Fuzzy Sᵦ-compactness and fuzzy Sᵦ-closed spaces

Author:

Dhar RunuORCID

Abstract

The aim of this paper is to introduce the notion of fuzzy Sβ -compactness. Some of the basic properties and characterization theorems would be investigated of this newly defined compactness in fuzzy setting. We would also introduce and study fuzzy Sβ - closed spaces.

Publisher

Universidad Catolica del Norte - Chile

Subject

General Mathematics

Reference22 articles.

1. [1] M. E. Abd El-Monsef, S.N. El-Deeb and R. A. Mahmoud,"β-open sets and β-continuous mappings", Bull. Fac. Sci., Assiut Univ., vol. 12, pp. 77-90, 1983.

2. [2] M. E. Abd El-Monsef, A. M. Kozae, "Some generalized forms of compactness and closedness", Delta Journal of Science, vol. 9, no. 2, pp. 257-269, 1985.

3. [3] F. Alla, On fuzzy topological spaces, Ph. D. Thesis, Assiut Univ., Sohag, Egypt, 1984.

4. [4] G. Balasubramanian, "On fuzzy β-compact spaces and fuzzy β-extremally disconnected spaces", Kybernetika [cybernetics], vol. 33, no. 3, pp. 271-277, 1997.

5. [5] B. Bhattacharya, J. Chakraborty and A. Paul, "γ∗-Hyperconnectedness in fuzzy topological spaces", The Journal of Analysis, Vol. 28, pp. 9-19, 2020.

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