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Cubic Soft Graphs with Application in Decision Making

M. Mohseni Takallo (), F. Karazma (), M. Aaly Kologani () and R. A. Borzooei
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M. Mohseni Takallo: Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
F. Karazma: Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
M. Aaly Kologani: ��Hatef Higher Education Institute, Zahedan, Iran
R. A. Borzooei: Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 03, 843-869

Abstract: A graph structure is a useful tool in solving the combinatorial problems in different areas of computer science and computational intelligence systems. In this paper, we introduce the concept of cubic soft graph, complete cubic soft graph, (internal, external) cubic soft graphs and investigate some of their properties. Then we deal with fundamental operations, union, intersection, Cartesian product, composition of cubic soft graphs and illustrate these notions by several examples. We prove that cubic soft graphs under these operations are also a cubic soft graph. Finally, we describe an application of cubic soft graphs in decision making.

Keywords: Cubic graphs; cubic soft sets; cubic soft graphs; complete cubic soft graphs (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S1793005722500405

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