Fuzzy Sᵦ-compactness and fuzzy Sᵦ-closed spaces

• Dhar, Runu ^[1]
  1. [1] Maharaja Bir Bikram Univesity.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 6, 2023, págs. 1583-1596
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5838
• Enlaces
  • Texto completo
• Resumen

  • 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.

• Referencias bibliográficas
  • 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,...
  • 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,...
  • F. Alla, On fuzzy topological spaces, Ph. D. Thesis, Assiut Univ., Sohag, Egypt, 1984.
  • G. Balasubramanian, “On fuzzy β-compact spaces and fuzzy β-extremally disconnected spaces”, Kybernetika [cybernetics], vol. 33, no. 3, pp....
  • B. Bhattacharya, J. Chakraborty and A. Paul, “γ∗-Hyperconnectedness in fuzzy topological spaces”, The Journal of Analysis, Vol. 28, pp. 9-19,...
  • C. L. Chang, “Fuzzy topological spaces”, J. Math. Anal. Appl., Vol. 24, pp. 182-190, 1968.
  • D. Coker and A. Haydar Es, “On fuzzy S - closed spaces”, Doga Tu J. Math., pp. 145-152, 1987.
  • R. Dhar, “Some pairwise weakly fuzzy mappings”, Proyecciones (Antofagasta, On line), Vol. 38, No. 4, pp. 707-717, 2019.
  • R. Dhar, “Fuzzy Sβ-open sets and fuzzy Sβ-operations”, Acta Ciencia Indica, vol. 47, no. 1-4, pp. 57-66, 2021.
  • R. Dhar, “Continuity in fuzzy bitopological ordered spaces”, Proyecciones (Antofagasta, On line), vol. 40, no. 3, pp. 681-696, 2021.
  • R. Dhar, “Fuzzy Sβ - continuous and fuzzy Sβ - open mappings”, Proyecciones (Antofagasta, On line), vol. 41, no. 4, pp. 891-902, 2022.
  • A. Dutta and B. C. Tripathy, “On fuzzy b − θ - open sets in fuzzy topological space”, Journal of Intelligent and Fuzzy Systems, vol. 32, no....
  • S. Ganguly and S. Saha, “A note on compactness in fuzzy setting”, Fuzzy Sets and Systems, vol. 34, pp. 117-124, 1990.
  • I. M. Hanafy, “Fuzzy β- compactness and fuzzy β- closed spaces”, Turk Journal of Mathematics, Vol. 28, pp. 281-293, 2004.
  • A. B. Khalaf and N. K. Ahmed, “Sβ-open sets and Sβ-continuity in topological spaces”, Thai Journal of Mathematics, vol. 11, no. 2, pp. 319-335,...
  • P. M. Pu and Y. M. Liu, “Fuzzy topology. I. neighborhood structure of a fuzzy point and moore-smith convergence”, Journal of Mathematical...
  • B. C. Tripathy and S. Debnath, “γ-open sets and γ-continuous mappings in fuzzy bitopological spaces”, Journal of Intelligent and Fuzzy Systems,...
  • B. C. Tripathy and G. C. Ray, “Mixed fuzzy ideal topological spaces” Applied Mathematics and Computations, vol. 220, pp. 602-607, 2013.
  • B. C. Tripathy and G. C. Ray, “Weakly continuous functions on mixed fuzzy topological spaces”, Act Scientiarum Technology, vol. 36, no. 2,...
  • B. C. Tripathy and S. Debnath, “On fuzzy b - locally open sets in bitopological spaces”, Songklanakarin Journal of Science and Technology,...
  • T. H. Yalvac, “Fuzzy sets and functions on fuzzy topological spaces” Journal of Mathematical Analysis and Applications, Vol. 126, pp. 409-423,...
  • L. A. Zadeh, “Fuzzy sets”, Information and Control, vol. 8, pp. 338-353, 1965.