Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Cilt: 3 Sayı: 4, 160 - 166, 23.12.2020
https://doi.org/10.32323/ujma.707355

Öz

Kaynakça

  • [1] A. Kharal, B. Ahamad, Mappings on soft classes, New Math.Nat.Comput.7(3) (2011), 471-481.
  • [2] A. Robert, S.Pious Missier, A new class of nearly open Sets, Int. J. Math. Arch., 3(7)(2012), 2575-2582.
  • [3] A. Robert, S.Pious Missier, On semi*-closed sets , Asian J. Eng. Maths., 1(4) (2012), 173-176.
  • [4] C. Gunduz Aras, S. Bayramov, On the Tietze extension theorem in soft topological spaces, Proc. Inst. Math. Mech., 43 (1) (2017), 105-115.
  • [5] D. Molodtsov, Soft set theory-first results, Comp. Math. Appl., 37 (1999), 19-31.
  • [6] E. Peyghan, B. Samadi, A. Tayebi, On soft connectedness, arXiv:1202.1668V1 [math.GN], 8 Feb 2012.
  • [7] I. Demir, An approach to the concept of soft vietoris topology, Int. J. Anal. Appl., 12 (2016), 198-206.
  • [8] I. Demir, O.B. Ozbakir, I. Yıldız, A contribution to the study of soft proximity spaces, Filomat, 31 (2017) 2023 - 2034.
  • [9] I. Demir, O. B. Ozbakir, An extension of Lowen’s uniformity to the fuzzy soft sets, Konuralp J. Math., 6 (2018) 321 - 331.
  • [10] I. Zorlutuna, M. Akdag, W.K. Min, S. Atmaca, Remarks on soft topological spaces, Ann. Fuzzy Math. Inform., 3 (2) (2012), 171-185.
  • [11] K. Kannan Soft generalized closed sets in soft topological spaces, J. Theoret. Appl. Tech., 37 (2012), 17-21.
  • [12] M. Shabir, M. Naz, On Soft topological spaces, Comp. Math. Appl., 61(2011), 1786-1799.
  • [13] M.E. El-Shafei, M. Abo-Elhamayel, T.M. Al-Shami, Two notes on ”On soft Hausdorff spaces”, Ann. of Fuzzy Math. Inform., 16 (3) (2018), 333-336.
  • [14] N. Levine, Semi-open sets and Semi- continuity in topological spaces, Amer. Math. Monthly, 70(1) (1963), 36-41.
  • [15] N. Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19 (1970),89–96.
  • [16] P.K.Maji, R.Biswas, R.Roy Soft set theory, Computer and Mathematics with Applications 45(2003) 555-562.
  • [17] S.Hussain, B.Ahmed,Some Properties of Soft Topological Spaces, Comput. Math. Appl., 62 (2011), 4048-4067.
  • [18] S. Pious Missier, A. Robert On semi*-open sets , International Journal of Mathematics and soft computing, 2(2)(2012)95-105.
  • [19] S.M.Khalil, M.Ulrazaq, S.Abdul-Ghani, A.F. Al-Musawi, s-Algebra and s-Baire in Fuzzy Soft Setting, Advances in Fuzzy Systems , Volume 2018, Article ID 5731682, 10 pages. 7(3),(2011),471-481.
  • [20] S.M.Khalil, Decision making using algebraic operations on soft effect matrix as new category of similarity measures and study their application in medical diagnosis problems , Journal of Intelligent and Fuzzy Systems, 37(2019) ,1865-1877.
  • [21] W. Dunham, A New Closure Operator for Non-T1 Topologies, Kyungpook Math. J. 22 (1982), 55–60.
  • [22] W.K.Min, A Note on Soft Topological Spaces, Comput. Math. Appl., 62(2011),3524-3528.

Soft Topological Space in Virtue of Semi* Open Sets

Yıl 2020, Cilt: 3 Sayı: 4, 160 - 166, 23.12.2020
https://doi.org/10.32323/ujma.707355

Öz

The ultimate purpose of this research article is to originate and examine some new kind of open sets in soft topological spaces such as soft semi* - open and soft semi* - closed sets using generalized closure operator with illustrating counter examples.

