Extended graphs based on KM-fuzzy metric spaces

Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJFS-17-5_009

تاریخ نمایه سازی: 30 خرداد 1400

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

Authors

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

A. Radfar

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