University of KashanMathematics Interdisciplinary Research2538-36395220200601Toplogical and Geometric KM-Single Valued Neutrosophic Metric Spaces13115511078110.22052/mir.2020.227202.1209ENMohammadHamidiDepartment of Mathematics, University of Payame Noor, Tehran, IranMahdiMollaei-AraniDepartment of Mathematics, University of Payame Noor, Tehran, IranYousefAlipour-FakhriDepartment of Mathematics, University of Payame Noor, Tehran, IranJournal Article20200415This paper introduces the novel concept of KM-single valued neutrosophic metric spaces as an especial generalization of KM-fuzzy metric spaces, investigates several topological and structural properties and presents some of its applications. This study also considers the metric spaces and constructs KM-single valued neutrosophic spaces with respect to any given triangular norms and triangular conorms. Moreover, we try to extend the concept of KM-single valued neutrosophic metric spaces to a larger class of KM-single valued neutrosophic metric spaces such as union of KM-single valued neutrosophic metric spaces and product of KM-single valued neutrosophic metric spaceshttps://mir.kashanu.ac.ir/article_110781_a0449f237421dc7bb3437d2ff15d7d16.pdf