Picture fuzzy Additive Ratio Assessment Method (ARAS) and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for multi-attribute decision problem and their application
Abstract The purpose of this paper is to study the multi-attribute decision-making problem under the fuzzy picture environment. First, a method to compare the pros and cons of picture fuzzy numbers (PFNs) is introduced in this paper. Second, the correlation coefficient and standard deviation (CCSD)...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2023-03-01
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| Series: | Complex & Intelligent Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s40747-023-01007-5 |
| _version_ | 1797674957140918272 |
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| author | Jianping Fan Dongshuai Han Meiqin Wu |
| author_facet | Jianping Fan Dongshuai Han Meiqin Wu |
| author_sort | Jianping Fan |
| collection | DOAJ |
| description | Abstract The purpose of this paper is to study the multi-attribute decision-making problem under the fuzzy picture environment. First, a method to compare the pros and cons of picture fuzzy numbers (PFNs) is introduced in this paper. Second, the correlation coefficient and standard deviation (CCSD) method is used to determine the attribute weight information under the picture fuzzy environment regardless of whether the attribute weight information is partially unknown or completely unknown. Third, the ARAS and VIKOR methods are extended to the picture fuzzy environment, and the proposed PFNs comparison rules are also applied in the PFS-ARAS and PFS-VIKOR methods. Fourth, the problem of green supplier selection in a picture-ambiguous environment is solved by the method proposed in this paper. Finally, the method proposed in this paper is compared with some methods and the results are analyzed. |
| first_indexed | 2024-03-11T22:07:42Z |
| format | Article |
| id | doaj.art-314d758ab2874674a6e63c1568f9c2be |
| institution | Directory Open Access Journal |
| issn | 2199-4536 2198-6053 |
| language | English |
| last_indexed | 2024-03-11T22:07:42Z |
| publishDate | 2023-03-01 |
| publisher | Springer |
| record_format | Article |
| series | Complex & Intelligent Systems |
| spelling | doaj.art-314d758ab2874674a6e63c1568f9c2be2023-09-24T11:35:37ZengSpringerComplex & Intelligent Systems2199-45362198-60532023-03-01955345535710.1007/s40747-023-01007-5Picture fuzzy Additive Ratio Assessment Method (ARAS) and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for multi-attribute decision problem and their applicationJianping Fan0Dongshuai Han1Meiqin Wu2School of Economics and Management, Shanxi UniversitySchool of Economics and Management, Shanxi UniversitySchool of Economics and Management, Shanxi UniversityAbstract The purpose of this paper is to study the multi-attribute decision-making problem under the fuzzy picture environment. First, a method to compare the pros and cons of picture fuzzy numbers (PFNs) is introduced in this paper. Second, the correlation coefficient and standard deviation (CCSD) method is used to determine the attribute weight information under the picture fuzzy environment regardless of whether the attribute weight information is partially unknown or completely unknown. Third, the ARAS and VIKOR methods are extended to the picture fuzzy environment, and the proposed PFNs comparison rules are also applied in the PFS-ARAS and PFS-VIKOR methods. Fourth, the problem of green supplier selection in a picture-ambiguous environment is solved by the method proposed in this paper. Finally, the method proposed in this paper is compared with some methods and the results are analyzed.https://doi.org/10.1007/s40747-023-01007-5Picture fuzzy set (PFS)ARASVIKORThe correlation coefficient and standard deviation (CCSD) methodGreen supplier selection |
| spellingShingle | Jianping Fan Dongshuai Han Meiqin Wu Picture fuzzy Additive Ratio Assessment Method (ARAS) and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for multi-attribute decision problem and their application Complex & Intelligent Systems Picture fuzzy set (PFS) ARAS VIKOR The correlation coefficient and standard deviation (CCSD) method Green supplier selection |
| title | Picture fuzzy Additive Ratio Assessment Method (ARAS) and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for multi-attribute decision problem and their application |
| title_full | Picture fuzzy Additive Ratio Assessment Method (ARAS) and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for multi-attribute decision problem and their application |
| title_fullStr | Picture fuzzy Additive Ratio Assessment Method (ARAS) and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for multi-attribute decision problem and their application |
| title_full_unstemmed | Picture fuzzy Additive Ratio Assessment Method (ARAS) and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for multi-attribute decision problem and their application |
| title_short | Picture fuzzy Additive Ratio Assessment Method (ARAS) and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for multi-attribute decision problem and their application |
| title_sort | picture fuzzy additive ratio assessment method aras and visekriterijumska optimizacija i kompromisno resenje vikor method for multi attribute decision problem and their application |
| topic | Picture fuzzy set (PFS) ARAS VIKOR The correlation coefficient and standard deviation (CCSD) method Green supplier selection |
| url | https://doi.org/10.1007/s40747-023-01007-5 |
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