Soft Computing

, Volume 21, Issue 10, pp 2553–2559 | Cite as

On soft weak structures

Foundations

Abstract

This paper takes some investigations on soft weak structures which are a generalization of weak structures and soft topological spaces with some separation axioms and compactness. Also, we give a systematic discussion on the relationship among these notions.

Keywords

Soft set Soft weak structure 

References

  1. Al-Omari A, Noiri T (2012) A unified theory of generalized closed sets in weak structures. Acta Math Hung 135(1–2):174–183MathSciNetCrossRefMATHGoogle Scholar
  2. Cagman N, Karatas S, Enginoglu S (2011) Soft topology. Comput Math Appl 62:351–358MathSciNetCrossRefMATHGoogle Scholar
  3. Császár A (1997) Generalized open sets. Acta Math Hung 75:65–87Google Scholar
  4. Császár A (2002) Generalized topology, generized continuity. Acta Math Hung 96(4):351–357CrossRefMATHGoogle Scholar
  5. Császár A (2005) Generalized open sets in generalized topologies. Acta Math Hung 106(1–2):53–66MathSciNetMATHGoogle Scholar
  6. Császár A (2006) Further remarks on the formula for \(\gamma \)-interior. Acta Math Hung 113(4):325–332MathSciNetCrossRefMATHGoogle Scholar
  7. Császár A (2007) Modification of generalized topologies via hereditary classes. Acta Math Hung 115:29–36MathSciNetCrossRefMATHGoogle Scholar
  8. Császár A (2008) Remarks on quasi-topologies. Acta Math Hung 119(1–2):197–200MathSciNetCrossRefMATHGoogle Scholar
  9. Császár A (2011) Weak structures. Acta Math Hung 131:193–195MathSciNetCrossRefMATHGoogle Scholar
  10. Ghareeb A, Khalaf MM. (2015) On weak structures. Analele Universitǎtii Oradea, Fasc. Matematica Tom XXII(1):129–134Google Scholar
  11. Güldürdek A (2012) Weak structures and \(p\)-stacks. J Adv Stud Topol 3(4):69–73MathSciNetCrossRefMATHGoogle Scholar
  12. Hassan OK, Ghareeb A (2015) Spatial object modeling in soft topology. Songklanakarin J Sci Technol 37(4):493–498Google Scholar
  13. Husain S, Ahmad B (2012) Some properties of soft topological spaces. Comput Math Appl 62:4058–4067MathSciNetCrossRefMATHGoogle Scholar
  14. Min KW (2011) A note on soft topological spaces. Comput Math Appl 62:3524–3528MathSciNetCrossRefMATHGoogle Scholar
  15. Molodtsov D (1999) Soft set theory-first results. Comput Math Appl 37:19–31MathSciNetCrossRefMATHGoogle Scholar
  16. Navaneethakrishnan M, Thamaraiselvi S (2012) On weak structures of Császár. Acta Math Hung 137(3):224–229CrossRefMATHGoogle Scholar
  17. Navaneethakrishnan M, Thamaraiselvi S (2013) On some subsets defined with respect to weak structures. Acta Math Hung 139(1–2):11–18MathSciNetCrossRefMATHGoogle Scholar
  18. Nazmul SK, Samanta SK (2013) Neighbourhood properties of soft topological spaces. Ann Fuzzy Math Inform 6:1–15MathSciNetMATHGoogle Scholar
  19. Roy S, Samanta TK (2011) An introduction of a soft topological spaces. In: Proceeding of UGC sponsored national seminar on recent trends in fuzzy set theory, rough set theory and soft set theory at Uluberia College on 23rd and 24th September, pp 9–12Google Scholar
  20. Shabir M, Naz M (2011) On soft topological spaces. Comput Math Appl 61:1786–1799MathSciNetCrossRefMATHGoogle Scholar
  21. Varol BP, Aygün H (2013) On soft Hausdorff spaces. Ann Fuzzy Math Inform 5:15–24MathSciNetMATHGoogle Scholar
  22. Zahran AM, El-Saady K, Ghareeb A (2012) Modification of weak structures via hereditary classes. Appl Math Lett 25(5):869–872MathSciNetCrossRefMATHGoogle Scholar
  23. Zorlutuna I, Akdaǧ M, Min WK, Atmaca S (2012) Remarks on soft topological spaces. Ann Fuzzy Math Inform 3:171–185MathSciNetMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceJazan UniversityJazanSaudi Arabia
  2. 2.Department of Mathematics, Faculty of ScienceSouth Valley UniversityQenaEgypt
  3. 3.Department of Mathematics, Faculty of ScienceTaif UniversityHawaiSaudi Arabia

Personalised recommendations