Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2014, Cilt: 27 Sayı: 4, 1077 - 1083, 03.06.2014

Metin Akdağ , Alkan Özkan

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 (2009) 1547-1553.
  • D. Molodtsov, Soft set theory-First results. Comput. Math. Appl. 37(4/5) (1999) 19-31.
  • P. K. Maji, R. Biswas and A. R. Roy, Soft set theory. Computer and Math. with Appl. (2003), 555- 562.
  • M. Shabir and M. Naz, On soft topological spaces. Comput. Math. Appl. 61 (2011) 1786-1799.
  • B. Chen, Soft semi-open sets and related properties in soft topological spaces. Applied Mathematics & Information Sciences. 7(1) (2013) 287-294.
  • A. Aygunoglu and H.Aygun, Some notes on soft topological spaces. Neural Comput and Applic. Neural Comput. and Applic, 21(1) (2012) 113-119.
  • I. Arockiarani and A. A. Lancy, Generalized soft gβ- closed sets and soft gsβ-closed sets in soft topological spaces. International Journal Of Mathematical Archive, 4(2), (2013) 1-7.
  • I. Zorlutuna, M. Akdag, W. K. Min and S. Atmaca, Remarks on soft topological spaces. Annals of Fuzzy Mathematics and Informatics, 3(2) (2012) 171-185.
  • S. Hussain and B. Ahmedi, Some properties of soft topological spaces. Neural Comput and Appl., 62 (2011) 4058-4067.
  • A. S Mashhour, M. E. Abd El-Monsef and S. N. El-Deeb, On precontinuous and weak precontinuouıs mappings. Proc. Math. Phys. Soc. Egypt 53 (1982) 47- 53.
  • A. S Mashhour, I. A. Hasanein and S. N. El-Deeb, A note on semi-continuity and precontinuity. Indian J. Pure Apll. Math.13(10) (1982) 1119-1123.
  • T. Noiri, A. S Mashhour and S. N. El-Deeb, On p- regular spaces. Bull. Math. Soc. Sci. Math. R. S. Roumaine 27(75) (1983) 437-441.
  • Y. Gnanambal, On Generalized Preregular Closed Sets in topological Spaces. Indian J. Pure. Appl. Math., 28(3) (1997) 351-360.
  • J. Dontchev, I. Arokiarani.and K. Balachandran, Some characterizatoins of gp-irresolute and gp- continuous maps between topological spaces. Mem. Fac. Sci. Kochi. Univ. Ser. A. Math., 20 (1999).93-104. [15] E. Ekici, Almost contra-precontinuous functions. Bull Malays Math. Sci. Soc. 27(1) (2004) 53-65.
  • J. Dontchev and H. Maki, On behaviror of gp- closed sets and their generalizations. Mem. Fac. Sci. Kochi Univ. Math., 19 (1998) 57-72.
  • V.M.K.R.S. Kumar, Semi-pre-generalized closed sets. Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 20 (1999) 33-46.
  • S. Jafari and T. Noiri, On contra-precontinuous functions. Bull Malaysian Math. Sci. Soc. 25(2) (2002) 115-28.
  • T. Noiri, H. Maki and J. Umehara, Generalized preclosed functions. Men Fac. Sci. Kochi Univ. Ser. A, Math. 19 (1998) 13-20.
  • M. Akdag and A. Ozkan, Soft ߙ-open sets and soft ߙ-continuous functions. Abstract and Analysis Applied.(2014) 7 pages.
  • N. Cagman, S. Karatas and S. Enginoglu, Soft topology. Comput. Math. Appl. 62 (2011) 351-358
  • W. K. Min, A note on soft topological space. Computers And Mathematics With Applications, 62 (2011) 3524-3528.
  • B. Pazar, Varol and H. Aygun, On Soft Hausdorff Spaces. Ann. of Fuzzy Math. Inform, 5(1) (2013) 15-24. [24] L. Arokia and Arockiarani, On soft ߚ-separation axsioms. International Journal Of Mathematical Archive, Vol. 1 Issue 5, October-2013.

On Soft Preopen Sets and Soft Pre Separation Axioms

Yıl 2014, Cilt: 27 Sayı: 4, 1077 - 1083, 03.06.2014

Metin Akdağ , Alkan Özkan

Öz

Arockiarani and Lancy [7], defined soft pre-open (closed) sets on soft topology. In this paper, we are continue investigating the properties of soft pre-open (closed) sets and define soft preclosure and soft preinterior in soft topological spaces. We are also introduce and research basic properties of the concepts of soft pre-regular spaces, soft P₃-spaces, soft pre-normal spaces and soft P₄-spaces in soft topological spaces, which are basic for further research on soft topology and will fortify the footing of the theory of soft topological space. 

Anahtar Kelimeler

Soft pre-open sets soft preinterior soft preclosure soft pre-T_{i}-separation axioms.

