Picture Fuzzy, Hesitant Fuzzy, and Spherical Fuzzy SuperHyperGraph

2025 · doi:10.32388/tpfjpy
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Abstract

Graph theory studies structures of vertices and edges to model relationships and connectivity[1][2]. Hypergraphs extend this framework by allowing _hyperedges_ that join any number of vertices simultaneously[3], and superhypergraphs further introduce iterated powerset layers for hierarchical, self‐referential connections[4][5]. Building on advances in fuzzy and soft computing—such as fuzzy sets[6], soft sets[7], intuitionistic fuzzy sets[8], neutrosophic sets[9], hesitant fuzzy sets[10], picture fuzzy sets[11], spherical fuzzy sets[12], and plithogenic sets[13][14]—this paper formally defines Picture Fuzzy, Hesitant Fuzzy, and Spherical Fuzzy SuperHyperGraphs and offers a concise discussion of their fundamental properties.
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License: CC-BY-4.0