Araştırma Makalesi
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NEW DECOMPOSITIONS OF SOFT CONTINUITY IN SOFT TOPOLOGICAL SPACES

Yıl 2023, Cilt: 6 Sayı: 1, 89 - 98, 31.01.2023
https://doi.org/10.33773/jum.1202907

Öz

The aim of this paper is to produce new decompositions of soft continuity.
For this reason, we first have introduced two new sets concepts named as
soft AC-set with soft BC-set in soft topological spaces. Compairing with
this two soft sets concepts and others soft set kinds, we have obtained two
decompositions of soft open sets, supported by counterexamples. Utilizing
soft AC-set and soft BC-set concepts, we have introduced two functions
concepts named as soft AC-continuous with soft BC-continuous functions and
we have obtained a new decomposition of soft continuity.

Kaynakça

  • M. Akdağ and A. Özkan, Soft _-open sets and soft _-continuous functions, Abstract and Applied Analysis, http://dx.doi.org/10.1155/2014/891341 (2014).
  • M. Akdağ and A. Özkan, Soft b-open sets and soft b-continuous functions, Math. Sci. 8(124), pp. 1-9 (2014).
  • A. Aygünoğlu and H. Aygün, Some notes on soft topological spaces, Neural Computing and Applications, 21(1) pp. 113-119 (2012).
  • B. Chen, Soft semi-open sets and related properties in soft topological spaces, Applied Mathematics & Information Sciences 7(1), pp. 287-294 (2013).
  • F. Feng, Y. B. Jun and X. Z. Zhao, Soft semirings, Computers and Mathematics with Applications 56, pp. 2621-2628 (2008).
  • S. Hussain and B. Ahmad, Some properties of soft topological spaces, Computers and Mathematics with Applications 62(11), pp. 4058-4067 (2011).
  • A. Kharal and B. Ahmad, Mappings on soft classes, New Mathematics and Natural Computation 7(3), pp. 471-481 (2011).
  • J. Mahanta and P. K. Das, On soft topological space via semi-open and semiclosed soft sets, Cornell University Library arXiv:1203.4133 (2012).
  • P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Computers and Mathematics with Applications 45(4-5), pp. 555-562 (2003).
  • W. K. Min, A note on soft topological spaces, Computers and Mathematics with Applications 62(9), pp. 3524-3528 (2011).
  • D. Molodtsov, Soft set theory-_rst results, Computers and Mathematics with Applications 37(4-5), pp. 19-31 (1999).
  • M. Shabir and M. Naz, On soft topological spaces, Computers and Mathematics with Applications 61(7), pp. 1786-1799 (2011).
  • N. Tozlu, Ş. Yüksel and Z. Güzel Ergül, Soft C-Sets and a Decomposition of Soft Continuity in Soft Topological Spaces, International Journal of Mathematics Trends and Technology 16(1), pp. 58-69 (2014).
  • N. Tozlu and Ş. Yüksel, Soft A-sets and soft B-sets in soft topological spaces, Mathematical Sciences and Applications E-Notes 5(2), pp. 17-25 (2017). Z. Güzel Ergül and N. Tozlu, Decompositions of soft continuity and soft AB-continuity, Annals of Fuzzy Mathematics and Informatics 14(5), pp. 463-474 (2017).
  • Ş. Yüksel, N. Tozlu and Z. Güzel Ergül, Soft regular generalized closed sets in soft topological spaces, International Journal of Mathematical Analysis 8(8), pp. 355-367 (2014).
  • I. Zorlutuna, M. Akda_g, W. K. Min and S. Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics 3(2), pp. 171-185 (2012).
Yıl 2023, Cilt: 6 Sayı: 1, 89 - 98, 31.01.2023
https://doi.org/10.33773/jum.1202907

