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
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
