A Novel Regret Theory-Based Decision-Making Method Combined with the Intuitionistic Fuzzy Canberra Distance
In practical decision-making, the behavior factors of decision makers often affect the final decision-making results. Regret theory is an important behavioral decision theory. Based on the regret theory, a novel decision-making method is proposed for the multiattribute decision-making problem with i...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/8848031 |
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| _version_ | 1832550895260270592 |
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| author | Haiping Ren Yunxiao Gao Tonghua Yang |
| author_facet | Haiping Ren Yunxiao Gao Tonghua Yang |
| author_sort | Haiping Ren |
| collection | DOAJ |
| description | In practical decision-making, the behavior factors of decision makers often affect the final decision-making results. Regret theory is an important behavioral decision theory. Based on the regret theory, a novel decision-making method is proposed for the multiattribute decision-making problem with incomplete attribute weight information, and the attribute values are expressed by Atanassov intuitionistic fuzzy numbers. At first, a new distance of intuitionistic fuzzy sets is put forward based on the traditional Canberra distance. Then, we utilize it for the definition of the regret value (rejoice) for the attribute value of each alternative with the corresponding values of the positive point (negative point). The objective of this method is to maximize the comprehensive perceived utility of the alternative set by the decision maker. The optimal attribute weight vector is solved, and the optimal comprehensive perceived utility value of each alternative is obtained. Finally, according to the optimal comprehensive perceived utility value, the rank order of all alternatives is concluded. |
| format | Article |
| id | doaj-art-37d52943878442298b16e1e696e1fea6 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-37d52943878442298b16e1e696e1fea62025-02-03T06:05:28ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/88480318848031A Novel Regret Theory-Based Decision-Making Method Combined with the Intuitionistic Fuzzy Canberra DistanceHaiping Ren0Yunxiao Gao1Tonghua Yang2Teaching Department of Basic Subjects, Jiangxi University of Science and Technology, Nanchang 330013, ChinaSchool of Science, Jiangxi University of Science and Technology, Ganzhou 341000, ChinaSchool of Vocational Education and Technology, Jiangxi Agricultural University, Nanchang 330045, ChinaIn practical decision-making, the behavior factors of decision makers often affect the final decision-making results. Regret theory is an important behavioral decision theory. Based on the regret theory, a novel decision-making method is proposed for the multiattribute decision-making problem with incomplete attribute weight information, and the attribute values are expressed by Atanassov intuitionistic fuzzy numbers. At first, a new distance of intuitionistic fuzzy sets is put forward based on the traditional Canberra distance. Then, we utilize it for the definition of the regret value (rejoice) for the attribute value of each alternative with the corresponding values of the positive point (negative point). The objective of this method is to maximize the comprehensive perceived utility of the alternative set by the decision maker. The optimal attribute weight vector is solved, and the optimal comprehensive perceived utility value of each alternative is obtained. Finally, according to the optimal comprehensive perceived utility value, the rank order of all alternatives is concluded.http://dx.doi.org/10.1155/2020/8848031 |
| spellingShingle | Haiping Ren Yunxiao Gao Tonghua Yang A Novel Regret Theory-Based Decision-Making Method Combined with the Intuitionistic Fuzzy Canberra Distance Discrete Dynamics in Nature and Society |
| title | A Novel Regret Theory-Based Decision-Making Method Combined with the Intuitionistic Fuzzy Canberra Distance |
| title_full | A Novel Regret Theory-Based Decision-Making Method Combined with the Intuitionistic Fuzzy Canberra Distance |
| title_fullStr | A Novel Regret Theory-Based Decision-Making Method Combined with the Intuitionistic Fuzzy Canberra Distance |
| title_full_unstemmed | A Novel Regret Theory-Based Decision-Making Method Combined with the Intuitionistic Fuzzy Canberra Distance |
| title_short | A Novel Regret Theory-Based Decision-Making Method Combined with the Intuitionistic Fuzzy Canberra Distance |
| title_sort | novel regret theory based decision making method combined with the intuitionistic fuzzy canberra distance |
| url | http://dx.doi.org/10.1155/2020/8848031 |
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