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Soft Semi-I-Continuous Functions

Yıl 2015, Cilt: 28 Sayı: 1, 37 - 44, 23.02.2015

Metin Akdağ Fethullah Erol , Yunus Bingöl

Öz

In this paper, we introduce and study the concept of soft semi-I-open sets with respect to an ideal, which is the extension of the concept of soft semi-I-open set. Then using these sets, we also study soft semi-I-continuous and soft semi-I-open functions and obtained some characterizations and several properties concerning these functions.

Anahtar Kelimeler

Soft sets soft semi sets soft semi-I continuity of functions

Kaynakça

  • D. Moldtsov, Soft set theory-First results, Computers and Mathematics with Applications, 37 (1999) 19-31.
  • N.Cagman and S. Enginoglu, Soft set theory and uni-int, decision making, European Journal of Operational Research, 207, 848-855,(2010)
  • M. Shabir and M. Naz, On soft topological spaces, Computers and Mathematics with Applications, 61 (2011) 1786-1799.
  • A. Kharal and B. Ahmad, Mappings on soft classes, New Mathematics and Natural Computation, Vol.7 No.3 (2011) 471-481.
  • A. Aygunoglu and H. A. Aygun, Some notes on soft topological spaces, Natural Computer Application, DOI 10. 1007/s 00521-011-0722-3 (2011)
  • S.K. Nazmul and S.K. Samanta, Neighbourhood properties of soft topological spaces, Annals of Fuzzy Mathematics and Informatics.
  • K. Kuratowski, Topology, Vol. I, Academic Press, New York, 1966.
  • T.R. Hamlett and D. Jankovic, Ideals in topological spaces and the set operator ߖ, Bollettino U.M.I., (1990) vol. 7, 863-874.
  • D. Jankovic, T.R. Hamlett, Compatible extensions of ideals, Boll. Un. Mat. Ital. (7), 6-B (1992) 453-465.
  • J. Dontchev, On pre-I-open sets and a decomposition of ܫ-continuity, Banyan Math. J., 2 (1996).
  • D. Jankovic, T.R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly 97 (4) (1990) 295- 310
  • H. Hashimoto, On some local properties on spaces, Math. Japonica, (1952) II, 127-134.
  • H. Hashimoto, On The ∗-topology and its applications, Fund. Math., (1976) 91, 5-10.
  • M.E. Abd El-Monsef, E.F. Lashien and A.A. Nasef, On I-open sets and ܫ-continuous functions, Kyungpook Math. J., (1992) vol. 32(1), 21-30
  • G. Kale and A.C. Guler, On Soft Ideal Topological Applications, 1-14. Computing and

Yıl 2015, Cilt: 28 Sayı: 1, 37 - 44, 23.02.2015

Metin Akdağ Fethullah Erol , Yunus Bingöl

Öz

Kaynakça

  • D. Moldtsov, Soft set theory-First results, Computers and Mathematics with Applications, 37 (1999) 19-31.
  • N.Cagman and S. Enginoglu, Soft set theory and uni-int, decision making, European Journal of Operational Research, 207, 848-855,(2010)
  • M. Shabir and M. Naz, On soft topological spaces, Computers and Mathematics with Applications, 61 (2011) 1786-1799.
  • A. Kharal and B. Ahmad, Mappings on soft classes, New Mathematics and Natural Computation, Vol.7 No.3 (2011) 471-481.
  • A. Aygunoglu and H. A. Aygun, Some notes on soft topological spaces, Natural Computer Application, DOI 10. 1007/s 00521-011-0722-3 (2011)
  • S.K. Nazmul and S.K. Samanta, Neighbourhood properties of soft topological spaces, Annals of Fuzzy Mathematics and Informatics.
  • K. Kuratowski, Topology, Vol. I, Academic Press, New York, 1966.
  • T.R. Hamlett and D. Jankovic, Ideals in topological spaces and the set operator ߖ, Bollettino U.M.I., (1990) vol. 7, 863-874.
  • D. Jankovic, T.R. Hamlett, Compatible extensions of ideals, Boll. Un. Mat. Ital. (7), 6-B (1992) 453-465.
  • J. Dontchev, On pre-I-open sets and a decomposition of ܫ-continuity, Banyan Math. J., 2 (1996).
  • D. Jankovic, T.R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly 97 (4) (1990) 295- 310
  • H. Hashimoto, On some local properties on spaces, Math. Japonica, (1952) II, 127-134.
  • H. Hashimoto, On The ∗-topology and its applications, Fund. Math., (1976) 91, 5-10.
  • M.E. Abd El-Monsef, E.F. Lashien and A.A. Nasef, On I-open sets and ܫ-continuous functions, Kyungpook Math. J., (1992) vol. 32(1), 21-30
  • G. Kale and A.C. Guler, On Soft Ideal Topological Applications, 1-14. Computing and
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Mathematics
Yazarlar

Metin Akdağ Bu kişi benim

Fethullah Erol

Yunus Bingöl Bu kişi benim

Yayımlanma Tarihi 23 Şubat 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 28 Sayı: 1

Kaynak Göster

APA Akdağ, M., Erol, F., & Bingöl, Y. (2015). Soft Semi-I-Continuous Functions. Gazi University Journal of Science, 28(1), 37-44.
AMA Akdağ M, Erol F, Bingöl Y. Soft Semi-I-Continuous Functions. Gazi University Journal of Science. Şubat 2015;28(1):37-44.
Chicago Akdağ, Metin, Fethullah Erol, ve Yunus Bingöl. “Soft Semi-I-Continuous Functions”. Gazi University Journal of Science 28, sy. 1 (Şubat 2015): 37-44.
EndNote Akdağ M, Erol F, Bingöl Y (01 Şubat 2015) Soft Semi-I-Continuous Functions. Gazi University Journal of Science 28 1 37–44.
IEEE M. Akdağ, F. Erol, ve Y. Bingöl, “Soft Semi-I-Continuous Functions”, Gazi University Journal of Science, c. 28, sy. 1, ss. 37–44, 2015.
ISNAD Akdağ, Metin vd. “Soft Semi-I-Continuous Functions”. Gazi University Journal of Science 28/1 (Şubat 2015), 37-44.
JAMA Akdağ M, Erol F, Bingöl Y. Soft Semi-I-Continuous Functions. Gazi University Journal of Science. 2015;28:37–44.
MLA Akdağ, Metin vd. “Soft Semi-I-Continuous Functions”. Gazi University Journal of Science, c. 28, sy. 1, 2015, ss. 37-44.
Vancouver Akdağ M, Erol F, Bingöl Y. Soft Semi-I-Continuous Functions. Gazi University Journal of Science. 2015;28(1):37-44.