Neutrosophic Triplet Metric Topology

Abstract

Topology is a branch of mathematic that deals with the specific definitions given for spatial structure concepts, com-pares different definitions and explores the connections between the structures described on the sets. Also, neutrosophic triplet metric and neutrosophic triplet topologyare a new concept in neutrosophyand they are completely different from classical structures. In this paper, we firstly studyneutrosophictriplet metric topology. Furthermore, we give some new definitions andpropertiesfor neutrosophic triplet metric space,neutrosophic triplet topology and neutrosophic triplet metric topology.Thus, we obtain neutrosophic triplet metrictopology using the neutrosophic triplet metric and neutrosophic triplet topology. Also, we showrelationship betweenneutrosophictriplet metric spaceand neutrosophic triplettopology.