Araştırma Makalesi
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Soft Almost b-Continuous Mappings

Yıl 2018, Sayı: 23, 93 - 104, 01.06.2018

Öz

In the present paper, we introduce one class of soft mappings,namely soft almost
b-continuous mappings and investigate several properties of these mappings.This notion is stronger
than soft almost β-continuous mappings and is weaker than both soft almost pre-continuous mappings
and soft almost semi-continuous mappings.The diagrams of implications among these soft
classes of mappings and some known classes of mappings have been established.

Kaynakça

  • [1] M. Akdag , A. Ozkan, soft b-open sets and soft b-continuous functions, Math Sci 8:124 DOI 10.1007/s40096-014-0124-7 (2014).
  • [2] M. Akdag, A. Ozkan, On Soft Preopen Sets and Soft Pre Separation Axioms, Gazi University Journal of Science, 27 (4), (2014) 1077–1083.
  • [3] M. Akdag, A. Ozkan, On Soft β−Open Sets and Soft β−continuous Functions, The Scientific World Journal, Article ID 843456, 6 pages(2014).
  • [4] M. Akdag, A. Ozkan, On soft α-open sets and soft α-continuous functions, Abstract and Applied Analysis http//dx.doi.org/101155/2014/891341 2014 Article ID 891341,(2014), 7 pages.
  • [5] I. Arockiarani and A. A. Lancy, Generalized soft gβ- closed sets and soft gsβclosed sets in soft topological spaces. International Journal Of Mathematical Archive, 4(2) (2013), 1-7.
  • [6] M. Irfan Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Comput. Math. Appl., 57( 2009), 1547-1553.
  • [7] B. Chen , Soft semi-open sets and related properties in soft topological spaces, Appl. Math. Inf. Sci., 7, (1) (2013), 287–294.
  • [8] S. Hussain and B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl., 62 (2011), 4058-4067.
  • [9] A. Kharral and B. Ahmad, Mappings on soft classes, New Math. Nat. Comput., 7(3)(2011), 471-481.
  • [10] P. K. Maji, R. Biswas, R. Roy, Soft set theory, Comput. Math. Appl., 45 (2003), 555-562.
  • [11] P. Majumdar and S. K. Samanta, Similarity measure of soft sets, New Math. Nat. Comput., 4(1) (2008) 1-12.
  • [12] J. Mahanta and P. K. Das , On soft topological space via semi open and semi closed soft sets, Kyungpook Math. J., 54(2014), 221–236.
  • [13] W. K. Min, A note on soft topological spaces, Comput. Math. Appl., 62 (2011), 3524-3528.
  • [14] D. Molodtsov, Soft set theory first results, Comput. Math. Appl., 37 (1999), 19- 31. Gnanambal Ilango and Mrudula Ravindran, On Soft Preopen Sets in Soft Topological Spaces.International Journal of Mathematics Research, 5(4)(2013), 399-499.
  • [15] M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl., 61 (2011), 1786-1799.
  • [16] S. S. Thakur, Alpa Singh Rajput,Connectedness Between Soft Sets, New Mathematics and Natural Computation, 14( 1)(2018),1–19.
  • [17] S. S. Thakur and Alpa Singh Rajput, Extremally Disconnectedness in Soft Topological Spaces,(Submitted).
  • [18] S. S. Thakur and Alpa Singh Rajput, Soft Almost Continuous Mappings, International Journal of Advances in Mathematics, 2017 (1), (2017), 22-29.
  • [19] S. S. Thakur and Alpa Singh Rajput, Soft Almost α-Continuous Mappings,(Submitted).
  • [20] S. S. Thakur, Alpa Singh Rajput and M. R. Dhakad, Soft Almost SemiContinuous Mappings, Malaya J. Mat., 5(2)(2017), 395-400.
  • [21] S. S. Thakur and Alpa Singh Rajput, Soft Almost Pre-Continuous Mappings, The Journal of Fuzzy Mathematics, 26 (2)( 2018), 439–449.
  • [22] S. S. Thakur and Alpa Singh Rajput, Soft Almost β-Continuous Mappings, (Submitted).
  • [23] S. Yuksel., Soft Regular Generalized Closed Sets in Soft Topological Spaces, Int. Journal of Math. Analysis, 8 (8) (2014), 355-367.
  • [24] Y. Yumak, A. K. Kayamakci, Soft β-open sets and their application, arXiv:1312.6964(2013).
  • [25] I. Zorlutana, N. Akdag and W. K. Min, Remarks on soft topological spaces, Ann. Fuzzy Math. Inf., 3(2) (2012), 171–185.
  • [26] I. Zorlutuna, H. Cakir, On Continuity of Soft Mappings, Appl. Math. Inf. Sci., 9(1)( 2015), 403-409.
Yıl 2018, Sayı: 23, 93 - 104, 01.06.2018

