THE NEUTROSOPHIZE OF NEW CONTINUITY SPECIES

Year 2024, Volume: 6 Issue: 2, 54 - 67

Ahu Açıkgöz , Ferhat Esenbel

https://doi.org/10.47086/pims.1503458

Abstract

In this study, after giving the necessary definitions in the preliminaries
and explaining the process that make this study necessary is explained
in the introduction, in the third section, some types of open set that were previously
defined in general topology and various non-standard topological spaces
are presented and the relationships between them are explained with the help
of a diagram. Then, the concept of neutrosophic af-open set is defined and
its relations with other open set types are examined and their properties are
investigated in neutrosophic topology. In the following sections, the concept
of af-open set is generalized and different types of continuities are introduced
using these new concepts of open set, and the connections between them are
illustrated with examples and diagrams.

Keywords

neutrosophic topological space, neutrosophic af-interior operator, neutrosophic af-neighbourhood, neutrosophic af-continous function

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