| Title of paper:
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Analysis of hub parameters in fuzzy hypergraphs extending to intuitionistic fuzzy threshold hypergraphs: Applications in designing transport networks in amusement parks using hub hyperpaths
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| Author(s):
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| K. K. Myithili
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| Department of Mathematics (CA), Vellalar College for Women, Erode-638012, Tamilnadu, India
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| mathsmyth@gmail.com
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| C. Nandhini
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| Department of Mathematics (CA), Vellalar College for Women, Erode-638012, Tamilnadu, India
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| c.nandhini@vcw.ac.in
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 3, pages 242–259
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| DOI:
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https://doi.org/10.7546/nifs.2024.30.3.242-259
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| Download:
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 PDF (2406 Kb, File info)
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| Abstract:
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A hypergraph is a generalization of a graph where an edge can connect any number of vertices. In this paper, many different aspects of fuzzy hypergraphs and their applications are examined. The concepts of the hub hyperpath, hub set, and hub number of fuzzy hypergraphs are defined and analyzed. Specifically, the hub number in complete fuzzy hypergraphs has been analyzed and provided an example as an application part in transportation systems. Furthermore, these concepts have been expanded to Intuitionistic Fuzzy Hypergraphs (IFHGs), defining the hub hyperpath, hub set, and hub number. Additionally, the problem of designing an efficient electric transport system for moving between game stations in a large amusement park has been investigated using hub analysis within the framework of an Intuitionistic Fuzzy Threshold Hypergraph (IFTHG) environment.
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| Keywords:
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Hub analysis, Hub number of fuzzy hypergraph, Intuitionistic fuzzy hypergraph (IFHG), Intuitionistic fuzzy threshold hypergraphs (IFTHG), Transport network
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| AMS Classification:
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05C65, 05C72.
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| References:
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