A generalized interval-valued p,q Rung orthopair fuzzy Maclaurin symmetric mean and modified regret theory based sustainable supplier selection method
Abstract A novel interval valued p,q Rung orthopair fuzzy (IVPQ-ROF) multiple attribute group decision making (MAGDM) method for sustainable supplier selection (SSS) is proposed in this paper. This study mainly contains two research points: (1) tackling the interrelation between attributes; and (2)...
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Nature Portfolio
2024-06-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-64765-3 |
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| author | Shuang Chen Jian Ren KeTing Ye FeiYan Li |
| author_facet | Shuang Chen Jian Ren KeTing Ye FeiYan Li |
| author_sort | Shuang Chen |
| collection | DOAJ |
| description | Abstract A novel interval valued p,q Rung orthopair fuzzy (IVPQ-ROF) multiple attribute group decision making (MAGDM) method for sustainable supplier selection (SSS) is proposed in this paper. This study mainly contains two research points: (1) tackling the interrelation between attributes; and (2) describing the psychological state and risk attitude of decision makers (DMs). For the first research point, we introduce the Archimedean operation rules for interval valued p,q Rung orthopair fuzzy sets (IVPQ-ROFSs), then the generalized interval valued p, q Rung orthopair fuzzy Maclaurin symmetric mean (GIVPQ-ROFMSM) operator and the generalized interval valued p, q Rung orthopair fuzzy weighted Maclaurin symmetric mean (GIVPQ-ROFWMSM) operator are defined to reflect the correlation between attributes. For the second research point, we introduce the positive ideal degree (PID) and negative ideal degree (NID) based on projection of IVPQ-ROFSs, and modified regret theory. Both of them consider the best alternative and worst alternative, so as to reflect the psychological state and risk attitude of DMs. Finally, a SSS problem is presented to manifest the effectiveness of the designed method. We also provide sensitivity analysis and comparative analysis to further demonstrate the rationality and validity of the proposed method. |
| format | Article |
| id | doaj-art-a9d20fbd66e74e5785f9e3c13040b61e |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Nature Portfolio |
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| series | Scientific Reports |
| spelling | doaj-art-a9d20fbd66e74e5785f9e3c13040b61e2025-01-26T12:34:49ZengNature PortfolioScientific Reports2045-23222024-06-0114113810.1038/s41598-024-64765-3A generalized interval-valued p,q Rung orthopair fuzzy Maclaurin symmetric mean and modified regret theory based sustainable supplier selection methodShuang Chen0Jian Ren1KeTing Ye2FeiYan Li3School of Advanced Interdisciplinary Studies, Hunan University of Technology and BusinessSchool of Advanced Interdisciplinary Studies, Hunan University of Technology and BusinessSchool of Advanced Interdisciplinary Studies, Hunan University of Technology and BusinessSchool of Advanced Interdisciplinary Studies, Hunan University of Technology and BusinessAbstract A novel interval valued p,q Rung orthopair fuzzy (IVPQ-ROF) multiple attribute group decision making (MAGDM) method for sustainable supplier selection (SSS) is proposed in this paper. This study mainly contains two research points: (1) tackling the interrelation between attributes; and (2) describing the psychological state and risk attitude of decision makers (DMs). For the first research point, we introduce the Archimedean operation rules for interval valued p,q Rung orthopair fuzzy sets (IVPQ-ROFSs), then the generalized interval valued p, q Rung orthopair fuzzy Maclaurin symmetric mean (GIVPQ-ROFMSM) operator and the generalized interval valued p, q Rung orthopair fuzzy weighted Maclaurin symmetric mean (GIVPQ-ROFWMSM) operator are defined to reflect the correlation between attributes. For the second research point, we introduce the positive ideal degree (PID) and negative ideal degree (NID) based on projection of IVPQ-ROFSs, and modified regret theory. Both of them consider the best alternative and worst alternative, so as to reflect the psychological state and risk attitude of DMs. Finally, a SSS problem is presented to manifest the effectiveness of the designed method. We also provide sensitivity analysis and comparative analysis to further demonstrate the rationality and validity of the proposed method.https://doi.org/10.1038/s41598-024-64765-3Interval-valued p,q Rung orthopair fuzzy setsGeneralized Maclaurin symmetric meanSustainable supplier selectionRegret theoryMultiple attribute group decision making |
| spellingShingle | Shuang Chen Jian Ren KeTing Ye FeiYan Li A generalized interval-valued p,q Rung orthopair fuzzy Maclaurin symmetric mean and modified regret theory based sustainable supplier selection method Scientific Reports Interval-valued p,q Rung orthopair fuzzy sets Generalized Maclaurin symmetric mean Sustainable supplier selection Regret theory Multiple attribute group decision making |
| title | A generalized interval-valued p,q Rung orthopair fuzzy Maclaurin symmetric mean and modified regret theory based sustainable supplier selection method |
| title_full | A generalized interval-valued p,q Rung orthopair fuzzy Maclaurin symmetric mean and modified regret theory based sustainable supplier selection method |
| title_fullStr | A generalized interval-valued p,q Rung orthopair fuzzy Maclaurin symmetric mean and modified regret theory based sustainable supplier selection method |
| title_full_unstemmed | A generalized interval-valued p,q Rung orthopair fuzzy Maclaurin symmetric mean and modified regret theory based sustainable supplier selection method |
| title_short | A generalized interval-valued p,q Rung orthopair fuzzy Maclaurin symmetric mean and modified regret theory based sustainable supplier selection method |
| title_sort | generalized interval valued p q rung orthopair fuzzy maclaurin symmetric mean and modified regret theory based sustainable supplier selection method |
| topic | Interval-valued p,q Rung orthopair fuzzy sets Generalized Maclaurin symmetric mean Sustainable supplier selection Regret theory Multiple attribute group decision making |
| url | https://doi.org/10.1038/s41598-024-64765-3 |
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