values take the form of fuzzy linguistic scale variables, a decision analysis approach is proposed. In this paper, we develop a new fuzzy linguis...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/210392 |
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| _version_ | 1849307912762032128 |
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| author | Sidong Xian |
| author_facet | Sidong Xian |
| author_sort | Sidong Xian |
| collection | DOAJ |
| description | With respect to multiple attribute group decision making (MAGDM) problems, in which the attribute weights take the form of real numbers, and the attribute values take the form of fuzzy linguistic scale variables, a decision analysis approach is proposed. In this paper, we develop a new fuzzy linguistic induce OWA (FLIOWA) operator and analyze the properties of it by utilizing some operational laws of fuzzy linguistic scale variables. A method based on the FLIOWA operators for multiple attribute group decision making is presented. Finally, a numerical example is used to illustrate the applicability and effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-1d71e518f3d04f468240fa00486ef925 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1d71e518f3d04f468240fa00486ef9252025-08-20T03:54:37ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/210392210392Fuzzy Linguistic Induced Ordered Weighted Averaging Operator and Its ApplicationSidong Xian0College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaWith respect to multiple attribute group decision making (MAGDM) problems, in which the attribute weights take the form of real numbers, and the attribute values take the form of fuzzy linguistic scale variables, a decision analysis approach is proposed. In this paper, we develop a new fuzzy linguistic induce OWA (FLIOWA) operator and analyze the properties of it by utilizing some operational laws of fuzzy linguistic scale variables. A method based on the FLIOWA operators for multiple attribute group decision making is presented. Finally, a numerical example is used to illustrate the applicability and effectiveness of the proposed method.http://dx.doi.org/10.1155/2012/210392 |
| spellingShingle | Sidong Xian Fuzzy Linguistic Induced Ordered Weighted Averaging Operator and Its Application Journal of Applied Mathematics |
| title | Fuzzy Linguistic Induced Ordered Weighted Averaging Operator and Its Application |
| title_full | Fuzzy Linguistic Induced Ordered Weighted Averaging Operator and Its Application |
| title_fullStr | Fuzzy Linguistic Induced Ordered Weighted Averaging Operator and Its Application |
| title_full_unstemmed | Fuzzy Linguistic Induced Ordered Weighted Averaging Operator and Its Application |
| title_short | Fuzzy Linguistic Induced Ordered Weighted Averaging Operator and Its Application |
| title_sort | fuzzy linguistic induced ordered weighted averaging operator and its application |
| url | http://dx.doi.org/10.1155/2012/210392 |
| work_keys_str_mv | AT sidongxian fuzzylinguisticinducedorderedweightedaveragingoperatoranditsapplication |