(1909-5474) Extended graphs based on KM-fuzzy metric spaces

Document Type: Original Manuscript


1 Payame Noor University

2 Department of Mathematics, Faculty of Mathematics, Payame Noor University, Tehran, Iran;



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 on 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 on a class of products of KM-fuzzy metric graphs.