An Advanced Approach to Weighted Neutrosophic Soft Relations for Multi-Criteria Decision-Making for Apartment Selection, Macroeconomic Policy Evaluation and Water Quality Assessment
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Tarih
2026
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Dergi ISSN
Cilt Başlığı
Yayıncı
Soc Paranaense Matematica
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we introduce the concept of Weighted Neutrosophic Soft Relations (WNSRs) and explore their theoretical foundations, including key definitions, essential properties, and fundamental operations. We construct the Cartesian product of Weighted Neutrosophic Soft Sets (WNSSs) and define a new class of WNSRs, forming a robust mathematical framework for practical implementation. Furthermore, we propose a novel Multi-Criteria Decision-Making Model (MCDMM) based on WNSRs, utilizing a weighted score function to enhance the consistency, reliability, and interpretability of decisions under uncertainty. The developed model enables decision-makers to integrate parameter-specific weights, thereby improving adaptability and precision in complex decision-making environments. To validate the proposed approach, a real-world Decision-Making Problem (DMP) is solved and compared with the existing Dalk & imath;l & imath;& cedil;c method. The comparative analysis demonstrates that our model surpasses previous approaches in terms of flexibility, accuracy, and stability. Additionally, its adjustable structure supports iterative refinements, ensuring optimal and rational decision outcomes. Overall, this research advances the field of multi-criteria decision-making (MCDM) by establishing a comprehensive theoretical and applied framework for WNSRs, offering a powerful tool to manage uncertainty across diverse application domains.
Açıklama
Anahtar Kelimeler
[Keyword Not Available]
Kaynak
Boletim Sociedade Paranaense de Matematica
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
44
Sayı
11
