Cartesian Product and Composition of Soft Semigraphs
Bobin George (),
Jinta Jose and
Rajesh K. Thumbakara ()
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Bobin George: Department of Mathematics, Pavanatma College, Murickassery, Idukki 685604, Kerala, India
Jinta Jose: Department of Science and Humanities, Viswajyothi College of Engineering & Technology, Vazhakulam, Muvattupuzha, Ernakulam 686670, Kerala, India
Rajesh K. Thumbakara: Department of Mathematics, Mar Athanasius College (Autonomous), Kothamangalam 686666, Kerala, India
New Mathematics and Natural Computation (NMNC), 2025, vol. 21, issue 01, 37-60
Abstract:
The concept of soft set theory offers a versatile framework for addressing uncertain and imprecise information that classical set theory struggles to manage effectively. The notion of a soft set was utilized to introduce the concept of a soft graph, which enables the generation of various representations of a relation represented by a graph through parametrization. Semigraph is a generalization of a graph which is different from a hypergraph. Soft semigraph was introduced by applying the concept of soft set in semigraph. In this paper, we introduce the Cartesian product, restricted Cartesian product, composition and restricted composition of soft semigraphs and investigate some of their properties.
Keywords: Soft set; semigraph; soft semigraph (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S1793005725500036
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