Öz
Kaynakça
- D. Molodtsov, Soft set theory-first results, Comput. Math. Appl. 37 (4{--}5) (1999) 19-31.
- P. K. Maji, R. Biswas, A. R. Roy, Soft set theory, Comput. Math. Appl. 45 (4-5) (2003) 555-562.
- M. Shabir, M. Naz, On soft topological spaces, Comput. Math. Appl. 61 (7) (2011) 1786-1799.
- A. Aygünoğlu, H. Aygün, Some notes on soft topological spaces, Neural Computing and Applications, 21 (1) (2012) 113-119.
- W. K. Min, A note on soft topological spaces, Comput. Math. Appl. 62 (9) (2011) 3524-3528.
- I. Zorlutuna, M. Akdağ, W. K. Min, S. Atmaca, Remarks on soft topological spaces, Ann. Fuzzy Math. Inform. 3 (2) (2012) 171-185.
- S. Hussain, B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl. 62 (11) (2011) 4058-4067.
- B. Chen, Soft semi-open sets and related properties in soft topological spaces, Appl. Math. Inf. Sci. 7 (1) (2013) 287-294.
- I. Arockiarani, A. Arokialancy, Generalized soft g\beta-closed sets and soft gs\beta-closed sets in soft topological spaces, International Journal of Mathematical Archive 4 (2) (2013) 1-7.
- M. Akdağ, A. Özkan, Soft \alpha-Open Sets and Soft \alpha-Continuous Functions, Abstr. Appl. Anal. http://dx.doi.org/10.1155/2014/891341, (2014).
- Z. Güzel Ergül, Ş Yüksel, N. Tozlu, On soft generalized preregular closed and open sets in soft topological spaces, Applied Mathematical Sciences 8 (158) (2014) 7875-7884.
- A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh, A. M. Abd El-Latif, \gamma-operation and decompositions of some forms of soft continuity in soft topological spaces, Ann. Fuzzy Math. Inform. 7 (2) (2014) 181-96.
- K. Kannan, Soft generalized closed sets in soft topological spaces, Journal of Theoretical and Appl. Inform. Technology 37 (1) (2012) 17-21.
- A.H. Kocaman, N. Tozlu, Soft locally closed sets and decompositions of soft continuity, Annals of Fuzzy Mathematics and Informatics 11 (2) (2016) 173-181.
- J. Mahanta, P. K. Das, On soft topological space via semi-open and semi-closed soft sets, Cornell University Library, 2012.
- N. Tozlu, S. Yuksel 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) (2014) 58-69.
- N. Tozlu and S. YUksel, Soft A-sets and soft B-sets in Soft Topological spaces, Mathematical Sciences and Applications E-Notes 5 (2) (2017) 17-25.
- S. Yuksel, N. Tozlu, Z. Guzel Ergul, On soft generalized closed sets in soft topological spaces}, Journal of Theoretical and Appl. Inform. Technology 55 (2) (2013) 17-21.
- S. Yuksel, N. Tozlu and Z. Guzel Ergul, Soft regular generalized closed sets in soft topological spaces}, International Journal of Mathematical Analysis 8 (8) (2014) 355-367.
- F. Feng, Y. B. Jun, X. Z. Zhao, Soft semirings, Comput. Math. Appl. 56 (2008) 2621-2628.
- C. Sekar, J. Subhashinin, Related properties of soft dense and soft pre-open sets in soft topological spaces, International Journal of Innovative and Applied Research 2 (9) (2014) 34-48.
- A. Kharal, B. Ahmad, Mappings on Soft Classes, New Math. Nat. Comput. 7 (3) (2011) 471-481.
Öz
In this paper, we introduce the concepts of soft \alhaA-set, soft \alphaB-set,
soft \alphaC-set and soft \alphaLC-set in soft topological spaces which are defi ned over an
initial universe with a fixed set of parameters and discuss their relationships with
each other and other weaker forms of soft open sets with counterexamples. We
also investigate soft \alphaA-continuity, soft \alphaB-continuity, soft \alphaC-continuity and soft
\alphaLC-continuity. Finally, we obtain two decompositions of soft \alpha-continuity and a decomposition of soft A-continuity.