Öz

Kaynakça

  • M. Akdağ and A. Özkan, Soft _-open sets and soft _-continuous functions, Abstract and Applied Analysis, http://dx.doi.org/10.1155/2014/891341 (2014).
  • M. Akdağ and A. Özkan, Soft b-open sets and soft b-continuous functions, Math. Sci. 8(124), pp. 1-9 (2014).
  • A. Aygünoğlu and H. Aygün, Some notes on soft topological spaces, Neural Computing and Applications, 21(1) pp. 113-119 (2012).
  • B. Chen, Soft semi-open sets and related properties in soft topological spaces, Applied Mathematics & Information Sciences 7(1), pp. 287-294 (2013).
  • F. Feng, Y. B. Jun and X. Z. Zhao, Soft semirings, Computers and Mathematics with Applications 56, pp. 2621-2628 (2008).
  • S. Hussain and B. Ahmad, Some properties of soft topological spaces, Computers and Mathematics with Applications 62(11), pp. 4058-4067 (2011).
  • A. Kharal and B. Ahmad, Mappings on soft classes, New Mathematics and Natural Computation 7(3), pp. 471-481 (2011).
  • J. Mahanta and P. K. Das, On soft topological space via semi-open and semiclosed soft sets, Cornell University Library arXiv:1203.4133 (2012).
  • P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Computers and Mathematics with Applications 45(4-5), pp. 555-562 (2003).
  • W. K. Min, A note on soft topological spaces, Computers and Mathematics with Applications 62(9), pp. 3524-3528 (2011).
  • D. Molodtsov, Soft set theory-_rst results, Computers and Mathematics with Applications 37(4-5), pp. 19-31 (1999).
  • M. Shabir and M. Naz, On soft topological spaces, Computers and Mathematics with Applications 61(7), pp. 1786-1799 (2011).
  • N. Tozlu, Ş. Yüksel and Z. Güzel Ergül, Soft C-Sets and a Decomposition of Soft Continuity in Soft Topological Spaces, International Journal of Mathematics Trends and Technology 16(1), pp. 58-69 (2014).
  • N. Tozlu and Ş. Yüksel, Soft A-sets and soft B-sets in soft topological spaces, Mathematical Sciences and Applications E-Notes 5(2), pp. 17-25 (2017). Z. Güzel Ergül and N. Tozlu, Decompositions of soft continuity and soft AB-continuity, Annals of Fuzzy Mathematics and Informatics 14(5), pp. 463-474 (2017).
  • Ş. Yüksel, N. Tozlu and Z. Güzel Ergül, Soft regular generalized closed sets in soft topological spaces, International Journal of Mathematical Analysis 8(8), pp. 355-367 (2014).
  • I. Zorlutuna, M. Akda_g, W. K. Min and S. Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics 3(2), pp. 171-185 (2012).
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Zehra Güzel Ergül 0000-0001-5717-1626

Yayımlanma Tarihi 31 Ocak 2023
Gönderilme Tarihi 11 Kasım 2022
Kabul Tarihi 30 Ocak 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 6 Sayı: 1

Kaynak Göster

APA Güzel Ergül, Z. (2023). NEW DECOMPOSITIONS OF SOFT CONTINUITY IN SOFT TOPOLOGICAL SPACES. Journal of Universal Mathematics, 6(1), 89-98. https://doi.org/10.33773/jum.1202907
AMA Güzel Ergül Z. NEW DECOMPOSITIONS OF SOFT CONTINUITY IN SOFT TOPOLOGICAL SPACES. JUM. Ocak 2023;6(1):89-98. doi:10.33773/jum.1202907
Chicago Güzel Ergül, Zehra. “NEW DECOMPOSITIONS OF SOFT CONTINUITY IN SOFT TOPOLOGICAL SPACES”. Journal of Universal Mathematics 6, sy. 1 (Ocak 2023): 89-98. https://doi.org/10.33773/jum.1202907.
EndNote Güzel Ergül Z (01 Ocak 2023) NEW DECOMPOSITIONS OF SOFT CONTINUITY IN SOFT TOPOLOGICAL SPACES. Journal of Universal Mathematics 6 1 89–98.
IEEE Z. Güzel Ergül, “NEW DECOMPOSITIONS OF SOFT CONTINUITY IN SOFT TOPOLOGICAL SPACES”, JUM, c. 6, sy. 1, ss. 89–98, 2023, doi: 10.33773/jum.1202907.
ISNAD Güzel Ergül, Zehra. “NEW DECOMPOSITIONS OF SOFT CONTINUITY IN SOFT TOPOLOGICAL SPACES”. Journal of Universal Mathematics 6/1 (Ocak 2023), 89-98. https://doi.org/10.33773/jum.1202907.
JAMA Güzel Ergül Z. NEW DECOMPOSITIONS OF SOFT CONTINUITY IN SOFT TOPOLOGICAL SPACES. JUM. 2023;6:89–98.
MLA Güzel Ergül, Zehra. “NEW DECOMPOSITIONS OF SOFT CONTINUITY IN SOFT TOPOLOGICAL SPACES”. Journal of Universal Mathematics, c. 6, sy. 1, 2023, ss. 89-98, doi:10.33773/jum.1202907.
Vancouver Güzel Ergül Z. NEW DECOMPOSITIONS OF SOFT CONTINUITY IN SOFT TOPOLOGICAL SPACES. JUM. 2023;6(1):89-98.