Research Article
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Soft Almost b-Continuous Mappings

Year 2018, Issue: 23, 93 - 104, 01.06.2018

Abstract

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.

References

  • [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.
Year 2018, Issue: 23, 93 - 104, 01.06.2018

Abstract

References

  • [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.
There are 26 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Samajh Singh Thakur This is me

Alpa Singh Rajput This is me

Publication Date June 1, 2018
Submission Date April 8, 2018
Published in Issue Year 2018 Issue: 23

Cite

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. June 2018;(23):93-104.
Chicago Thakur, Samajh Singh, and Alpa Singh Rajput. “Soft Almost B-Continuous Mappings”. Journal of New Theory, no. 23 (June 2018): 93-104.
EndNote Thakur SS, Rajput AS (June 1, 2018) Soft Almost b-Continuous Mappings. Journal of New Theory 23 93–104.
IEEE S. S. Thakur and A. S. Rajput, “Soft Almost b-Continuous Mappings”, JNT, no. 23, pp. 93–104, June 2018.
ISNAD Thakur, Samajh Singh - Rajput, Alpa Singh. “Soft Almost B-Continuous Mappings”. Journal of New Theory 23 (June 2018), 93-104.
JAMA Thakur SS, Rajput AS. Soft Almost b-Continuous Mappings. JNT. 2018;:93–104.
MLA Thakur, Samajh Singh and Alpa Singh Rajput. “Soft Almost B-Continuous Mappings”. Journal of New Theory, no. 23, 2018, pp. 93-104.
Vancouver Thakur SS, Rajput AS. Soft Almost b-Continuous Mappings. JNT. 2018(23):93-104.


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