Neutrosophic SuperHyperSoft Sets

Neutrosophic SuperHyperSoft Sets (NSHSS) represent an innovative extension of traditional soft set theory, integrating the principles of Neutrosophy to address uncertainties in decision-making processes. In this study, we recall the NSHSS and establish its foundational principles, including the rela...

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Bibliographic Details
Main Authors: Florentin Smarandache, A. Saranya, A. Kalavathi, S. Krishnaprakash
Format: Article
Language:English
Published: University of New Mexico 2025-03-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/SuperHyperSoft3.pdf
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Summary:Neutrosophic SuperHyperSoft Sets (NSHSS) represent an innovative extension of traditional soft set theory, integrating the principles of Neutrosophy to address uncertainties in decision-making processes. In this study, we recall the NSHSS and establish its foundational principles, including the relationships between various attributes and their corresponding values. The framework facilitates a structured evaluation process, allowing decision-makers to assess multiple proposals based on criteria such as environmental impact, feasibility, community engagement, cost effectiveness, and innovation. Each criterion is categorized into distinct levels, ranging from low to transformative, thereby enabling a nuanced analysis of project proposals. Through illustrative examples and tabular representations, we demonstrate the practical applications of NSHSS in selecting projects with the highest potential for positive environmental impact. The findings indicate that NSHSS can significantly enhance the decision-making process, ensuring that resources are allocated efficiently to initiatives that align with sustainability goals.
ISSN:2331-6055
2331-608X