Fuzzy Tolerance Hypergraphs and Fuzzy ToleranceSuperhypergraphs

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Published: Oct 2, 2025
Keywords:
uperHyperGraph, HyperGraph, Fuzzy Graph, Fuzzy Hypergraph, Fuzzy SuperHyperGraph, Tolerance SuperHyperGraph, Tolerance HyperGraph

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Takaaki Fujita
Independent Researcher, Tokyo, Japan.
Arif Mehmood
Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan

Abstract

Hypergraphs generalize this framework by allowing hyperedges that join more than two vertices [1,2].
Superhypergraphs further enrich the model through iterated powerset constructions, capturing hierarchical and
self-referential structures among hyperedges [3]. In this paper, we introduce new classes of graphs, namely
the Tolerance SuperHyperGraph, Tolerance HyperGraph, Fuzzy Tolerance Hypergraph, and Fuzzy Tolerance
SuperHypergraph, and examine their properties.

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How to Cite
Fuzzy Tolerance Hypergraphs and Fuzzy ToleranceSuperhypergraphs. (2025). Neutrosophic Computing and Machine Learning. ISSN 2574-1101, 41, 46-70. https://fs.unm.edu/NCML2/index.php/112/article/view/899
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Vol. 41 (2026): January-MArch
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Articles
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How to Cite

Fuzzy Tolerance Hypergraphs and Fuzzy ToleranceSuperhypergraphs. (2025). Neutrosophic Computing and Machine Learning. ISSN 2574-1101, 41, 46-70. https://fs.unm.edu/NCML2/index.php/112/article/view/899