Other Certain Classes of Generalized Neutrosophic Soft Separation Structures

Alaa. M. F. AL. Jumaili^{1, *}

¹ Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Iraq

Emails: eps.alaamahmood.farhan@uoanbar.edu.iq

Abstract

The main target of introduce our manuscript is to study and investigate another new extension for the classical meanings of neutrosophic soft neighbourhood and soft separation structures namely, neutrosophic soft δ-ß-neighbourhood and neutrosophic soft δ-ß-separation structures based on new idea of neutrosophic soft open sets called, neutrosophic soft δ-ß-open sets which is more general than of the neutrosophic soft open sets. This manuscript is devoted to obtaining some characterizations and essential properties concerning of neutrosophic soft δ-ß- T_i-spaces (i=0, 1, 2, 3, 4) as well the relationships among them. In addition, some relationships of neutrosophic soft δ-ß-separation structures with regard to neutrosophic soft points have been discussed. In addition, diverse suitable examples to support of our main results have been supplied.

Keywords: N_S-Sδ-ß-open sets, N_S-Sδ-ß-Neighbourhood, neutrosophic soft point. N_S-Sδ-ß-separation structures, N_S-S δß-T_i-spaces(  =0,…,4).