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Results on t-Fuzzy Graphs

Author

Listed:
  • R. A. Borzooei

    (Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran)

  • B. Sheikh Hoseini

    (Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran)

  • M. Mohseni Takallo

    (Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran)

Abstract

It is much more practical to use the t-norm than the minimum in defining the fuzzy graph. Hence, the concept of t-fuzzy graph was introduced by Mordeson et al. in [J. N. Mordeson and S. Mathew, t-norm Fuzzy Graphs, New Mathematics and Natural Computation 14(1) (2018) 129–143]. In this paper, we concentrate on the relatively new concept of fuzzy adjacency matrix of that t-fuzzy graphs. The purpose of this paper is to further develop a product of this fuzzy adjacency matrix based on t-fuzzy graphs. Moreover, two kinds of Boolean matrix are defined and relation between Normal Boolean matrix, product of adjacency matrix and 1-level cut Boolean matrix is obtained.

Suggested Citation

  • R. A. Borzooei & B. Sheikh Hoseini & M. Mohseni Takallo, 2020. "Results on t-Fuzzy Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 143-161, March.
    • Handle: RePEc:wsi:nmncxx:v:16:y:2020:i:01:n:s179300572050009x
    DOI: 10.1142/S179300572050009X
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