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A Study of Soft Topological Axioms and Soft Compactness by Using Soft Elements

Yıl 2019, Cilt: 8 Sayı: 2, 53 - 66, 31.12.2019

Öz

In this article, we study the ordinary topology on the collection of soft elements. Some interesting relations between the ordinary topology on the collection of soft elements and the soft topology are discussed. New definition of soft separation axioms and soft compactness are presented and studied using soft elements.

Kaynakça

  • [1] M.Abbas, M.I.Ali, S.Romaguera, Generalized Operations in Soft Set Theory via Relaxed Conditions on Parameters, Filomat, 19 (2017), 5955-5964.
  • [2] U.Acar, F.Koyuncu, B.Tanay, Soft sets and soft rings, Computers and mathematics with Applications, 59 (2010), 3458-3463.
  • [3] H. Aktas and N. Cagman, Soft sets and soft groups, Information Sciences 177 (2007), 2726-2735.
  • [4] M.A.K.Al-Khafaj, M.H.Mahmood, Some Properties of Soft Connected Space and Soft Locally Connected Spaces, IOSR Journal of Mathematics, 10 (2014), 102-107.
  • [5] S.S.Benchalli, P.G.Patil, Some Properties of Soft Beta-Compact and Related Soft Topological Spaces, Italian Journal of Pure and Applied Mathematics, 38 (2017), 487-496.
  • [6] N.Cagman, S.Karatas, S.Enginogiu, Soft Topology, Computers and mathematics with Applications, 61 (2011), 351-358.
  • [7] Y.Celik, C.Ekiz and S.Yamak, A new view on soft rings, Hacettepe Journal of Mathematics and Statistics, 40 (2011), 273-286.
  • [8] F.Feng, Y.B.Jun, X.Zhao, Soft Semirings, Computers and mathematics with Applications, 56 (2008), 2621-2628.
  • [9] D.N.Georgiou, A.C.Megaritis and V.I.Petropoulos, On Soft Topological Spaces, Appl. Math. Inf. Sci. 7 (2013), 1889-1901.
  • [10] D.N.Georgiou, A.C.Megaritis Soft Set Theory and Topology, Appl.Gen.Topo. 15 (2014), 93-109.
  • [11] S.Goldar, S.Ray, A Study of Soft Topology from Classical View Point , Proceedings of IMBIC, 6 (2017), 108-116.
  • [12] S.Goldar, S.Ray, On Soft Ring And Soft Ideal, Communicated to The Journal of Mathematical Journal of Interdisciplinary Sciences.
  • [13] A.M.Hamza, M.Saad, On The Open Limit Point Compactness and Soft Open Limit Point Compactness, Applied Mathematical sciences, 11 (2017), 2697-2706.
  • [14] Takanori Hida, A comparison of two formulations of soft compactness, Annals of Fuzzy Mathematics and Informatics, 8 (2014), 511-525.
  • [15] R.A.Hosny, A.M.Abd El-Latif, Soft G-compactness in Soft Topological Spaces, Annals of Fuzzy Math. and Info., 11 (2016), 973-987.
  • [16] S.Hussain A note on Soft connectedness, Journal of the Egyptian Mathematical Society 23 (2015), 6-11.
  • [17] S.Jalil, B.S.Reddy, On Soft Compact, Sequentially Compact and Locally Compactness Advances in Fuzzy Mathematics, 12 (2017), 835-844.
  • [18] A.Kandil, O.A.E.Tantawy, S.A.El-Sheikh, A.M.Abd El-Latif Soft Connectedness Via Soft Ideals, Journal of New Results in Sciences, 4(2014), 90-108.
  • [19] P.K.Maji, R.Biswas and A.R.Roy, Soft Set Theory, Computers and mathematics with Applications, 45 (2003), 555-562.
  • [20] P.Majumdar, S.K.Samanta, On Soft Mapping Computers and mathematics with Applications, 60 (2010), 2666-2672.
  • [21] D.Molodtsov, Soft set theory - First results, Computers and mathematics with Applications, 37(4/5) (1999), 19-31.
Yıl 2019, Cilt: 8 Sayı: 2, 53 - 66, 31.12.2019

