New weak open set in soft topological space with an ideal
*Mahmood WaleedCorresponding authormahmoud.shokr2203@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Sciences (Ibn Al-Haitham)Baghdad UniversityBaghdad, IraqView full profile → , Rana B. Esmaeelrana.b.i@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Sciences (Ibn Al-Haitham)Baghdad UniversityBaghdad, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 04 Feb 2025
- Published Online:
- 08 May 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2218
- Pages:
- 1277–1289
Abstract
Keywords
Subject Classifications
References
[1] D. A. Molodtsov, “Soft set theory—first results,” Computers & Mathematics with Applications, vol. 37, pp. 19–31 (1999).
[2] A. A. Hammood and R. B. Esmaeel, “On Soft Pre-Generalized-Closed Sets with New near Soft function,” in Journal of Physics: Conference Series, vol. 1897, no. 1, p. 012032 (2021).
[3] R. J. Mohammad and R. B. Esmaeel, “On Separation Axioms With Soft-J-Semi-g-Open Sets,” in IOP Conference Series: Materials Science and Engineering, vol. 871, no. 1, p. 012052 (2020).
[4] A. M. Abd El-latif, “Supra soft topological spaces,” Jökull Journal, vol. 8, no. 4, pp. 1731–1740 (2014).
[5] B. Ahmad and A. Kharal, “Mapping of soft classes,” Mathematical and Natural Computing, vol. 7, no. 3, pp. 471–481 (2011).
[6] M. I. Ali, F. Feng, X. W. K. Liu, and M. Shaber, “On some new operations in soft set theory,” Computers & Mathematics with Applications, vol. 57, no. 9, pp. 1547–1553 (2009).
[7] K. V. Babita and J. J. Sunil, “Soft set relations and functions,” Computers & Mathematics with Applications, vol. 60, no. 7, pp. 1840–1849 (2010).
[8] N. Çağman, S. Karataş, and S. Enginoğlu, “Soft topology,” Computers & Mathematics with Applications, vol. 62, pp. 351–358 (2011).
[9] S. A. El-Sheikh and A. M. Abd El-latif, “Decompositions of some types of supra soft sets and soft continuity,” International Journal of Mathematical Trends and Technology, vol. 9, no. 1, pp. 37–56 (2014).
[10] T. H. Majeed, “Some types of topological groupoids and their action,” in American Institute of Physics Conference Series, vol. 2834, no. 1, p. 080121 (2023).
[11] H. Hazra, P. Majumdar, and S. K. Samanta, “Soft topology,” Fuzzy Information and Engineering, vol. 4, no. 1, pp. 105–115 (2012).
[12] S. Hussain and B. Ahmad, “Some properties of soft topological spaces,” Computers & Mathematics with Applications, vol. 62, pp. 4058–4067 (2011).
[13] A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh, and A. M. Abd El-latif, “Soft ideal theory, soft local function and generated soft topological spaces,” Applied Mathematics & Information Sciences, vol. 8, no. 4, pp. 1595–1603 (2014).
[14] A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh, and A. M. Abd El-latif, “γ-operation and decompositions of some forms of soft continuity in soft topological spaces,” Applied and Fundamental Mathematics and Informatics (AFMI), vol. 7, pp. 181–196 (2014).
[15] P. K. Maji, R. Biswas, and A. R. Roy, “Soft set theory,” Computers & Mathematics with Applications, vol. 45, pp. 555–562 (2003).
[16] T. H. Majeed, “On some results of topological groupoid,” in Journal of Physics: Conference Series, vol. 1003, no. 1, p. 012067 (2018).
[17] H. I. Mustafa and F. M. Sleim, “Soft generalized closed sets with respect to an ideal in soft topological spaces,” Applied Mathematics & Information Systems, vol. 8, no. 2, pp. 665–671 (2014).
[18] M. Shabir and M. Naz, “On soft topological spaces,” Computers & Mathematics with Applications, vol. 57, pp. 1786–1799 (2011).
[19] J. Subhashini and C. Sekar, “On soft pre generalized closed sets in soft topological spaces,” International Journal of Engineering Trends and Technology, vol. 12 (2014).
[20] I. Zorlutuna, M. Akdağ, W. K. Min, and S. Atmaca, “Remark on soft topological spaces,” Annals of Fuzzy Mathematics and Informatics, vol. 3, no. 2, pp. 171–181 (2012).
[21] S. I. Mahmood, “On weakly soft omega open functions and weakly soft omega closed functions in soft topological spaces,” Iraqi Journal of Science, pp. 1094–1106 (2017).
[22] A. J. Bidaiwi and N. A. Dawood, “Soft strongly generalized mapping with respect to an ideal in soft topological space,” Ibn Al-Haitham Journal for Pure and Applied Science, vol. 28, no. 2, pp. 171–183 (2017).
[23] S. I. Mahmood and A. A. Abdul-Hady, “Weak forms of soft (1,2)*-omega open sets in soft bitopological spaces,” Iraqi Journal of Science, pp. 572–580 (2018).
[24] R. B. Esmaeel, “Certain types of soft sets in the games theory,” Iraqi Journal of Science (2025).
