Multiple-Attribute Decision Making Based on Novel Single Valued Neutrosophic Aczel-Alsina Power Muirhead Mean Operators
Neutrosophic multiple-attribute decision making (MADM) is one of the major study areas in ambiguous and inconsistent decision-making problems. The single-valued neutrosophic number (SVNN), which is an expansion of the fuzzy number, intuitionistic fuzzy number, can handle difficulties involving a hug...
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| Language: | English |
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University of New Mexico
2025-02-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/MultipleAttribute19.pdf |
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| author | Peide Liu Qaisar Khan Rashid Ali Hidayat Ullah Rashid Jan |
| author_facet | Peide Liu Qaisar Khan Rashid Ali Hidayat Ullah Rashid Jan |
| author_sort | Peide Liu |
| collection | DOAJ |
| description | Neutrosophic multiple-attribute decision making (MADM) is one of the major study areas in ambiguous and inconsistent decision-making problems. The single-valued neutrosophic number (SVNN), which is an expansion of the fuzzy number, intuitionistic fuzzy number, can handle difficulties involving a huge quantity of erroneous, partial, and inconsistent information. To address the multi-criteria decision-making problems, novel aggregation operators (AGOs) are proposed in this article considering the benefits of the SVNN. The new AGOs consider the interrelationship involving any number of input data and can remove the effect of unreliable data. This article adds the Aczel-Alsina (AA) operations to increase the flexibility of the new AGOs. This study proposes the single-valued neutrosophic Aczel-Alsina power Muirhead mean (SVNAAPMM) operator, single-valued neutrosophic Aczel-Alsina power dual Muirhead mean (SVNAAPDMM) operator which combines the Aczel-Asina operational rules with the power average/geometric operator and the Muirhead/ dual Muirhead mean operators. Some core characteristics and special cases with respect to the parameters are explored and it is found that various existing AGOs are special cases of the newly initiated AGOs. Further, weighted form these AGOs are introduced. Then, we set up the MADM technique using the two AGOs that are suggested to solve MADM problems. We then give a numerical example about strategic supplier’s selection and compare it to other related MADM techniques already in use in the SVNN information to demonstrate the effectiveness and appropriateness of the anticipated technique. |
| format | Article |
| id | doaj-art-37ae240b37494d8d83d1078a158efd35 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-02-01 |
| publisher | University of New Mexico |
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| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-37ae240b37494d8d83d1078a158efd352025-08-20T04:03:18ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-02-017633035910.5281/zenodo.14010223Multiple-Attribute Decision Making Based on Novel Single Valued Neutrosophic Aczel-Alsina Power Muirhead Mean OperatorsPeide LiuQaisar KhanRashid AliHidayat UllahRashid JanNeutrosophic multiple-attribute decision making (MADM) is one of the major study areas in ambiguous and inconsistent decision-making problems. The single-valued neutrosophic number (SVNN), which is an expansion of the fuzzy number, intuitionistic fuzzy number, can handle difficulties involving a huge quantity of erroneous, partial, and inconsistent information. To address the multi-criteria decision-making problems, novel aggregation operators (AGOs) are proposed in this article considering the benefits of the SVNN. The new AGOs consider the interrelationship involving any number of input data and can remove the effect of unreliable data. This article adds the Aczel-Alsina (AA) operations to increase the flexibility of the new AGOs. This study proposes the single-valued neutrosophic Aczel-Alsina power Muirhead mean (SVNAAPMM) operator, single-valued neutrosophic Aczel-Alsina power dual Muirhead mean (SVNAAPDMM) operator which combines the Aczel-Asina operational rules with the power average/geometric operator and the Muirhead/ dual Muirhead mean operators. Some core characteristics and special cases with respect to the parameters are explored and it is found that various existing AGOs are special cases of the newly initiated AGOs. Further, weighted form these AGOs are introduced. Then, we set up the MADM technique using the two AGOs that are suggested to solve MADM problems. We then give a numerical example about strategic supplier’s selection and compare it to other related MADM techniques already in use in the SVNN information to demonstrate the effectiveness and appropriateness of the anticipated technique. https://fs.unm.edu/NSS/MultipleAttribute19.pdfsingle valued neutrosophic setsmuirhead/dual muirhead mean operatorspower average/geometric operatorsmadm |
| spellingShingle | Peide Liu Qaisar Khan Rashid Ali Hidayat Ullah Rashid Jan Multiple-Attribute Decision Making Based on Novel Single Valued Neutrosophic Aczel-Alsina Power Muirhead Mean Operators Neutrosophic Sets and Systems single valued neutrosophic sets muirhead/dual muirhead mean operators power average/geometric operators madm |
| title | Multiple-Attribute Decision Making Based on Novel Single Valued Neutrosophic Aczel-Alsina Power Muirhead Mean Operators |
| title_full | Multiple-Attribute Decision Making Based on Novel Single Valued Neutrosophic Aczel-Alsina Power Muirhead Mean Operators |
| title_fullStr | Multiple-Attribute Decision Making Based on Novel Single Valued Neutrosophic Aczel-Alsina Power Muirhead Mean Operators |
| title_full_unstemmed | Multiple-Attribute Decision Making Based on Novel Single Valued Neutrosophic Aczel-Alsina Power Muirhead Mean Operators |
| title_short | Multiple-Attribute Decision Making Based on Novel Single Valued Neutrosophic Aczel-Alsina Power Muirhead Mean Operators |
| title_sort | multiple attribute decision making based on novel single valued neutrosophic aczel alsina power muirhead mean operators |
| topic | single valued neutrosophic sets muirhead/dual muirhead mean operators power average/geometric operators madm |
| url | https://fs.unm.edu/NSS/MultipleAttribute19.pdf |
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