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    ARTICLE

    On Single Valued Neutrosophic Regularity Spaces

    Yaser Saber1,2, Fahad Alsharari1,6,*, Florentin Smarandache3, Mohammed Abdel-Sattar4,5

    CMES-Computer Modeling in Engineering & Sciences, Vol.130, No.3, pp. 1625-1648, 2022, DOI:10.32604/cmes.2022.017782

    Abstract This article aims to present new terms of single-valued neutrosophic notions in the Šostak sense, known as single-valued neutrosophic regularity spaces. Concepts such as r-single-valued neutrosophic semi £-open, r-single-valued neutrosophic pre-£-open, r-single valued neutrosophic regular-£-open and r-single valued neutrosophic α£-open are defined and their properties are studied as well as the relationship between them. Moreover, we introduce the concept of r-single valued neutrosophic θ£-cluster point and r-single-valued neutrosophic γ £-cluster point, r-θ£-closed, and θ£-closure operators and study some of their properties. Also, we present and investigate the notions of r-single-valued neutrosophic θ£-connectedness and r-single valued neutrosophic δ£-connectedness and investigate relationship… More >

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