Neutro Open Set-Based Strong Neutro Metric Space

Abstract

Memet et al. interposed the concept of neutro metric spaces. They established this concept depend  on the neutro axioms from the neutro function one of the ideas of Smarandache. In the concept of neutro metric  spaces used the non-negative and negative real numbers. We introduced this notion depend on the non-negative  real numbers and redefined the neutro metric space depend on the strong neutro metrics. We investigate the  properties of strong neutro metric spaces and present the notion of neutro-open sets and neutro-closed sets. We  distinguished between the operations on neutro-open sets in strong neutro metric space and open sets in metric  spaces.