Soft bi-continuity and related soft functions

Volume 30, Issue 1, pp 19--29 https://doi.org/10.22436/jmcs.030.01.03

Publication Date: November 25, 2022 Submission Date: August 16, 2022 Revision Date: September 02, 2022 Accteptance Date: September 06, 2022

Download PDF

Download XML

• Export citations
  • CITATIONS & REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • ARTICLE CITATION
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)

• 633 Downloads
• 1728 Views

Authors

T. M. Al-shami - Department of Mathematics, Sana'a University, P.O.Box 1247 Sana'a, Yemen. - Future University, New Cairo, Egypt. Z. A. Ameen - Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq. B. A. Asaad - Department of Mathematics, Faculty of Science, University of Zakho, Zakho 42002, Iraq. - Department of Computer Science, College of Science, Cihan University-Duhok, Iraq. A. Mhemdi - Department of Mathematics, College of Sciences and Humanities in Aflaj, Prince Sattam bin Abdulaziz University, Riyadh, Saudi Arabia.

Abstract

In this article, we start with some properties of several types of soft continuous and soft open functions. We primarily focus on studying soft continuous (soft open) and soft irresolute (soft anti-irresolute) functions. We show that soft continuous and soft irresolute functions are independent and correspondingly soft open and soft anti-irresolute functions. On the other hand, soft bi-continuity implies soft bi-irresoluteness but not the other way round. Moreover, we find conditions under which soft bi-irresoluteness and soft bi-continuity are similar.

Share and Cite

Keywords

• Soft continuous
• soft somewhat open
• soft semiopen

MSC

•  54C08
•  54C10

References

• [1] J. C. R. Alcantud, T. M. Al-shami, A. A. Azzam, Caliber and chain conditions in soft topologies, Mathematics, 9 (2021), 15 pages
  • View Article
  • Google Scholar


• [2] S. Al-Ghour, Z. A. Ameen, Maximal soft compact and maximal soft connected topologies, Appl. Comput. Intell. Soft Comput., 2022 (2022), 7 pages
  • View Article
  • Google Scholar


• [3] T. M. Al-shami, Soft somewhere dense sets on soft topological spaces, Commun. Korean Math. Soc., 33 (2018), 1341– 1356
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [4] T. M. Al-shami, Comments on some results related to soft separation axioms, Afr. Mat., 31 (2020), 1105–1119
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [5] T. M. Al-shami, Soft somewhat open sets: Soft separation axioms and medical application to nutrition, Comput. Appl. Math., 41 (2022), 22 pages
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [6] T. M. Al-shami, I. Alshammari, B. A. Asaad, Soft maps via soft somewhere dense sets, Filomat, 34 (2020), 3429–3440
  • View Article
  • Google Scholar
  • MATH


• [7] T. M. Al-shami, Z. A. Ameen, A. A. Azzam, M. E. El-Shafei, Soft separation axioms via soft topological operators, AIMS Math., 7 (2022), 15107–15119
  • View Article
  • MathSciNet
  • Google Scholar


• [8] T. M. Al-shami, L. D. R. Koˇcinac, The equivalence between the enriched and extended soft topologies, Appl. Comput. Math., 18 (2019), 149–162
  • View Article
  • Google Scholar
  • MATH


• [9] M. I. Ali, F. Feng, X. Liu, W. K. Min, M. Shabir, On some new operations in soft set theory, Comput. Math. Appl., 57 (2009), 1547–1553
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [10] A. A. Allam, T. H. Ismail, R. A. Mohammed, A new approach to soft belonging, Ann. Fuzzy Math. Inform., 13 (2017), 145–152
  • View Article
  • Google Scholar
  • MATH


• [11] Z. A. Ameen, S. Al Ghour, Extensions of soft topologies, Filomat, (2022),
  • View Article
  • MathSciNet
  • Google Scholar


• [12] Z. A. Ameen, T. M. Al-shami, B. A. Asaad, Further properties of soft somewhere dense continuous functions and soft Baire spaces, , (submitted 2021),


• [13] Z. A. Ameen, B. A. Asaad, T. M. Al-shami, Soft somewhat continuous and soft somewhat open functions, TWMS J. Pure Appl. Math., (2021),
  • View Article
  • Google Scholar


