Published October 3, 2025 | Version v1
Journal article Open

Fuzzy Tolerance Hypergraphs and Fuzzy Tolerance Superhypergraphs

  • 1. Independent Researcher, Tokyo, Japan.

Description

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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