Some Properties of Soft &lt;i&gt;β&lt;/i&gt;-Connected Spaces in Soft Topological Spaces

Real-life structures always include indeterminacy. The Mathematical tool which is well-known in dealing with indeterminacy is Neutrosophic. Smarandache proposed the approach of Neutrosophic sets. Neutrosophic sets deal with uncertain data. The notion of Neutrosophic set is generally referred to as the generalization of intuitionistic fuzzy set. In 2022, S. Pious Missier, A. Anusuya and J. Martina Jency introduced and studied the concepts of Neutrosophic generalized regular star closed   eu closed *-N gr sets and Neutrosic generalized regular star   eu open *-N gr sets in Neutrosophic topological spaces and studied some of their properties and characterizations as well as analyzed the relationships between these newly introduced sets and the already existing neutrosophic sets. In this paper, we introduce the notions of eu compact spaces, *-N gr eu Lindelof *-N gr space, countably eu compact *-N gr spaces, eu connected *-N gr spaces, eu spaces, strongly egular eu *-NR gr spaces, eu *-N gr N orm al spaces, and strongly eu *-N gr N orm al spaces by using open eu *-N gr sets and closed eu *-N gr sets in Neutrosophic topological spaces. We study the basic properties and fundamental characteristics of these spaces in Neutrosophic topological spaces.

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Neutrosophic Generalized Semi Alpha Star Compact, Connected, Regular and Normal Spaces in Topological Spaces

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2022

International Journal of Pure Mathematics

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Real-life structures always include indeterminacy. The Mathematical tool which is well known in dealing with indeterminacy is Neutrosophic. Smarandache proposed the approach of Neutrosophic sets. Neutrosophic sets deal with uncertain data. The notion of Neutrosophic set is generally referred to as the generalization of intuitionistic fuzzy set. In 2021, P. Anbarasi Rodrigo and S. Maheswari introduced new concepts of Neutrosophic closed sets namely Neutrosophic generalized semi alpha star closed   eu briefly N gsα*-closed sets and eu N gsα*-open sets as well as eu N gsα*-continuity in Neutrosophic topological spaces and studied their some properties. In this chapter, we introduce the notions of eu N gsα*-compact spaces, eu N gsα*-Lindelof space, countably eu N gsα*-compact spaces, eu N gsα*-connected spaces, eu N gsα*-cseparated sets, eu N -Super-gsα*-connected spaces, eu N -Extrem ely-gsα*-disconnected spaces, and eu N -Strongly-gsα*-connected spaces, eu N gsα*-R egular spaces, strongly eu N gsα*-R egular spaces, eu N gsα*-Normal spaces, and strongly eu N gsα*-Normal spaces by using eu N gsα*-open sets and eu N gsα*-closed sets in Neutrosophic topological spaces. We study their basic properties and fundaments characteristics of these spaces in Neurosophic topological spaces.

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Some Properties of Soft <i>β</i>-Connected Spaces in Soft Topological Spaces

Cited by 3 publications

References 19 publications

A note on fuzzy binary soft separation axioms

A note on fuzzy binary soft separation axioms

Neutrosophic Generalized Regular Star Compact, Connected, Regular and Normal Topological Spaces

Neutrosophic Generalized Semi Alpha Star Compact, Connected, Regular and Normal Spaces in Topological Spaces

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