• Title of article

    Extended graphs based on KM-fuzzy metric spaces

  • Author/Authors

    Hamidi, M. Department of Mathematics - Faculty of Mathematics - Payame Noor University, Tehran, Iran , Jahanpanah, S. Department of Mathematics - Faculty of Mathematics - Payame Noor University, Tehran, Iran , Radfar, A. Department of Mathematics - Faculty of Mathematics - Payame Noor University, Tehran, Iran

  • Pages
    15
  • From page
    81
  • To page
    95
  • Abstract
    This paper, applies the concept of KM-fuzzy metric spaces and introduces a novel concept of KM-fuzzy metric graphs based on KM-fuzzy metric spaces. This study, investigates the finite KM-fuzzy metric spaces with respect to metrics and KM-fuzzy metrics and constructs KM-fuzzy metric spaces on any given non-empty sets. It tries to extend the concept of KM-fuzzy metric spaces to a larger class of KM-fuzzy metric spaces such as unio‎n and product of KM-fuzzy metric spaces and in this regard investigates a class of products of KM-fuzzy metric graphs.
  • Keywords
    KM-Fuzzy metric space , t-norm , (derivable) KM-fuzzy metric graph , C-graphable
  • Journal title
    Iranian Journal of Fuzzy Systems (IJFS)
  • Serial Year
    2020
  • Record number

    2526596