Refined Expected Value Decision Rules under Orthopair Fuzzy Environment
Refined expected value decision rules can refine the calculation of the expected value and make decisions by estimating the expected values of different alternatives, which use many theories, such as Choquet integral, PM function, measure and so on. However, the refined expected value decision rules...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/3/442 |
| _version_ | 1818018636454952960 |
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| author | Yige Xue Yong Deng |
| author_facet | Yige Xue Yong Deng |
| author_sort | Yige Xue |
| collection | DOAJ |
| description | Refined expected value decision rules can refine the calculation of the expected value and make decisions by estimating the expected values of different alternatives, which use many theories, such as Choquet integral, PM function, measure and so on. However, the refined expected value decision rules have not been applied to the orthopair fuzzy environment yet. To address this issue, in this paper we propose the refined expected value decision rules under the orthopair fuzzy environment, which can apply the refined expected value decision rules on the issues of decision making that is described in the orthopair fuzzy environment. Numerical examples were applied to verify the availability and flexibility of the new refined expected value decision rules model. The experimental results demonstrate that the proposed model can apply refined expected value decision rules in the orthopair fuzzy environment and solve the decision making issues with the orthopair fuzzy environment successfully. |
| first_indexed | 2024-04-14T07:42:11Z |
| format | Article |
| id | doaj.art-62179e8c6ab24caeac388766572e00ec |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-14T07:42:11Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-62179e8c6ab24caeac388766572e00ec2022-12-22T02:05:27ZengMDPI AGMathematics2227-73902020-03-018344210.3390/math8030442math8030442Refined Expected Value Decision Rules under Orthopair Fuzzy EnvironmentYige Xue0Yong Deng1Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610054, ChinaInstitute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610054, ChinaRefined expected value decision rules can refine the calculation of the expected value and make decisions by estimating the expected values of different alternatives, which use many theories, such as Choquet integral, PM function, measure and so on. However, the refined expected value decision rules have not been applied to the orthopair fuzzy environment yet. To address this issue, in this paper we propose the refined expected value decision rules under the orthopair fuzzy environment, which can apply the refined expected value decision rules on the issues of decision making that is described in the orthopair fuzzy environment. Numerical examples were applied to verify the availability and flexibility of the new refined expected value decision rules model. The experimental results demonstrate that the proposed model can apply refined expected value decision rules in the orthopair fuzzy environment and solve the decision making issues with the orthopair fuzzy environment successfully.https://www.mdpi.com/2227-7390/8/3/442refined expected valueorthopair fuzzy environmentdecision rules |
| spellingShingle | Yige Xue Yong Deng Refined Expected Value Decision Rules under Orthopair Fuzzy Environment Mathematics refined expected value orthopair fuzzy environment decision rules |
| title | Refined Expected Value Decision Rules under Orthopair Fuzzy Environment |
| title_full | Refined Expected Value Decision Rules under Orthopair Fuzzy Environment |
| title_fullStr | Refined Expected Value Decision Rules under Orthopair Fuzzy Environment |
| title_full_unstemmed | Refined Expected Value Decision Rules under Orthopair Fuzzy Environment |
| title_short | Refined Expected Value Decision Rules under Orthopair Fuzzy Environment |
| title_sort | refined expected value decision rules under orthopair fuzzy environment |
| topic | refined expected value orthopair fuzzy environment decision rules |
| url | https://www.mdpi.com/2227-7390/8/3/442 |
| work_keys_str_mv | AT yigexue refinedexpectedvaluedecisionrulesunderorthopairfuzzyenvironment AT yongdeng refinedexpectedvaluedecisionrulesunderorthopairfuzzyenvironment |