Öz

Kaynakça

  • [1] M. Akdag , A. Ozkan, soft b-open sets and soft b-continuous functions, Math Sci 8:124 DOI 10.1007/s40096-014-0124-7 (2014).
  • [2] M. Akdag, A. Ozkan, On Soft Preopen Sets and Soft Pre Separation Axioms, Gazi University Journal of Science, 27 (4), (2014) 1077–1083.
  • [3] M. Akdag, A. Ozkan, On Soft β−Open Sets and Soft β−continuous Functions, The Scientific World Journal, Article ID 843456, 6 pages(2014).
  • [4] M. Akdag, A. Ozkan, On soft α-open sets and soft α-continuous functions, Abstract and Applied Analysis http//dx.doi.org/101155/2014/891341 2014 Article ID 891341,(2014), 7 pages.
  • [5] I. Arockiarani and A. A. Lancy, Generalized soft gβ- closed sets and soft gsβclosed sets in soft topological spaces. International Journal Of Mathematical Archive, 4(2) (2013), 1-7.
  • [6] M. Irfan Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Comput. Math. Appl., 57( 2009), 1547-1553.
  • [7] B. Chen , Soft semi-open sets and related properties in soft topological spaces, Appl. Math. Inf. Sci., 7, (1) (2013), 287–294.
  • [8] S. Hussain and B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl., 62 (2011), 4058-4067.
  • [9] A. Kharral and B. Ahmad, Mappings on soft classes, New Math. Nat. Comput., 7(3)(2011), 471-481.
  • [10] P. K. Maji, R. Biswas, R. Roy, Soft set theory, Comput. Math. Appl., 45 (2003), 555-562.
  • [11] P. Majumdar and S. K. Samanta, Similarity measure of soft sets, New Math. Nat. Comput., 4(1) (2008) 1-12.
  • [12] J. Mahanta and P. K. Das , On soft topological space via semi open and semi closed soft sets, Kyungpook Math. J., 54(2014), 221–236.
  • [13] W. K. Min, A note on soft topological spaces, Comput. Math. Appl., 62 (2011), 3524-3528.
  • [14] D. Molodtsov, Soft set theory first results, Comput. Math. Appl., 37 (1999), 19- 31. Gnanambal Ilango and Mrudula Ravindran, On Soft Preopen Sets in Soft Topological Spaces.International Journal of Mathematics Research, 5(4)(2013), 399-499.
  • [15] M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl., 61 (2011), 1786-1799.
  • [16] S. S. Thakur, Alpa Singh Rajput,Connectedness Between Soft Sets, New Mathematics and Natural Computation, 14( 1)(2018),1–19.
  • [17] S. S. Thakur and Alpa Singh Rajput, Extremally Disconnectedness in Soft Topological Spaces,(Submitted).
  • [18] S. S. Thakur and Alpa Singh Rajput, Soft Almost Continuous Mappings, International Journal of Advances in Mathematics, 2017 (1), (2017), 22-29.
  • [19] S. S. Thakur and Alpa Singh Rajput, Soft Almost α-Continuous Mappings,(Submitted).
  • [20] S. S. Thakur, Alpa Singh Rajput and M. R. Dhakad, Soft Almost SemiContinuous Mappings, Malaya J. Mat., 5(2)(2017), 395-400.
  • [21] S. S. Thakur and Alpa Singh Rajput, Soft Almost Pre-Continuous Mappings, The Journal of Fuzzy Mathematics, 26 (2)( 2018), 439–449.
  • [22] S. S. Thakur and Alpa Singh Rajput, Soft Almost β-Continuous Mappings, (Submitted).
  • [23] S. Yuksel., Soft Regular Generalized Closed Sets in Soft Topological Spaces, Int. Journal of Math. Analysis, 8 (8) (2014), 355-367.
  • [24] Y. Yumak, A. K. Kayamakci, Soft β-open sets and their application, arXiv:1312.6964(2013).
  • [25] I. Zorlutana, N. Akdag and W. K. Min, Remarks on soft topological spaces, Ann. Fuzzy Math. Inf., 3(2) (2012), 171–185.
  • [26] I. Zorlutuna, H. Cakir, On Continuity of Soft Mappings, Appl. Math. Inf. Sci., 9(1)( 2015), 403-409.
Toplam 26 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Samajh Singh Thakur Bu kişi benim

Alpa Singh Rajput Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2018
Gönderilme Tarihi 8 Nisan 2018
Yayımlandığı Sayı Yıl 2018 Sayı: 23

Kaynak Göster

APA Thakur, S. S., & Rajput, A. S. (2018). Soft Almost b-Continuous Mappings. Journal of New Theory(23), 93-104.
AMA Thakur SS, Rajput AS. Soft Almost b-Continuous Mappings. JNT. Haziran 2018;(23):93-104.
Chicago Thakur, Samajh Singh, ve Alpa Singh Rajput. “Soft Almost B-Continuous Mappings”. Journal of New Theory, sy. 23 (Haziran 2018): 93-104.
EndNote Thakur SS, Rajput AS (01 Haziran 2018) Soft Almost b-Continuous Mappings. Journal of New Theory 23 93–104.
IEEE S. S. Thakur ve A. S. Rajput, “Soft Almost b-Continuous Mappings”, JNT, sy. 23, ss. 93–104, Haziran 2018.
ISNAD Thakur, Samajh Singh - Rajput, Alpa Singh. “Soft Almost B-Continuous Mappings”. Journal of New Theory 23 (Haziran 2018), 93-104.
JAMA Thakur SS, Rajput AS. Soft Almost b-Continuous Mappings. JNT. 2018;:93–104.
MLA Thakur, Samajh Singh ve Alpa Singh Rajput. “Soft Almost B-Continuous Mappings”. Journal of New Theory, sy. 23, 2018, ss. 93-104.
Vancouver Thakur SS, Rajput AS. Soft Almost b-Continuous Mappings. JNT. 2018(23):93-104.


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