Öz

Kaynakça

  • [1] M.Abbas, M.I.Ali, S.Romaguera, Generalized Operations in Soft Set Theory via Relaxed Conditions on Parameters, Filomat, 19 (2017), 5955-5964.
  • [2] U.Acar, F.Koyuncu, B.Tanay, Soft sets and soft rings, Computers and mathematics with Applications, 59 (2010), 3458-3463.
  • [3] H. Aktas and N. Cagman, Soft sets and soft groups, Information Sciences 177 (2007), 2726-2735.
  • [4] M.A.K.Al-Khafaj, M.H.Mahmood, Some Properties of Soft Connected Space and Soft Locally Connected Spaces, IOSR Journal of Mathematics, 10 (2014), 102-107.
  • [5] S.S.Benchalli, P.G.Patil, Some Properties of Soft Beta-Compact and Related Soft Topological Spaces, Italian Journal of Pure and Applied Mathematics, 38 (2017), 487-496.
  • [6] N.Cagman, S.Karatas, S.Enginogiu, Soft Topology, Computers and mathematics with Applications, 61 (2011), 351-358.
  • [7] Y.Celik, C.Ekiz and S.Yamak, A new view on soft rings, Hacettepe Journal of Mathematics and Statistics, 40 (2011), 273-286.
  • [8] F.Feng, Y.B.Jun, X.Zhao, Soft Semirings, Computers and mathematics with Applications, 56 (2008), 2621-2628.
  • [9] D.N.Georgiou, A.C.Megaritis and V.I.Petropoulos, On Soft Topological Spaces, Appl. Math. Inf. Sci. 7 (2013), 1889-1901.
  • [10] D.N.Georgiou, A.C.Megaritis Soft Set Theory and Topology, Appl.Gen.Topo. 15 (2014), 93-109.
  • [11] S.Goldar, S.Ray, A Study of Soft Topology from Classical View Point , Proceedings of IMBIC, 6 (2017), 108-116.
  • [12] S.Goldar, S.Ray, On Soft Ring And Soft Ideal, Communicated to The Journal of Mathematical Journal of Interdisciplinary Sciences.
  • [13] A.M.Hamza, M.Saad, On The Open Limit Point Compactness and Soft Open Limit Point Compactness, Applied Mathematical sciences, 11 (2017), 2697-2706.
  • [14] Takanori Hida, A comparison of two formulations of soft compactness, Annals of Fuzzy Mathematics and Informatics, 8 (2014), 511-525.
  • [15] R.A.Hosny, A.M.Abd El-Latif, Soft G-compactness in Soft Topological Spaces, Annals of Fuzzy Math. and Info., 11 (2016), 973-987.
  • [16] S.Hussain A note on Soft connectedness, Journal of the Egyptian Mathematical Society 23 (2015), 6-11.
  • [17] S.Jalil, B.S.Reddy, On Soft Compact, Sequentially Compact and Locally Compactness Advances in Fuzzy Mathematics, 12 (2017), 835-844.
  • [18] A.Kandil, O.A.E.Tantawy, S.A.El-Sheikh, A.M.Abd El-Latif Soft Connectedness Via Soft Ideals, Journal of New Results in Sciences, 4(2014), 90-108.
  • [19] P.K.Maji, R.Biswas and A.R.Roy, Soft Set Theory, Computers and mathematics with Applications, 45 (2003), 555-562.
  • [20] P.Majumdar, S.K.Samanta, On Soft Mapping Computers and mathematics with Applications, 60 (2010), 2666-2672.
  • [21] D.Molodtsov, Soft set theory - First results, Computers and mathematics with Applications, 37(4/5) (1999), 19-31.
Toplam 21 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Sujay Goldar

Subhasis Ray Bu kişi benim

Yayımlanma Tarihi 31 Aralık 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 8 Sayı: 2

Kaynak Göster

APA Goldar, S., & Ray, S. (2019). A Study of Soft Topological Axioms and Soft Compactness by Using Soft Elements. Journal of New Results in Science, 8(2), 53-66.
AMA Goldar S, Ray S. A Study of Soft Topological Axioms and Soft Compactness by Using Soft Elements. JNRS. Aralık 2019;8(2):53-66.
Chicago Goldar, Sujay, ve Subhasis Ray. “A Study of Soft Topological Axioms and Soft Compactness by Using Soft Elements”. Journal of New Results in Science 8, sy. 2 (Aralık 2019): 53-66.
EndNote Goldar S, Ray S (01 Aralık 2019) A Study of Soft Topological Axioms and Soft Compactness by Using Soft Elements. Journal of New Results in Science 8 2 53–66.
IEEE S. Goldar ve S. Ray, “A Study of Soft Topological Axioms and Soft Compactness by Using Soft Elements”, JNRS, c. 8, sy. 2, ss. 53–66, 2019.
ISNAD Goldar, Sujay - Ray, Subhasis. “A Study of Soft Topological Axioms and Soft Compactness by Using Soft Elements”. Journal of New Results in Science 8/2 (Aralık 2019), 53-66.
JAMA Goldar S, Ray S. A Study of Soft Topological Axioms and Soft Compactness by Using Soft Elements. JNRS. 2019;8:53–66.
MLA Goldar, Sujay ve Subhasis Ray. “A Study of Soft Topological Axioms and Soft Compactness by Using Soft Elements”. Journal of New Results in Science, c. 8, sy. 2, 2019, ss. 53-66.
Vancouver Goldar S, Ray S. A Study of Soft Topological Axioms and Soft Compactness by Using Soft Elements. JNRS. 2019;8(2):53-66.


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