Anahtar Kelimeler
Soft set Soft topological space Soft \alphaA-set Soft \alphaB-set Soft \alphaC-set Soft \alphaLC-set Soft \alphaA-continuous function Soft \alphaB-continuous function Soft \alphaC-continuous function Soft \alphaLC-continuous function
Kaynakça
- D. Molodtsov, Soft set theory-first results, Comput. Math. Appl. 37 (4{--}5) (1999) 19-31.
- P. K. Maji, R. Biswas, A. R. Roy, Soft set theory, Comput. Math. Appl. 45 (4-5) (2003) 555-562.
- M. Shabir, M. Naz, On soft topological spaces, Comput. Math. Appl. 61 (7) (2011) 1786-1799.
- A. Aygünoğlu, H. Aygün, Some notes on soft topological spaces, Neural Computing and Applications, 21 (1) (2012) 113-119.
- W. K. Min, A note on soft topological spaces, Comput. Math. Appl. 62 (9) (2011) 3524-3528.
- I. Zorlutuna, M. Akdağ, W. K. Min, S. Atmaca, Remarks on soft topological spaces, Ann. Fuzzy Math. Inform. 3 (2) (2012) 171-185.
- S. Hussain, B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl. 62 (11) (2011) 4058-4067.
- B. Chen, Soft semi-open sets and related properties in soft topological spaces, Appl. Math. Inf. Sci. 7 (1) (2013) 287-294.
- I. Arockiarani, A. Arokialancy, Generalized soft g\beta-closed sets and soft gs\beta-closed sets in soft topological spaces, International Journal of Mathematical Archive 4 (2) (2013) 1-7.
- M. Akdağ, A. Özkan, Soft \alpha-Open Sets and Soft \alpha-Continuous Functions, Abstr. Appl. Anal. http://dx.doi.org/10.1155/2014/891341, (2014).
- Z. Güzel Ergül, Ş Yüksel, N. Tozlu, On soft generalized preregular closed and open sets in soft topological spaces, Applied Mathematical Sciences 8 (158) (2014) 7875-7884.
- A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh, A. M. Abd El-Latif, \gamma-operation and decompositions of some forms of soft continuity in soft topological spaces, Ann. Fuzzy Math. Inform. 7 (2) (2014) 181-96.
- K. Kannan, Soft generalized closed sets in soft topological spaces, Journal of Theoretical and Appl. Inform. Technology 37 (1) (2012) 17-21.
- A.H. Kocaman, N. Tozlu, Soft locally closed sets and decompositions of soft continuity, Annals of Fuzzy Mathematics and Informatics 11 (2) (2016) 173-181.
- J. Mahanta, P. K. Das, On soft topological space via semi-open and semi-closed soft sets, Cornell University Library, 2012.
- N. Tozlu, S. Yuksel 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) (2014) 58-69.
- N. Tozlu and S. YUksel, Soft A-sets and soft B-sets in Soft Topological spaces, Mathematical Sciences and Applications E-Notes 5 (2) (2017) 17-25.
- S. Yuksel, N. Tozlu, Z. Guzel Ergul, On soft generalized closed sets in soft topological spaces}, Journal of Theoretical and Appl. Inform. Technology 55 (2) (2013) 17-21.
- S. Yuksel, N. Tozlu and Z. Guzel Ergul, Soft regular generalized closed sets in soft topological spaces}, International Journal of Mathematical Analysis 8 (8) (2014) 355-367.
- F. Feng, Y. B. Jun, X. Z. Zhao, Soft semirings, Comput. Math. Appl. 56 (2008) 2621-2628.
- C. Sekar, J. Subhashinin, Related properties of soft dense and soft pre-open sets in soft topological spaces, International Journal of Innovative and Applied Research 2 (9) (2014) 34-48.
- A. Kharal, B. Ahmad, Mappings on Soft Classes, New Math. Nat. Comput. 7 (3) (2011) 471-481.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 30 Haziran 2020 |
| Gönderilme Tarihi | 2 Ocak 2019 |
| Yayımlandığı Sayı | Yıl 2020 Sayı: 31 |
Kaynak Göster
- Makale Dosyaları
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