Destekleyen Kurum

Madurai Kamaraj University

Teşekkür

My special thanks goes to Professor Dr.M.Lellis Thivagar

Kaynakça

  • [1] A. Kharal, B. Ahamad, Mappings on soft classes, New Math.Nat.Comput.7(3) (2011), 471-481.
  • [2] A. Robert, S.Pious Missier, A new class of nearly open Sets, Int. J. Math. Arch., 3(7)(2012), 2575-2582.
  • [3] A. Robert, S.Pious Missier, On semi*-closed sets , Asian J. Eng. Maths., 1(4) (2012), 173-176.
  • [4] C. Gunduz Aras, S. Bayramov, On the Tietze extension theorem in soft topological spaces, Proc. Inst. Math. Mech., 43 (1) (2017), 105-115.
  • [5] D. Molodtsov, Soft set theory-first results, Comp. Math. Appl., 37 (1999), 19-31.
  • [6] E. Peyghan, B. Samadi, A. Tayebi, On soft connectedness, arXiv:1202.1668V1 [math.GN], 8 Feb 2012.
  • [7] I. Demir, An approach to the concept of soft vietoris topology, Int. J. Anal. Appl., 12 (2016), 198-206.
  • [8] I. Demir, O.B. Ozbakir, I. Yıldız, A contribution to the study of soft proximity spaces, Filomat, 31 (2017) 2023 - 2034.
  • [9] I. Demir, O. B. Ozbakir, An extension of Lowen’s uniformity to the fuzzy soft sets, Konuralp J. Math., 6 (2018) 321 - 331.
  • [10] I. Zorlutuna, M. Akdag, W.K. Min, S. Atmaca, Remarks on soft topological spaces, Ann. Fuzzy Math. Inform., 3 (2) (2012), 171-185.
  • [11] K. Kannan Soft generalized closed sets in soft topological spaces, J. Theoret. Appl. Tech., 37 (2012), 17-21.
  • [12] M. Shabir, M. Naz, On Soft topological spaces, Comp. Math. Appl., 61(2011), 1786-1799.
  • [13] M.E. El-Shafei, M. Abo-Elhamayel, T.M. Al-Shami, Two notes on ”On soft Hausdorff spaces”, Ann. of Fuzzy Math. Inform., 16 (3) (2018), 333-336.
  • [14] N. Levine, Semi-open sets and Semi- continuity in topological spaces, Amer. Math. Monthly, 70(1) (1963), 36-41.
  • [15] N. Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19 (1970),89–96.
  • [16] P.K.Maji, R.Biswas, R.Roy Soft set theory, Computer and Mathematics with Applications 45(2003) 555-562.
  • [17] S.Hussain, B.Ahmed,Some Properties of Soft Topological Spaces, Comput. Math. Appl., 62 (2011), 4048-4067.
  • [18] S. Pious Missier, A. Robert On semi*-open sets , International Journal of Mathematics and soft computing, 2(2)(2012)95-105.
  • [19] S.M.Khalil, M.Ulrazaq, S.Abdul-Ghani, A.F. Al-Musawi, s-Algebra and s-Baire in Fuzzy Soft Setting, Advances in Fuzzy Systems , Volume 2018, Article ID 5731682, 10 pages. 7(3),(2011),471-481.
  • [20] S.M.Khalil, Decision making using algebraic operations on soft effect matrix as new category of similarity measures and study their application in medical diagnosis problems , Journal of Intelligent and Fuzzy Systems, 37(2019) ,1865-1877.
  • [21] W. Dunham, A New Closure Operator for Non-T1 Topologies, Kyungpook Math. J. 22 (1982), 55–60.
  • [22] W.K.Min, A Note on Soft Topological Spaces, Comput. Math. Appl., 62(2011),3524-3528.
Toplam 22 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Gnanachandra Prabu

M.lellis Thıvagar

Muneesh Kumar Arumugam

Yayımlanma Tarihi 23 Aralık 2020
Gönderilme Tarihi 22 Mart 2020
Kabul Tarihi 15 Aralık 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 3 Sayı: 4

Kaynak Göster

APA Prabu, G., Thıvagar, M., & Arumugam, M. K. (2020). Soft Topological Space in Virtue of Semi* Open Sets. Universal Journal of Mathematics and Applications, 3(4), 160-166. https://doi.org/10.32323/ujma.707355
AMA Prabu G, Thıvagar M, Arumugam MK. Soft Topological Space in Virtue of Semi* Open Sets. Univ. J. Math. Appl. Aralık 2020;3(4):160-166. doi:10.32323/ujma.707355
Chicago Prabu, Gnanachandra, M.lellis Thıvagar, ve Muneesh Kumar Arumugam. “Soft Topological Space in Virtue of Semi* Open Sets”. Universal Journal of Mathematics and Applications 3, sy. 4 (Aralık 2020): 160-66. https://doi.org/10.32323/ujma.707355.
EndNote Prabu G, Thıvagar M, Arumugam MK (01 Aralık 2020) Soft Topological Space in Virtue of Semi* Open Sets. Universal Journal of Mathematics and Applications 3 4 160–166.
IEEE G. Prabu, M. Thıvagar, ve M. K. Arumugam, “Soft Topological Space in Virtue of Semi* Open Sets”, Univ. J. Math. Appl., c. 3, sy. 4, ss. 160–166, 2020, doi: 10.32323/ujma.707355.
ISNAD Prabu, Gnanachandra vd. “Soft Topological Space in Virtue of Semi* Open Sets”. Universal Journal of Mathematics and Applications 3/4 (Aralık 2020), 160-166. https://doi.org/10.32323/ujma.707355.
JAMA Prabu G, Thıvagar M, Arumugam MK. Soft Topological Space in Virtue of Semi* Open Sets. Univ. J. Math. Appl. 2020;3:160–166.
MLA Prabu, Gnanachandra vd. “Soft Topological Space in Virtue of Semi* Open Sets”. Universal Journal of Mathematics and Applications, c. 3, sy. 4, 2020, ss. 160-6, doi:10.32323/ujma.707355.
Vancouver Prabu G, Thıvagar M, Arumugam MK. Soft Topological Space in Virtue of Semi* Open Sets. Univ. J. Math. Appl. 2020;3(4):160-6.

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