Neutrosophic Soft n-Super-HyperGraphs with Real-World Applications
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i3.6621Keywords:
HyperGraph, Neutrosophic Set, Soft SetAbstract
Graph theory provides a fundamental framework for modeling relationships using vertices and edges [1, 2]. Hypergraphs extend this framework by allowing hyperedges that can simultaneously connect multiple vertices [3], while n-Super-HyperGraphs further generalize hypergraphs via iterated power-set constructions to capture hierarchical relationships [4, 5]. In parallel, various
uncertainty modeling paradigms—such as fuzzy sets [6], soft sets [7], intuitionistic fuzzy sets [8–10], neutrosophic sets, and plithogenic sets—have been developed to handle imprecise or indeterminate information. In this paper, we propose a novel framework called the Neutrosophic Soft n-Super-HyperGraph, which integrates neutrosophic logic, soft set theory, and n-Super-HyperGraph structures. This model has the potential to facilitate effective decision-making in complex and uncertain networked
environments.
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Copyright (c) 2025 Takaaki Fujita, Florentin Smarandache
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