Fuzzy Sβ - continuous and fuzzy Sβ - open mappings

• Dhar, Runu ^[1]
  1. [1] Maharaja Bir Bikram University.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 4, 2022, págs. 891-902
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5193
• Enlaces
  • Texto completo
• Resumen

  • The goal of this paper is to introduce the notion of fuzzy mappings, known as fuzzy Sβ - continuous mappings. Some of their basic properties and characterization theorems would be investigated in fuzzy topological spaces. The notion of fuzzy Sβ - open mappings would be introduced and some of their characterization theorems and basic properties would also to be studied in fuzzy topological spaces.

• Referencias bibliográficas
  • M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud, “β-open sets and β-continuous mappings”, Bulletin of the Faculty of Science. Assiut...
  • Fath Alla, “On fuzzy topological spaces”, Ph. D. Thesis, Assiut University, Sohag, Egypt, 1984.
  • K. K. Azad, “Fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity”, Journal of Mathematical Analysis and Applications,...
  • C. L. Chang, “Fuzzy topological spaces”, Journal of Mathematical Analysis and Applications, vol. 24, pp. 182-190, 1968.
  • 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), vol. 40, no. 3, pp. 681–696, 2021. https://doi.org/10.22199/issn.0717-6279-4386
  • R. Dhar, “Some pairwise weakly fuzzy mappings”, Proyecciones (Antofagasta), vol. 38, no. 4, pp. 707–717, 2019. https://doi.org/10.22199/issn.0717-6279-2019-04-0046
  • 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,...
  • A. Mukherjee and R. Dhar, “Weakly fuzzy δ-semi precontinuous mappings and weakly fuzzy δ-semi preirresolute mappings”, The Journal of Fuzzy...
  • A. Mukherjee and R. Dhar, “Fuzzy δ-semi preopen sets and weakly fuzzy δ-semi preopen functions”, Acta Ciencia Indica, Mathematics, vol. 35,...
  • 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 G. C. Ray, “Fuzzy δ∗-almost continuous and fuzzy δ∗-continuous functions in mixed fuzzy ideal topological spaces”, Proyecciones...
  • B. C. Tripathy and G. C. Ray, “On δ-continuity in mixed fuzzy topological spaces,” Boletim da Sociedade Paranaense de Matemática, vol. 32,...
  • B. C. Tripathy and G. C. Ray, “Weakly continuous functions on mixed fuzzy topological spaces,” Acta Scientiarum. Technology, vol. 36, no....
  • L. A. Zadeh, “Fuzzy sets”, Information and Control, vol. 8, pp. 338-353, 1965.