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SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES

Yıl 2020, Sayı: 2, 61 - 75, 12.11.2020
https://doi.org/10.47087/mjm.723886

Öz

In this article, we define a new type soft separation axioms using
soft points on soft topological space and discuss the characterizations and
properties of them. We extend these separation axioms to the soft product
of soft topological spaces. Also we provide correct examples for the wrong
examples example:1, example:2 and example:3 given in article [8].

Kaynakça

  • Reference1 H. Aktas and N. Cagman, Soft sets and soft groups, Inf. Sci., 177(13) (2007) 2726 - 2735.
  • Reference2 A. Aygunoglu and H. Aygun, Some notes on soft topological spaces, Neural Comput. Applic., 21(1) (2012) 113 - 119.
  • Reference3 K.V. Babitha and J.J. Sunil, Soft set relations and functions, Comput. Math. Appl., 60 (2010) 1840 - 1849.
  • Reference4 D.N. Georgiou and A.C. Megaritis, Soft set theory and topology, Appl. Gen. Topol., 15(1) (2014) 93 - 109.
  • Reference5 O. Gocur and A. Kopuzlu, Some new properties of soft separation axioms, Ann. Fuzzy Math. Inform., 9(3) (2015) 421 - 429.
  • Reference6 C. Gunduz Aras, A. Sonmez and H. Cakalli, An approach to soft functions, J. Math. Anal., 8(2) (2017) 129-138.
  • Reference7 S. Hussain and B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl., 62(11) (2011) 4058 - 4067.
  • Reference8 S. Hussain and B. Ahmad, Soft separation axioms in soft topological spaces, Hacet. J. Math. Stat., 44(3) (2015) 559 - 568.
  • Reference9 A. Kharral and B. Ahmad, Mappings on soft classes, New Math. Nat. Comput., 7(3) (2011) 471 - 481.
  • Reference10 P.K. Maji, R. Biswas and A.R. Roy, Soft set theory, Comput. Math. Appl., 45 (2003) 555 - 562.
  • Reference11 P.K. Maji, A.R. Roy and R. Biswas, An application of soft sets in a decision making problems, Comput. Math. Appl., 44 (2002) 1077 - 1083. [12] D. Molodtsov, Soft set theory - First results, Comput. Math. Appl., 37, (2019) 19 - 31.
  • Reference13 S.K. Nazmul and S.K. Samanta, Neighbourhood properties of soft topological spaces, Ann. Fuzzy Math. Inform., 6(1) (2013) 1 - 15.
  • Reference14 T.Y. Ozturk and S. Bayramov, Soft mapping spaces, The Scientific World Journal, Art. ID.: 307292 (2014) 1 - 8.
  • Reference15 J.R. Porter and R. Grandwoods, Extensions and absolutes of Hausdorff spaces, SpringerVerlag, New york (1988). [16] M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl., 61 (2011) 1786 - 1799.
  • Reference17 A. Singh and N.S. Noorie, Remarks on soft axioms, Ann. Fuzzy Math. Inform., 14(5) (2017) 503 - 513.
  • Reference18 O. Tantawy, S.A. El-Sheikh and S. Hamde, Seperation axioms on soft topological spaces, Ann. Fuzzy Math. Inform., 11(4) (2016) 511 - 525.
  • Reference19 B.P. Varol and H. AygAun, On soft Hausdorff spaces, Ann. Fuzzy Math. Inform., 5(1) (2013) 15 - 24.
  • Reference20 D. Wardowski, On a soft mapping and its fixed points, Fixed Point Theory Appl., 182 (2013) 1 - 11.
  • Reference21 I. Zorlutuna, M.Akdag, W.K. Min and S. Atmaca, Remarks on soft topological spaces, Ann. Fuzzy Math. Inform., 3(2) (2012) 171 - 185.
Yıl 2020, Sayı: 2, 61 - 75, 12.11.2020
https://doi.org/10.47087/mjm.723886

