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Galoitica: Journal of Mathematical Structures and Applications

Volume 12 , Issue 2 , PP: 51-58, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

A Short Note on Interval-Valued Bipolar Fuzzy SuperHyperGraphs

Takaaki Fujita 1 * , Ajoy Kanti Das 2 , Sankar Prasad Mondal 3 , Suman Das 4

  • 1 Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan - (Takaaki.fujita060@gmail.com)
  • 2 Associate Professor, Department of Mathematics, Tripura University, Agartala-799022, Tripura, India - (ajoykantidas@gmail.com)
  • 3 Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata-741249, West Bengal, India - (sankar.mondal02@gmail.com)
  • 4 Assistant Professor (Mathematics), Department of Education (ITEP), NIT Agartala, Jirania, 799046, Tripura, India - (dr.sumandas1995@gmail.com)

    • Doi: https://doi.org/10.54216/GJMSA.120204

    Received: February 09, 2025 Revised: June 06, 2025 Accepted: August 11, 2025
    Abstract

    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.

    Keywords :

    SuperHyperGraph , HyperGraph , Fuzzy SuperHyperGraph , Interval-valued bipolar fuzzy graph

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    Cite This Article As :
    Fujita, Takaaki. , Kanti, Ajoy. , Prasad, Sankar. , Das, Suman. A Short Note on Interval-Valued Bipolar Fuzzy SuperHyperGraphs. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2025, pp. 51-58. DOI: https://doi.org/10.54216/GJMSA.120204
    Fujita, T. Kanti, A. Prasad, S. Das, S. (2025). A Short Note on Interval-Valued Bipolar Fuzzy SuperHyperGraphs. Galoitica: Journal of Mathematical Structures and Applications, (), 51-58. DOI: https://doi.org/10.54216/GJMSA.120204
    Fujita, Takaaki. Kanti, Ajoy. Prasad, Sankar. Das, Suman. A Short Note on Interval-Valued Bipolar Fuzzy SuperHyperGraphs. Galoitica: Journal of Mathematical Structures and Applications , no. (2025): 51-58. DOI: https://doi.org/10.54216/GJMSA.120204
    Fujita, T. , Kanti, A. , Prasad, S. , Das, S. (2025) . A Short Note on Interval-Valued Bipolar Fuzzy SuperHyperGraphs. Galoitica: Journal of Mathematical Structures and Applications , () , 51-58 . DOI: https://doi.org/10.54216/GJMSA.120204
    Fujita T. , Kanti A. , Prasad S. , Das S. [2025]. A Short Note on Interval-Valued Bipolar Fuzzy SuperHyperGraphs. Galoitica: Journal of Mathematical Structures and Applications. (): 51-58. DOI: https://doi.org/10.54216/GJMSA.120204
    Fujita, T. Kanti, A. Prasad, S. Das, S. "A Short Note on Interval-Valued Bipolar Fuzzy SuperHyperGraphs," Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , pp. 51-58, 2025. DOI: https://doi.org/10.54216/GJMSA.120204

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