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Fuzzification of Zero Forcing Process

Author

Listed:
  • R. A. Borzooei

    (Department of Mathematics, Shahid Beheshti University, Tehran, Iran)

  • B. Sheikh Hoseini

    (Department of Mathematics, Shahid Beheshti University, Tehran, Iran)

  • M. Golmohammadian

    (#x2020;Department of Mathematics, Tarbiat Modares University, Tehran, Iran)

  • Z. Montazeri

    (#x2021;Department of Mathematics, Alzahra University, Tehran, Iran)

  • M. Mohseni Takallo

    (Department of Mathematics, Shahid Beheshti University, Tehran, Iran)

Abstract

In this paper, we investigate the fuzzification of zero forcing process. For this, first we introduce a new embedding of a graph G by considering a minimal zero forcing set of G and an arbitrary list of maximal forcing chains of this zero forcing set. Then we get a comparison between zero forcing sets of a graph by using fuzzy concepts. Finally, we give an application for this procedure.

Suggested Citation

  • R. A. Borzooei & B. Sheikh Hoseini & M. Golmohammadian & Z. Montazeri & M. Mohseni Takallo, 2020. "Fuzzification of Zero Forcing Process," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 195-210, March.
    • Handle: RePEc:wsi:nmncxx:v:16:y:2020:i:01:n:s179300572050012x
    DOI: 10.1142/S179300572050012X
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