Picture Fuzzy, Hesitant Fuzzy, and Spherical Fuzzy SuperHyperGraph

Read the full article See related articles

Listed in

This article is not in any list yet, why not save it to one of your lists.
Log in to save this article

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.

Article activity feed