Muirhead Mean Operators in Quadripartitioned Single-Valued Neutrosophic Sets for Multi-Criteria Decision-Making with Indeterminate Information
This paper addresses the critical challenge of managing uncertainty, indeterminacy, and interdependencies in multi-criteria decision-making (MCDM) by introducing novel aggregation operators. Existing methods often fall short in effectively combining diverse and conflicting information, particularly...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-06-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/57Muirhead.pdf |
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| _version_ | 1849232816505618432 |
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| author | Anitha P Chitra Devi P Satham Hussain Durga Nagarajan Said Broumi Sankar Sahoo Hossein Rashmanlou |
| author_facet | Anitha P Chitra Devi P Satham Hussain Durga Nagarajan Said Broumi Sankar Sahoo Hossein Rashmanlou |
| author_sort | Anitha P |
| collection | DOAJ |
| description | This paper addresses the critical challenge of managing uncertainty, indeterminacy, and interdependencies in multi-criteria decision-making (MCDM) by introducing novel aggregation operators. Existing methods often fall short in effectively combining diverse and conflicting information, particularly in complex and uncertain environments. To bridge this gap, we propose the integration of the Muirhead Mean (MM) operator a versatile tool that generalizes arithmetic and geometric means-into the framework of Quaripartitioned Single-Valued Neutrosophic (QSVN) set theory, which accounts for truth, contradiction, ignorance, and falsity. The mathematical properties of the proposed operators are thoroughly analyzed, demonstrating their robustness and flexibility. A new decision-making process is developed to tackle uncertainty and interdependencies, supported by illustrative examples that highlight the practical significance of this approach. This work offers a substantial advancement in the design of dependable and adaptable decision-making frameworks for complex real-world scenarios. |
| format | Article |
| id | doaj-art-346e19cd46ef45a69c8aa1e7706bd57c |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-06-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-346e19cd46ef45a69c8aa1e7706bd57c2025-08-20T17:33:42ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-06-0185984100310.5281/zenodo.15399562Muirhead Mean Operators in Quadripartitioned Single-Valued Neutrosophic Sets for Multi-Criteria Decision-Making with Indeterminate InformationAnitha PChitra Devi PSatham HussainDurga NagarajanSaid BroumiSankar SahooHossein RashmanlouThis paper addresses the critical challenge of managing uncertainty, indeterminacy, and interdependencies in multi-criteria decision-making (MCDM) by introducing novel aggregation operators. Existing methods often fall short in effectively combining diverse and conflicting information, particularly in complex and uncertain environments. To bridge this gap, we propose the integration of the Muirhead Mean (MM) operator a versatile tool that generalizes arithmetic and geometric means-into the framework of Quaripartitioned Single-Valued Neutrosophic (QSVN) set theory, which accounts for truth, contradiction, ignorance, and falsity. The mathematical properties of the proposed operators are thoroughly analyzed, demonstrating their robustness and flexibility. A new decision-making process is developed to tackle uncertainty and interdependencies, supported by illustrative examples that highlight the practical significance of this approach. This work offers a substantial advancement in the design of dependable and adaptable decision-making frameworks for complex real-world scenarios.https://fs.unm.edu/NSS/57Muirhead.pdfmulti-criteria decision-making (mcdm)muirhead mean (mm)quaripartitioned single-valued neutrosophic (qsvn) set theory |
| spellingShingle | Anitha P Chitra Devi P Satham Hussain Durga Nagarajan Said Broumi Sankar Sahoo Hossein Rashmanlou Muirhead Mean Operators in Quadripartitioned Single-Valued Neutrosophic Sets for Multi-Criteria Decision-Making with Indeterminate Information Neutrosophic Sets and Systems multi-criteria decision-making (mcdm) muirhead mean (mm) quaripartitioned single-valued neutrosophic (qsvn) set theory |
| title | Muirhead Mean Operators in Quadripartitioned Single-Valued Neutrosophic Sets for Multi-Criteria Decision-Making with Indeterminate Information |
| title_full | Muirhead Mean Operators in Quadripartitioned Single-Valued Neutrosophic Sets for Multi-Criteria Decision-Making with Indeterminate Information |
| title_fullStr | Muirhead Mean Operators in Quadripartitioned Single-Valued Neutrosophic Sets for Multi-Criteria Decision-Making with Indeterminate Information |
| title_full_unstemmed | Muirhead Mean Operators in Quadripartitioned Single-Valued Neutrosophic Sets for Multi-Criteria Decision-Making with Indeterminate Information |
| title_short | Muirhead Mean Operators in Quadripartitioned Single-Valued Neutrosophic Sets for Multi-Criteria Decision-Making with Indeterminate Information |
| title_sort | muirhead mean operators in quadripartitioned single valued neutrosophic sets for multi criteria decision making with indeterminate information |
| topic | multi-criteria decision-making (mcdm) muirhead mean (mm) quaripartitioned single-valued neutrosophic (qsvn) set theory |
| url | https://fs.unm.edu/NSS/57Muirhead.pdf |
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