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On single valued neutrosophic Regularity Spaces

Computer Modeling in Engineering & Sciences 2022年第3期130卷 1625-1648页

作者： Yaser Saber Fahad Alsharari Florentin Smarandache Mohammed Abdel-Sattar Department of Mathematics College of Science and Human StudiesHotat SudairMajmaah UniversityMajmaah11952Saudi Arabia Department of Mathematics Faculty of ScienceAl-Azhar UniversityAssiut71524Egypt Department of Mathematics University of New MexicoGallupNM87301USA Department of Mathematics College of Science and Arts King Khaled UniversityMhayal Asier61913Saudi Arabia Department of Mathematics and Computer Science Faculty of ScienceBeni-Suef UniversityBeni-Suef62511Egypt Department of Mathematics College of Science and ArtsJouf UniversityGurayat77455Saudi Arabia

This article aims to present new terms of single-valued neutrosophic notions in theˇSostak sense,known as singlevalued neutrosophic regularity *** such as r-single-valued neutrosophic semi￡-open,r-single-valued neutrosophic pre-￡-open,r-single valued neutrosophic regular-￡-open and r-single valued neutrosophicα￡-open are defined and their properties are studied as well as the relationship between ***,we introduce the concept of r-single valued neutrosophicθ￡-cluster point and r-single-valued neutrosophicγ￡-cluster point,r-θ￡-closed,andθ￡-closure operators and study some of their ***,we present and investigate the notions of r-single-valued neutrosophicθ￡-connectedness and r-single valued neutrosophicδ￡-connectedness and investigate relationship with single-valued neutrosophic almost￡-*** compare all these forms of connectedness and investigate their properties in single-valued neutrosophic semiregular and single-valued neutrosophic almost regular in neutrosophic ideal topological spaces inˇSostak *** usefulness of these concepts are incorporated to multiple attribute groups of comparison within the connectedness and separateness ofθ￡andδ￡.

关键词： single valued neutrosophicθ￡-closed single valued neutrosophicθ￡-separated single valued neutrosophicδ￡-separated single-valued neutrosophicδ￡-connected single valued neutrosophicδ￡-connected single valued neutrosophic almost￡-egular

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