Properties of soft ω-homeomorphisms in soft topological spaces
DOI:
https://doi.org/10.5269/bspm.62939Abstract
In this article, we define soft $\omega$-closed maps, soft $\omega$-open maps, soft $\omega$-irresolute maps, and soft $\omega$-homeomorphisms in soft topological spaces. We further study the properties of these maps with appropriate examples.
References
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2. Chen, B.(2013). Soft semi-open sets and related properties in soft topological spaces. Applied Mathematics and Informatics Sciences, 1(7), 287-294.
3. Ghour, S.A. and Saadon,A.B.(2019). On some generated soft topological spaces and soft homogeneity. Heliyon, 5(2019), 1-10.
4. Hussain, S. and Ahmad, B.(2011). Some properties of soft topological spaces.Computers and Mathematics with Applications, 62(2011),4058-4067.
5. Kalavathi,A.(2017). Studies on generalizations of soft closed sets and their operation approaches in soft topological spaces.Available from Faculty of Science and Humanities.Retrieved from http://hdl.handle.net/10603/232778.
6. Kandil,A.,Tantawy,O.A.E,Sheikh,S.A. and Latif, A.M.(2014). Soft semi separation axioms and some types of soft functions. Annals of fuzzy mathematics and informatics, 8(2), 305-318.
7. Kharal, A. and Ahmad, B. (2010). Mappings on Soft Classes. arXiv:1006.4940v1.
8. Maji, P.K. and Roy, A.R.(2002). An Application of soft sets in a decision making problem, Computers and Mathematics with Applications, 44(2002), 1077-1083.
9. Molodtsov, D.(1999). Soft set theory-First Results. Computers and Mathematics with Applications, 37(1999), 19-31.
10. Paul, N.R.(2015). Remarks on soft ω-closed sets in soft topological space. Bol. Soc. Paran. Mat., 33(2015), 183-192.
11. Rathee,S., Girdhar,R. and Dhingra, K.(2020). On Soft ω-interior and soft ω-closure in soft topological spaces. Journal of Interdisciplinary Mathematics, 23(6), 1223-1239.
12. Shabir, M. and Naz, M.(2011).On soft topological spaces.Computers and Mathematics with Applications, 61(2011), 1786-1799.
13. Sundaram, P. and John, M.S.(2000), On ω-closed set in topology. Acta Ciencia Indica, 4(2000), 389-392.
14. Wolfe, M.A.(2000), Interval Mathematics, algebraic equations and optimization, Journal of Computational and Applied Mathematics, 124(2000), 263-280.
15. Zadeh, L.A.(1965), Fuzzy sets, Inf. Control, 8(1965), 338-353.
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2025-08-25
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How to Cite
Girdhar, R., & Rathee, S. (2025). Properties of soft ω-homeomorphisms in soft topological spaces. Boletim Da Sociedade Paranaense De Matemática, 43, 1-15. https://doi.org/10.5269/bspm.62939