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 (2009) 1547-1553.
  • D. Molodtsov, Soft set theory-First results. Comput. Math. Appl. 37(4/5) (1999) 19-31.
  • P. K. Maji, R. Biswas and A. R. Roy, Soft set theory. Computer and Math. with Appl. (2003), 555- 562.
  • M. Shabir and M. Naz, On soft topological spaces. Comput. Math. Appl. 61 (2011) 1786-1799.
  • B. Chen, Soft semi-open sets and related properties in soft topological spaces. Applied Mathematics & Information Sciences. 7(1) (2013) 287-294.
  • A. Aygunoglu and H.Aygun, Some notes on soft topological spaces. Neural Comput and Applic. Neural Comput. and Applic, 21(1) (2012) 113-119.
  • I. Arockiarani and A. A. Lancy, Generalized soft gβ- closed sets and soft gsβ-closed sets in soft topological spaces. International Journal Of Mathematical Archive, 4(2), (2013) 1-7.
  • I. Zorlutuna, M. Akdag, W. K. Min and S. Atmaca, Remarks on soft topological spaces. Annals of Fuzzy Mathematics and Informatics, 3(2) (2012) 171-185.
  • S. Hussain and B. Ahmedi, Some properties of soft topological spaces. Neural Comput and Appl., 62 (2011) 4058-4067.
  • A. S Mashhour, M. E. Abd El-Monsef and S. N. El-Deeb, On precontinuous and weak precontinuouıs mappings. Proc. Math. Phys. Soc. Egypt 53 (1982) 47- 53.
  • A. S Mashhour, I. A. Hasanein and S. N. El-Deeb, A note on semi-continuity and precontinuity. Indian J. Pure Apll. Math.13(10) (1982) 1119-1123.
  • T. Noiri, A. S Mashhour and S. N. El-Deeb, On p- regular spaces. Bull. Math. Soc. Sci. Math. R. S. Roumaine 27(75) (1983) 437-441.
  • Y. Gnanambal, On Generalized Preregular Closed Sets in topological Spaces. Indian J. Pure. Appl. Math., 28(3) (1997) 351-360.
  • J. Dontchev, I. Arokiarani.and K. Balachandran, Some characterizatoins of gp-irresolute and gp- continuous maps between topological spaces. Mem. Fac. Sci. Kochi. Univ. Ser. A. Math., 20 (1999).93-104. [15] E. Ekici, Almost contra-precontinuous functions. Bull Malays Math. Sci. Soc. 27(1) (2004) 53-65.
  • J. Dontchev and H. Maki, On behaviror of gp- closed sets and their generalizations. Mem. Fac. Sci. Kochi Univ. Math., 19 (1998) 57-72.
  • V.M.K.R.S. Kumar, Semi-pre-generalized closed sets. Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 20 (1999) 33-46.
  • S. Jafari and T. Noiri, On contra-precontinuous functions. Bull Malaysian Math. Sci. Soc. 25(2) (2002) 115-28.
  • T. Noiri, H. Maki and J. Umehara, Generalized preclosed functions. Men Fac. Sci. Kochi Univ. Ser. A, Math. 19 (1998) 13-20.
  • M. Akdag and A. Ozkan, Soft ߙ-open sets and soft ߙ-continuous functions. Abstract and Analysis Applied.(2014) 7 pages.
  • N. Cagman, S. Karatas and S. Enginoglu, Soft topology. Comput. Math. Appl. 62 (2011) 351-358
  • W. K. Min, A note on soft topological space. Computers And Mathematics With Applications, 62 (2011) 3524-3528.
  • B. Pazar, Varol and H. Aygun, On Soft Hausdorff Spaces. Ann. of Fuzzy Math. Inform, 5(1) (2013) 15-24. [24] L. Arokia and Arockiarani, On soft ߚ-separation axsioms. International Journal Of Mathematical Archive, Vol. 1 Issue 5, October-2013.
Toplam 22 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Mathematics
Yazarlar

Metin Akdağ

Alkan Özkan

Yayımlanma Tarihi 3 Haziran 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 27 Sayı: 4

Kaynak Göster

APA Akdağ, M., & Özkan, A. (2014). On Soft Preopen Sets and Soft Pre Separation Axioms. Gazi University Journal of Science, 27(4), 1077-1083.
AMA Akdağ M, Özkan A. On Soft Preopen Sets and Soft Pre Separation Axioms. Gazi University Journal of Science. Kasım 2014;27(4):1077-1083.
Chicago Akdağ, Metin, ve Alkan Özkan. “On Soft Preopen Sets and Soft Pre Separation Axioms”. Gazi University Journal of Science 27, sy. 4 (Kasım 2014): 1077-83.
EndNote Akdağ M, Özkan A (01 Kasım 2014) On Soft Preopen Sets and Soft Pre Separation Axioms. Gazi University Journal of Science 27 4 1077–1083.
IEEE M. Akdağ ve A. Özkan, “On Soft Preopen Sets and Soft Pre Separation Axioms”, Gazi University Journal of Science, c. 27, sy. 4, ss. 1077–1083, 2014.
ISNAD Akdağ, Metin - Özkan, Alkan. “On Soft Preopen Sets and Soft Pre Separation Axioms”. Gazi University Journal of Science 27/4 (Kasım 2014), 1077-1083.
JAMA Akdağ M, Özkan A. On Soft Preopen Sets and Soft Pre Separation Axioms. Gazi University Journal of Science. 2014;27:1077–1083.
MLA Akdağ, Metin ve Alkan Özkan. “On Soft Preopen Sets and Soft Pre Separation Axioms”. Gazi University Journal of Science, c. 27, sy. 4, 2014, ss. 1077-83.
Vancouver Akdağ M, Özkan A. On Soft Preopen Sets and Soft Pre Separation Axioms. Gazi University Journal of Science. 2014;27(4):1077-83.