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 |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 2331-6055 2331-608X |