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An Introduction to Soft Hypergraphs

Author(s)
Bobin George Department of Mathematics, Pavanatma College Murickassery,,India
Jinta Jose Department of Science and Humanities, Viswajyothi College of Engineering and Technology Vazhakulam,,India
Rajesh K. Thumbakara Department of Mathematics, Mar Athanasius College (Autonomous) Kothamangalam,,India
Abstract
This is an introductory paper on Soft Hypergraph. In 1999, D. Molodtsov initiated the concept of soft set theory. This is an approach for modeling vagueness and uncertainty. The concept of soft graphs introduced by Rajesh K. Thumbakara and Bobin George is used to provide a parameterized point of view for graphs. Theory of soft graphs is a fast developing area in graph theory due to its capability to deal with the parameterization tool. Hypergraph is a generalization of graph. In this paper we introduce the concept of soft hypergraph by applying the idea of soft set in hypergraph. By means of parameterization, soft hypergraph produces a series of descriptions of a relation described using a hypergraph.
Publication Details
Page(s) 43-59
DOI DOI not available
Published Journal: Journal of Prime Research in Mathematics, Volume: 18, Issue: 1, Year: 2022

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Keywords
soft set, Soft Graph, Soft Hypergraph
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