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Journals / New Trends in Mathematical Sciences / 2016 / Cilt: 4 Sayı: 2

Soft b−compact spaces

Alkan OZKAN
Metin AKDAG
Fethullah EROL
Pages
211–219
Publication Date
2016-03-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We characterize soft b-compact space and study some of their basic properties.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a new class of generalized soft open sets in soft generalized topological spaces as a generalization of compact spaces, called soft b-compact spaces, is introduced and studied.
📊
Key Findings & Data:A soft generalized topological space is soft b-compact if every soft b-open soft cover of FE contains a finite soft subcover.
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Conclusion & Impact:We characterize soft b-compact space and study some of their basic properties.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Soft b−compactness · soft b−closed spaces

Abstract

In this paper, a new class of generalized soft open sets in soft generalized topological spaces as a generalization of compact spaces, called soft b-compact spaces, is introduced and studied. A soft generalized topological space is soft b-compact if every soft b-open soft cover of FE contains a finite soft subcover. We characterize soft b-compact space and study some of their basic properties.

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Cite This Article

OZKAN, A., AKDAG, M., EROL, F. (2016). Soft b−compact spaces. New Trends in Mathematical Sciences, Cilt: 4 Sayı: 2, 211–219. https://ajindex.com/articles/1003857

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References (20)

  1. M. I. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Computer and Mathematics with Applications,57, 1547-1553, (2009).
  2. D. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37(4/5) 19-31, (1999).
  3. P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Computer and Math. with Appl., 555-562, (2003).
  4. M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl.,61, 1786-1799, (2011).
  5. B. Chen, Soft semi-open sets and related properties in soft topological spaces, Applied Mathematics & Information Sciences, 7(1), 287-294, (2013).
  6. M. Akdag and A. Ozkan, Soft a-open sets and soft a-continuous functions, Abstr. Anal. Appl. Art ID 891341, 1-7, (2014).
  7. M. Akdag and A. Ozkan, Soft b-open sets and soft b-continuous functions, Math Sci 8:124 DOI 10.1007/s40096-014-0124-7, (2014).
  8. S. Hussain and B. Ahmedi, Some properties of soft topological spaces, Neural Comput and Appl., 62, 4058-4067, (2011).
  9. A. Aygunoglu and H.Aygun, Some notes on soft topological spaces, Neural Comput and Applic., Neural Comput. and Applic, 21(1), 113-119, (2012).
  10. I. Arockiarani and A. A. Lancy, Generalized soft gb -closed sets and soft gsb -closed sets in soft topological spaces, International Journal Of Mathematical Archive, 4(2), 1-7, (2013).
  11. I. Zorlutuna, M. Akdag, W. K. Min and S. Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3(2), 171-185, (2012).
  12. S. M. Al-Salem, Soft regular generalized b-closed sets in soft topological spaces, Linear and Topological Algebra, 3(4), 195-204, (2014).
  13. B. Ahmad and A. Kharal, On fuzzy soft sets, Advances in Fuzzy Systems, 1-6, (2009).
  14. H. Aktas and N. Cagman, Soft sets and soft groups, Information Sciences, 1, 2726-2735, (2007).
  15. N. Cagman, F.Itak and S. Enginoglu, Fuzzy parameterized fuzzy soft set theory and its applications, Turkish Journal of Fuzzy Systems, 1, 21-35,(2010).
  16. N. Cagman and S. Enginoglu, Soft set theory and uniint decision making, European Journal of Operational Research, 207, 848-855, (2010).
  17. D. V. Kovkov, V. M. Kolbanov and D. A. Molodtsov, Soft sets theory-based optimization, Journal of Computer and Systems Sciences International, 46, 872-880, (2007).
  18. P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics, 9, 589-602, (2001).
  19. P. K. Maji, R. Biswas and A. R. Roy, Intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics, 9, 677-691, (2001).
  20. P. Majumdar and S. K. Samanta, Generalised fuzzy soft sets, Computers