Volume 12 • Issue 2 • PP: 51-58 • 2025
A Short Note on Interval-Valued Bipolar Fuzzy SuperHyperGraphs
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Hypergraphs extend classical graphs by allowing hyperedges to connect arbitrary nonempty subsets of vertices, thereby capturing higher-order, group-level interactions. Superhypergraphs further broaden this setting by iterating the powerset construction, which yields layered supervertices and supports multi-level relational structure. An interval-valued bipolar fuzzy graph assigns positive and negative membership intervals to vertices and edges while satisfying bipolar consistency constraints. In this paper, we extend interval-valued bipolar fuzzy graphs to the settings of hypergraphs and superhypergraphs.
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