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Soft b−compact spaces

Yıl 2016, Cilt: 4 Sayı: 2, 211 - 219, 01.03.2016

Alkan Ozkan Metin Akdag Fethullah Erol

Öz



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.




Anahtar Kelimeler

Soft b−compactness soft b−closed spaces

Kaynakça

  • 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).
  • D. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37(4/5) 19-31, (1999).
  • P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Computer and Math. with Appl., 555-562, (2003).
  • M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl.,61, 1786-1799, (2011).
  • B. Chen, Soft semi-open sets and related properties in soft topological spaces, Applied Mathematics & Information Sciences, 7(1), 287-294, (2013).
  • M. Akdag and A. Ozkan, Soft a-open sets and soft a-continuous functions, Abstr. Anal. Appl. Art ID 891341, 1-7, (2014).
  • 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).
  • S. Hussain and B. Ahmedi, Some properties of soft topological spaces, Neural Comput and Appl., 62, 4058-4067, (2011).
  • A. Aygunoglu and H.Aygun, Some notes on soft topological spaces, Neural Comput and Applic., Neural Comput. and Applic, 21(1), 113-119, (2012).
  • 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).
  • 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).
  • S. M. Al-Salem, Soft regular generalized b-closed sets in soft topological spaces, Linear and Topological Algebra, 3(4), 195-204, (2014).
  • B. Ahmad and A. Kharal, On fuzzy soft sets, Advances in Fuzzy Systems, 1-6, (2009).
  • H. Aktas and N. Cagman, Soft sets and soft groups, Information Sciences, 1, 2726-2735, (2007).
  • 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).
  • N. Cagman and S. Enginoglu, Soft set theory and uniint decision making, European Journal of Operational Research, 207, 848-855, (2010).
  • 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).
  • P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics, 9, 589-602, (2001).
  • P. K. Maji, R. Biswas and A. R. Roy, Intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics, 9, 677-691, (2001).
  • P. Majumdar and S. K. Samanta, Generalised fuzzy soft sets, Computers and Mathematics with Applications, 59, 1425-1432, (2010).
  • D. Molodtsov, V. Y. Leonov and D. V. Kovkov, Soft sets technique and its application, Nechetkie Sistemy iMyagkie Vychisleniya, 1, 8-39, (2006).
  • A. Mukherjee and S. B. Chakraborty, On intuitionistic fuzzy soft relations, Bulletin of Kerala Mathematics Association, 5, (2008), 35-42.
  • D. Pei and D. Miao, From soft sets to information systems, in: X. Hu, Q. Liu, A. Skowron, T. Y. Lin, R. R. Yager, B. Zhang (Eds.), Proceedings of Granular Computing, in: IEEE, 2, 617-621, (2005).
  • Y. Zou and Z. Xiao, Data analysis approaches of soft sets under incomplete information, Knowledge-Based Systems, 21, 941-945, (2008).

Yıl 2016, Cilt: 4 Sayı: 2, 211 - 219, 01.03.2016

Alkan Ozkan Metin Akdag Fethullah Erol

Öz

Kaynakça

  • 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).
  • D. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37(4/5) 19-31, (1999).
  • P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Computer and Math. with Appl., 555-562, (2003).
  • M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl.,61, 1786-1799, (2011).
  • B. Chen, Soft semi-open sets and related properties in soft topological spaces, Applied Mathematics & Information Sciences, 7(1), 287-294, (2013).
  • M. Akdag and A. Ozkan, Soft a-open sets and soft a-continuous functions, Abstr. Anal. Appl. Art ID 891341, 1-7, (2014).
  • 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).
  • S. Hussain and B. Ahmedi, Some properties of soft topological spaces, Neural Comput and Appl., 62, 4058-4067, (2011).
  • A. Aygunoglu and H.Aygun, Some notes on soft topological spaces, Neural Comput and Applic., Neural Comput. and Applic, 21(1), 113-119, (2012).
  • 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).
  • 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).
  • S. M. Al-Salem, Soft regular generalized b-closed sets in soft topological spaces, Linear and Topological Algebra, 3(4), 195-204, (2014).
  • B. Ahmad and A. Kharal, On fuzzy soft sets, Advances in Fuzzy Systems, 1-6, (2009).
  • H. Aktas and N. Cagman, Soft sets and soft groups, Information Sciences, 1, 2726-2735, (2007).
  • 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).
  • N. Cagman and S. Enginoglu, Soft set theory and uniint decision making, European Journal of Operational Research, 207, 848-855, (2010).
  • 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).
  • P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics, 9, 589-602, (2001).
  • P. K. Maji, R. Biswas and A. R. Roy, Intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics, 9, 677-691, (2001).
  • P. Majumdar and S. K. Samanta, Generalised fuzzy soft sets, Computers and Mathematics with Applications, 59, 1425-1432, (2010).
  • D. Molodtsov, V. Y. Leonov and D. V. Kovkov, Soft sets technique and its application, Nechetkie Sistemy iMyagkie Vychisleniya, 1, 8-39, (2006).
  • A. Mukherjee and S. B. Chakraborty, On intuitionistic fuzzy soft relations, Bulletin of Kerala Mathematics Association, 5, (2008), 35-42.
  • D. Pei and D. Miao, From soft sets to information systems, in: X. Hu, Q. Liu, A. Skowron, T. Y. Lin, R. R. Yager, B. Zhang (Eds.), Proceedings of Granular Computing, in: IEEE, 2, 617-621, (2005).
  • Y. Zou and Z. Xiao, Data analysis approaches of soft sets under incomplete information, Knowledge-Based Systems, 21, 941-945, (2008).
Toplam 24 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Alkan Ozkan

Metin Akdag Bu kişi benim

Fethullah Erol Bu kişi benim

Yayımlanma Tarihi 1 Mart 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 2

Kaynak Göster

APA Ozkan, A., Akdag, M., & Erol, F. (2016). Soft b−compact spaces. New Trends in Mathematical Sciences, 4(2), 211-219.
AMA Ozkan A, Akdag M, Erol F. Soft b−compact spaces. New Trends in Mathematical Sciences. Mart 2016;4(2):211-219.
Chicago Ozkan, Alkan, Metin Akdag, ve Fethullah Erol. “Soft b−compact Spaces”. New Trends in Mathematical Sciences 4, sy. 2 (Mart 2016): 211-19.
EndNote Ozkan A, Akdag M, Erol F (01 Mart 2016) Soft b−compact spaces. New Trends in Mathematical Sciences 4 2 211–219.
IEEE A. Ozkan, M. Akdag, ve F. Erol, “Soft b−compact spaces”, New Trends in Mathematical Sciences, c. 4, sy. 2, ss. 211–219, 2016.
ISNAD Ozkan, Alkan vd. “Soft b−compact Spaces”. New Trends in Mathematical Sciences 4/2 (Mart 2016), 211-219.
JAMA Ozkan A, Akdag M, Erol F. Soft b−compact spaces. New Trends in Mathematical Sciences. 2016;4:211–219.
MLA Ozkan, Alkan vd. “Soft b−compact Spaces”. New Trends in Mathematical Sciences, c. 4, sy. 2, 2016, ss. 211-9.
Vancouver Ozkan A, Akdag M, Erol F. Soft b−compact spaces. New Trends in Mathematical Sciences. 2016;4(2):211-9.
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