• [14] Z. A. Ameen, T. M. Al-shami, A. Mhemdi, M.E. El-Shafei, The role of soft -topological operators in characterizing various soft separation axioms, J. Math., 2022 (2022), 7 pages
  • View Article
  • MathSciNet
  • Google Scholar


• [15] B. A. Asaad, T. M. Al-shami, Z. A. Ameen, On soft somewhere dense open functions and soft Baire spaces, To appear in Iraqi Journal of Science, (2022),


• [16] A. Ayg¨uno˘ glu, H. Ayg¨ un, Some notes on soft topological spaces, Neural. Comput. Appl., 21 (2012), 113–119
  • View Article
  • Google Scholar


• [17] A. A. Azzam, Z. A. Ameen, T. M. Al-shami, M. E. El-Shafei, Generating soft topologies via soft set operators, Symmetry, 14 (2022), 1–14
  • View Article
  • Google Scholar


• [18] S. Bayramov, C. G. Aras, Soft locally compact spaces and soft paracompact spaces, J. Math. Syst. Sci., 3 (2013), 122–130
  • View Article
  • Google Scholar


• [19] S. Bayramov, C. G. Aras, A new approach to separability and compactness in soft topological spaces, TWMS J. Pure Appl. Math., 9 (2018), 82–93
  • View Article
  • Google Scholar
  • MATH


• [20] N. C¸ a˘gman, S. Karatas¸, S. Enginoglu, Soft topology, Comput. Math. Appl., 62 (2011), 351–358
  • View Article
  • MathSciNet
  • Google Scholar


• [21] B. Chen, Soft semi-open sets and related properties in soft topological spaces, Appl. Math. Inf. Sci., 7 (2013), 287–294
  • View Article
  • MathSciNet
  • Google Scholar


• [22] S. Das, S. K. Samanta, Soft metric, Ann. Fuzzy Math. Inform., 6 (2013), 77–94
  • View Article
  • Google Scholar
  • MATH


• [23] M. E. El-Shafei, M. Abo-Elhamayel, T. M. Al-shami, Partial soft separation axioms and soft compact spaces, Filomat, 32 (2018), 4755–4771
  • View Article
  • MathSciNet
  • Google Scholar


• [24] T. Hida, A comparision of two formulations of soft compactness, Ann. Fuzzy Math. Inform., 8 (2014), 511–525
  • View Article
  • Google Scholar


• [25] S. Hussain, B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl., 62 (2011), 4058–4067
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [26] S. A. Jubair, On soft function in soft topological spaces, Master’s thesis, College of College of Computer of sciences & Mathematics, Al-Qadisiyah University, (2016),
  • View Article


• [27] A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh, A. M. Abd El-latif, Soft semi separation axioms and some types of soft functions, Ann. Fuzzy Math. Inform., 8 (2014), 305–318
  • View Article
  • Google Scholar
  • MATH


• [28] A. Kharal, B. Ahmad, Mappings on soft classes, New Math. Nat. Comput., 7 (2011), 471–481
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [29] J. Mahanta, P. K. Das, On soft topological space via semiopen and semiclosed soft sets, Kyungpook Math. J., 54 (2014), 221–236
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [30] P. K. Maji, R. Biswas, A. R. Roy, Soft set theory, Comput. Math. Appl., 45 (2003), 555–562
  • View Article
  • MathSciNet
  • Google Scholar


• [31] D. Molodtsov, Soft set theory—first results, Soft set theory—first results, 37 (1999), 19–31
  • View Article
  • MathSciNet
  • Google Scholar


• [32] Sk. Nazmul, S. K. Samanta, Neighbourhood properties of soft topological spaces, Ann. Fuzzy Math. Inform., 6 (2013), 1–15
  • View Article
  • Google Scholar


• [33] M. Shabir, M. Naz, On soft topological spaces, Comput. Math. Appl., 61 (2011), 1786–1799
  • View Article
  • MathSciNet
  • Google Scholar


• [34] Y. Yumak, A. K. Kaymakci, Soft -open sets and their applications, J. New Theory, 4 (2015), 80–89
  • View Article
  • Google Scholar