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Cartesian Product and Composition of Soft Semigraphs

Author

Listed:
  • 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)

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.

Suggested Citation

  • Bobin George & Jinta Jose & Rajesh K. Thumbakara, 2025. "Cartesian Product and Composition of Soft Semigraphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 21(01), pages 37-60, March.
    • Handle: RePEc:wsi:nmncxx:v:21:y:2025:i:01:n:s1793005725500036
    DOI: 10.1142/S1793005725500036
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