New results in fuzzy soft bitopological spaces via (1,2)-fuzzy soft pre-open sets
*Ameer Al-AbayechibCorresponding authorameerm.hasan@uokufa.edu.iqDepartment of MathematicsFaculty of Computer Science and MathematicsUniversity of KufaNajaf, IraqView full profile → , Haneen Al-Janabihaneenk.aljanabi@uokufa.edu.iqDepartment of MathematicsFaculty of Computer Science and MathematicsUniversity of KufaNajaf, IraqView full profile → , Heyam Kh. Hassan Alkhayyathiyamk.hasan@uokufa.edu.iqDepartment of MathematicsFaculty of Computer Science and MathematicsUniversity of KufaNajaf, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 11 Dec 2024
- Published Online:
- 08 May 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2205
- Pages:
- 1161–1172
Abstract
Keywords
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References
[1] P. Mukherjee and C. Park, “on fuzzy soft bitopological spaces” Math. Comp. Sci. J. Vol. 10, No. 7, pp. 1-8 (2015).
[2] D. Molodtsov, “Soft set theory—first results,” Computers & Mathematics with Applications, vol. 37, no. 4-5, pp. 19-31 (1999).
[3] M. Shabir and M. Naz, “On soft topological spaces,” Computers & Mathematics with Applications, vol. 61, no. 7, pp. 1786-1799 (2011).
[4] P. K. Maji, R. Biswas and A. Roy, “Fuzzy soft sets,” J. Fuzzy Math, vol. 9 (2001).
[5] B. Tanay and M. B. Kandemir, “Topological structure of fuzzy soft sets,” Computers & Mathematics with Applications, vol. 61, no. 10, pp. 2952-2957 (2011).
[6] S. Atmaca and I. Zorlutuna, “On fuzzy soft topological spaces,” Ann. Fuzzy Math. Inform, vol. 5, no. 2, pp. 377-386 (2013).
[7] I. S. Ahmed and H. H. Ebrahim, “On measure relatively to fuzzy σ-algebra,” J. Phys. Conf. Ser., vol. 2322, no. 1 (2022), doi: 10.1088/1742-6596/2322/1/012020.
[8] B. P. Varol and H. Aygün, “Fuzzy soft topology,” Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 3, pp. 407-419 (2012).
[9] S. Roy and T. Samanta, “A note on fuzzy soft topological spaces,” Ann. Fuzzy Math. Inform, vol. 3, no. 2, pp. 305-311 (2012).
[10] Z. Li and R. Cui, “On the topological structure of intuitionistic fuzzy soft sets,” Annals of Fuzzy Mathematics and Informatics, vol. 5, no. 1, pp. 229–239 (2013).
[11] C.-M. Hu, “Fuzzy topological spaces,” Journal of Mathematical Analysis and Applications, vol. 110, pp. 141–178 (1985).
[12] S. M. Kadham, H. R. Noori, S. H. Al-Rubaye, A. M. Al-Khafaji, and K. F. Atroshi, “Comparison between fuzzy partial H-transform and fuzzy partial Laplace transform in X-ray images processing of acute interstitial pneumonia,” International Journal of System Assurance Engineering and Management, pp. 1–9 (2023).
[13] A. F. Sayed, “On fuzzy soft b-open sets in fuzzy soft bitopological space,” Journal of Mathematics and Computer Science, vol. 21, no. 1, pp. 31-44 (2020).
[14] S. M. Kadham and A. N. Alkiffai, “Generalization of fuzzy SHA-transform with medical application,” Math. Model. Eng. Probl., vol. 9, no. 5, pp. 1343–1350 (2022).
[15] A. F. Sayed, “Some separation axioms in fuzzy soft bitopological space,” Journal of Mathematics and Computer Science, vol. 8, No. 1, pp. 28-45 (2018).
