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t-Norm Fuzzy Incidence Graphs

Author

Listed:
  • John N. Mordeson

    (Department of Mathematics, Creighton University, Omaha, NE 68178, USA)

  • Sunil Mathew

    (Department of Mathematics, National Institute of Technology, Calicut 673601, India)

Abstract

It is the case that, in certain applications of fuzzy graphs, a t-norm, instead of a minimum, is more suitable. This requires the development of a new theory of fuzzy graphs involving an arbitrary t-norm in the basic definition of a fuzzy graph. There is very little known about this type of fuzzy graph. The purpose of this paper is to further develop this type of fuzzy graph. We concentrate on the relatively new concept of fuzzy incidence graphs.

Suggested Citation

  • John N. Mordeson & Sunil Mathew, 2018. "t-Norm Fuzzy Incidence Graphs," Mathematics, MDPI, vol. 6(4), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:4:p:62-:d:142234
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    References listed on IDEAS

    as
    1. John N. Mordeson & Sunil Mathew & R. A. Borzooei, 2018. "Vulnerability and Government Response to Human Trafficking: Vague Fuzzy Incidence Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 203-219, July.
    2. Simas, Tiago & Rocha, Luis M., 2015. "Distance closures on complex networks," Network Science, Cambridge University Press, vol. 3(2), pages 227-268, June.
    3. John N. Mordeson & Sunil Mathew, 2017. "Human Trafficking: Source, Transit, Destination Designations," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 209-218, November.
    4. John N. Mordeson & Sunil Mathew, 2018. "t-Norm Fuzzy Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 129-143, March.
    Full references (including those not matched with items on IDEAS)

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