Öz

Kaynakça

  • Reference1 H. Aktas and N. Cagman, Soft sets and soft groups, Inf. Sci., 177(13) (2007) 2726 - 2735.
  • Reference2 A. Aygunoglu and H. Aygun, Some notes on soft topological spaces, Neural Comput. Applic., 21(1) (2012) 113 - 119.
  • Reference3 K.V. Babitha and J.J. Sunil, Soft set relations and functions, Comput. Math. Appl., 60 (2010) 1840 - 1849.
  • Reference4 D.N. Georgiou and A.C. Megaritis, Soft set theory and topology, Appl. Gen. Topol., 15(1) (2014) 93 - 109.
  • Reference5 O. Gocur and A. Kopuzlu, Some new properties of soft separation axioms, Ann. Fuzzy Math. Inform., 9(3) (2015) 421 - 429.
  • Reference6 C. Gunduz Aras, A. Sonmez and H. Cakalli, An approach to soft functions, J. Math. Anal., 8(2) (2017) 129-138.
  • Reference7 S. Hussain and B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl., 62(11) (2011) 4058 - 4067.
  • Reference8 S. Hussain and B. Ahmad, Soft separation axioms in soft topological spaces, Hacet. J. Math. Stat., 44(3) (2015) 559 - 568.
  • Reference9 A. Kharral and B. Ahmad, Mappings on soft classes, New Math. Nat. Comput., 7(3) (2011) 471 - 481.
  • Reference10 P.K. Maji, R. Biswas and A.R. Roy, Soft set theory, Comput. Math. Appl., 45 (2003) 555 - 562.
  • Reference11 P.K. Maji, A.R. Roy and R. Biswas, An application of soft sets in a decision making problems, Comput. Math. Appl., 44 (2002) 1077 - 1083. [12] D. Molodtsov, Soft set theory - First results, Comput. Math. Appl., 37, (2019) 19 - 31.
  • Reference13 S.K. Nazmul and S.K. Samanta, Neighbourhood properties of soft topological spaces, Ann. Fuzzy Math. Inform., 6(1) (2013) 1 - 15.
  • Reference14 T.Y. Ozturk and S. Bayramov, Soft mapping spaces, The Scientific World Journal, Art. ID.: 307292 (2014) 1 - 8.
  • Reference15 J.R. Porter and R. Grandwoods, Extensions and absolutes of Hausdorff spaces, SpringerVerlag, New york (1988). [16] M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl., 61 (2011) 1786 - 1799.
  • Reference17 A. Singh and N.S. Noorie, Remarks on soft axioms, Ann. Fuzzy Math. Inform., 14(5) (2017) 503 - 513.
  • Reference18 O. Tantawy, S.A. El-Sheikh and S. Hamde, Seperation axioms on soft topological spaces, Ann. Fuzzy Math. Inform., 11(4) (2016) 511 - 525.
  • Reference19 B.P. Varol and H. AygAun, On soft Hausdorff spaces, Ann. Fuzzy Math. Inform., 5(1) (2013) 15 - 24.
  • Reference20 D. Wardowski, On a soft mapping and its fixed points, Fixed Point Theory Appl., 182 (2013) 1 - 11.
  • Reference21 I. Zorlutuna, M.Akdag, W.K. Min and S. Atmaca, Remarks on soft topological spaces, Ann. Fuzzy Math. Inform., 3(2) (2012) 171 - 185.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Solai Ramkumar 0000-0001-5011-774X

Vinoth Subbiah Bu kişi benim 0000-0001-8621-8032

Yayımlanma Tarihi 12 Kasım 2020
Kabul Tarihi 14 Ekim 2020
Yayımlandığı Sayı Yıl 2020 Sayı: 2

Kaynak Göster

APA Ramkumar, S., & Subbiah, V. (2020). SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES. Maltepe Journal of Mathematics, 2(2), 61-75. https://doi.org/10.47087/mjm.723886
AMA Ramkumar S, Subbiah V. SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES. Maltepe Journal of Mathematics. Kasım 2020;2(2):61-75. doi:10.47087/mjm.723886
Chicago Ramkumar, Solai, ve Vinoth Subbiah. “SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES”. Maltepe Journal of Mathematics 2, sy. 2 (Kasım 2020): 61-75. https://doi.org/10.47087/mjm.723886.
EndNote Ramkumar S, Subbiah V (01 Kasım 2020) SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES. Maltepe Journal of Mathematics 2 2 61–75.
IEEE S. Ramkumar ve V. Subbiah, “SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES”, Maltepe Journal of Mathematics, c. 2, sy. 2, ss. 61–75, 2020, doi: 10.47087/mjm.723886.
ISNAD Ramkumar, Solai - Subbiah, Vinoth. “SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES”. Maltepe Journal of Mathematics 2/2 (Kasım 2020), 61-75. https://doi.org/10.47087/mjm.723886.
JAMA Ramkumar S, Subbiah V. SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES. Maltepe Journal of Mathematics. 2020;2:61–75.
MLA Ramkumar, Solai ve Vinoth Subbiah. “SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES”. Maltepe Journal of Mathematics, c. 2, sy. 2, 2020, ss. 61-75, doi:10.47087/mjm.723886.
Vancouver Ramkumar S, Subbiah V. SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES. Maltepe Journal of Mathematics. 2020;2(2):61-75.

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