Extended graphs based on KM-fuzzy metric spaces

Authors

A. Radfar Department of Mathematics, Faculty of Mathematics, Payame Noor University, Tehran, Iran

M. Hamidi Department of Mathematics, Faculty of Mathematics, Payame Noor University, Tehran, Iran

S. Jahanpanah 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.

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