New Concepts in Partner Multineutrosophic Topological Space

Tuqa A. H. Al-Tamimi^1*, Luay A. A. Al-Swidi², Ali H. M. Al-Obaidi³

^{1, 2, 3} Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq.

Emails: tuqa.hasan.pure442@student.uobabylon.edu.iq; pure.leal.abd@uobabylon.edu.iq; aalobaidi@uobabylon.edu.iq

*Correspondence: tuqa.hasan.pure442@student.uobabylon.edu.iq

Abstract

We have new introduced two fundamental new concept that characterize partner multineutrosophic sets, the first of which we call the locally partner multineutrosophic interior and the second the locally partner fuzzy exterior, in addition to a concept related to set composition that we call detachable set, with the most important relationships to which these concept are linked and the properties that we have reached with an analytical view of them.

Keyword: Partner multineutrosophic sets; Locally partner multineutrosophic interior and exterior set; detachable set.