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Cubic Soft Graphs with Application in Decision Making

Author

Listed:
  • 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)

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.

Suggested Citation

  • M. Mohseni Takallo & F. Karazma & M. Aaly Kologani & R. A. Borzooei, 2022. "Cubic Soft Graphs with Application in Decision Making," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 843-869, November.
    • Handle: RePEc:wsi:nmncxx:v:18:y:2022:i:03:n:s1793005722500405
    DOI: 10.1142/S1793005722500405
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