Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

6-2020

Abstract

In this paper we consider the concept of KM-fuzzy metric spaces and we introduce a novel concept of KM-single valued neutrosophic metric graphs based on KM-fuzzy metric spaces. Then we investigate the finite KM-fuzzy metric spaces with respect to KM-fuzzy metrics and we construct the KMfuzzy metric spaces on any given non-empty sets. We try 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 we investigate the class of products of KM-single valued neutrosophic metric graphs. In the final, we define some operations such as tensor product, Cartesian product, semi-strong product, strong product, union, semi-ring sum, suspension, and complement of KM-single valued neutrosophic metric graphs.

Publisher

IEEE

Publication Title

IEEE Access

Volume

8

First Page

131076

Last Page

131087

DOI

r 10.1109/ACCESS.2020.3006164

Language (ISO)

English

Keywords

(Derivable) KM-single valued neutrosophic metric graph, KM-fuzzy metric space, triangular-norm (conorm)

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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