A New Fuzzy Multiple Attribute Decision Making Method Based on the Utility Transformation Functions
The 2-tuple linguistic information model (2TLIM) is a useful tool to avoid the loss of information, which has been widely adapted in the study of the multiple attribute decision making (MADM) problem. However, there is a limitation, the limitation is that the difference between the neighboring 2-tup...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/3/418 |
| _version_ | 1798040775052754944 |
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| author | Yuting Zuo Chunfang Chen |
| author_facet | Yuting Zuo Chunfang Chen |
| author_sort | Yuting Zuo |
| collection | DOAJ |
| description | The 2-tuple linguistic information model (2TLIM) is a useful tool to avoid the loss of information, which has been widely adapted in the study of the multiple attribute decision making (MADM) problem. However, there is a limitation, the limitation is that the difference between the neighboring 2-tuple linguistic information is fixed regardless of the decision-makers’ attitude. In this paper, we define the utility transformation functions based on the 2-tuple linguistic utility to overcome the drawback. Firstly, by introducing the economic utility theory, the 2-tuple linguistic utility is defined, the 2-tuple linguistic utility parameter (2TLUP) and the 2-tuple linguistic marginal utility (2TLMU) are constructed to achieve the measurement of the decision-makers’ attitude. The utility transformation functions are developed on the decision-makers’ attitude. Secondly, the 2-tuple linguistic operational laws are presented with the extended Hamacher T-norm (TN) and T-conorm (TC). Subsequently, we propose the 2-tuple linguistic utility weighted average (2TLUWA) operator and the method of MADM. Lastly, the application and the comparison with the existing methods are summarized to verify the practicality and advantages of the proposed method of MADM. |
| first_indexed | 2024-04-11T22:12:16Z |
| format | Article |
| id | doaj.art-f70d9262bbcd4ee88a4b3d9a09f6c116 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T22:12:16Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-f70d9262bbcd4ee88a4b3d9a09f6c1162022-12-22T04:00:32ZengMDPI AGSymmetry2073-89942019-03-0111341810.3390/sym11030418sym11030418A New Fuzzy Multiple Attribute Decision Making Method Based on the Utility Transformation FunctionsYuting Zuo0Chunfang Chen1Department of Mathematics, Nanchang University, Nanchang 330031, ChinaDepartment of Mathematics, Nanchang University, Nanchang 330031, ChinaThe 2-tuple linguistic information model (2TLIM) is a useful tool to avoid the loss of information, which has been widely adapted in the study of the multiple attribute decision making (MADM) problem. However, there is a limitation, the limitation is that the difference between the neighboring 2-tuple linguistic information is fixed regardless of the decision-makers’ attitude. In this paper, we define the utility transformation functions based on the 2-tuple linguistic utility to overcome the drawback. Firstly, by introducing the economic utility theory, the 2-tuple linguistic utility is defined, the 2-tuple linguistic utility parameter (2TLUP) and the 2-tuple linguistic marginal utility (2TLMU) are constructed to achieve the measurement of the decision-makers’ attitude. The utility transformation functions are developed on the decision-makers’ attitude. Secondly, the 2-tuple linguistic operational laws are presented with the extended Hamacher T-norm (TN) and T-conorm (TC). Subsequently, we propose the 2-tuple linguistic utility weighted average (2TLUWA) operator and the method of MADM. Lastly, the application and the comparison with the existing methods are summarized to verify the practicality and advantages of the proposed method of MADM.https://www.mdpi.com/2073-8994/11/3/418the 2-tuple linguistic utilitythe 2-tuple linguistic utility parameter (2TLUP)2-tuple linguistic marginal utility (2TLMU)2-tuple utility transformation functionsthe multiple attribute decision making method |
| spellingShingle | Yuting Zuo Chunfang Chen A New Fuzzy Multiple Attribute Decision Making Method Based on the Utility Transformation Functions Symmetry the 2-tuple linguistic utility the 2-tuple linguistic utility parameter (2TLUP) 2-tuple linguistic marginal utility (2TLMU) 2-tuple utility transformation functions the multiple attribute decision making method |
| title | A New Fuzzy Multiple Attribute Decision Making Method Based on the Utility Transformation Functions |
| title_full | A New Fuzzy Multiple Attribute Decision Making Method Based on the Utility Transformation Functions |
| title_fullStr | A New Fuzzy Multiple Attribute Decision Making Method Based on the Utility Transformation Functions |
| title_full_unstemmed | A New Fuzzy Multiple Attribute Decision Making Method Based on the Utility Transformation Functions |
| title_short | A New Fuzzy Multiple Attribute Decision Making Method Based on the Utility Transformation Functions |
| title_sort | new fuzzy multiple attribute decision making method based on the utility transformation functions |
| topic | the 2-tuple linguistic utility the 2-tuple linguistic utility parameter (2TLUP) 2-tuple linguistic marginal utility (2TLMU) 2-tuple utility transformation functions the multiple attribute decision making method |
| url | https://www.mdpi.com/2073-8994/11/3/418 |
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