Fuzzy Sβ - continuous and fuzzy Sβ - open mappings
DOI:
https://doi.org/10.22199/issn.0717-6279-5193Keywords:
fuzzy Sβ-open sets, fuzzy Sβ-continuous mappings, fuzzy Sβ-open mappings, fuzzy topologyAbstract
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.
References
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 University, vol. 12, pp. 77-90, 1983.
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, vol. 82, pp. 14-32, 1981.
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, 2013. [On line]. Available: https://bit.ly/3zuK6pg
A. Mukherjee and R. Dhar, “Weakly fuzzy δ-semi precontinuous mappings and weakly fuzzy δ-semi preirresolute mappings”, The Journal of Fuzzy Mathematics, vol. 18, no. 1, pp. 209-216, 2010.
A. Mukherjee and R. Dhar, “Fuzzy δ-semi preopen sets and weakly fuzzy δ-semi preopen functions”, Acta Ciencia Indica, Mathematics, vol. 35, no. 1, pp. 11-16, 2009.
P. M. Pu and Y. M. Liu, “Fuzzy topology. I. neighborhood structure of a fuzzy point and moore-smith convergence”, Journal of Mathematical Analysis and Applications, vol. 76, no. 2, pp. 571–599, 1980. https://doi.org/10.1016/0022-247x(80)90048-7
B. C. Tripathy and G. C. Ray, “Fuzzy δ∗-almost continuous and fuzzy δ∗-continuous functions in mixed fuzzy ideal topological spaces”, Proyecciones (Antofagasta), vol. 39, no. 2, pp. 435–449, 2020. https://doi.org/10.22199/issn.0717-6279-2020-02-0027
B. C. Tripathy and G. C. Ray, “On δ-continuity in mixed fuzzy topological spaces,” Boletim da Sociedade Paranaense de Matemática, vol. 32, no. 2, pp. 175–187, 2014. https://doi.org/10.5269/bspm.v32i2.20254
B. C. Tripathy and G. C. Ray, “Weakly continuous functions on mixed fuzzy topological spaces,” Acta Scientiarum. Technology, vol. 36, no. 2, pp. 331–335, 2014. https://doi.org/10.4025/actascitechnol.v36i2.16241
L. A. Zadeh, “Fuzzy sets”, Information and Control, vol. 8, pp. 338-353, 1965.
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