Interval-Valued Neutrosophic Models Based on Superhypergraphs

Authors

DOI:

https://doi.org/10.64060/ANMI1V1i5

Keywords:

HyperGraph, Neutrosophic Graph, SuperHyperGraph, Interval-valued Neutrosophic Hypergraph, Intervalvalued Neutrosophic Superhypergraph

Abstract

Graph theory provides a fundamental framework for modeling relationships via vertices and edges. Hypergraphs extend this framework by allowing hyperedges to connect multiple vertices simultaneously, while superhypergraphs further generalize hypergraphs through iterated powerset constructions, thereby capturing complex hierarchical dependencies. This paper introduces and investigates the interval-valued neutrosophic superhypergraph, a new structure that unifies interval-valued neutrosophic hypergraphs with neutrosophic superhypergraphs. By assigning an interval-valued neutrosophic triple to each vertex at every hierarchical level, the proposed model represents truth, indeterminacy, and falsity degrees within multilevel relations. We also discuss several engineering applications of interval-valued neutrosophic superhypergraphs.

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Published

2026-03-15

Issue

Vol. 1 No. 1 (2026)

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Articles

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Copyright (c) 2026 Takaaki Fujita (Author)

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Interval-Valued Neutrosophic Models Based on Superhypergraphs. (2026). Advances in Neutrosophic Mathematics and Informatics, 1(1), 31-42. https://doi.org/10.64060/ANMI1V1i5

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