On Extension of Metricspace to Neutro Hypermetricspace

Abstract

Polvan introduced the impression of strong neutro metricspaces. He demonstrtated this impression
 depending on the neutro precepts from the neutro function one of the impressions of Smarandache. In this study,
 we introduce an extension of neutro metricspaces as neutro hypermetricspaces and investigated their qualities.
 We show that neutro hypermetricspaces are an extension of metricspaces and analyzed the relations between
 metricspaces and neutro hypermetricspaces. The basic impressions such as open positive-ball subsets and open
 negative-ball subsets are defined and are presented by some finite and finite neutro hypermetricspaces. Based
 on the open positive-ball subsets and open negative-ball subsets, we demonstrate the impressions of neutro
 negative-open sets and neutro positive-open sets, respectively.

DOI: 10.5281/zenodo.13381949