Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/4257 2022 2022 Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan Takaaki Takaaki Associate Professor, Department of Mathematics, Tripura University, Agartala-799022, Tripura, India Ajoy Kanti Das Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata-741249, West Bengal, India Sankar Prasad Mondal Assistant Professor (Mathematics), Department of Education (ITEP), NIT Agartala, Jirania, 799046, Tripura, India Suman Das 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. 2025 2025 51 58 10.54216/GJMSA.120204 https://www.americaspg.com/articleinfo/33/show/4257