On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces

Mehmet Celik ^*1, Ahmed Hatip²

^1,2Department Of Mathematics, Gaziantep University, Gaziantep, Turkey

Emails: mathcelik@gmail.com ;Kollnaar5@gmail.com

Abstract

The aim of this paper is to generalize the neutrosophic AH-isometry into the system of refined neutrosophic numbers, where it presents an isometer between the refined neutrosophic space with one/two neutrosophic dimensions and the cartesian product of classical Euclidean spaces.Also, many refined neutrosophic geometrical surfaces such as refined circles and lines will be handled according to the isometry.

Keywords: Refined Neutrosophic Space; refined neutrosophic geometry; semi homomorphism; refined AH-isometry