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Soft Semi-I-Continuous Functions

Year 2015, Volume: 28 Issue: 1, 37 - 44, 23.02.2015

Metin Akdağ Fethullah Erol , Yunus Bingöl

Abstract

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.

Keywords

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

References

  • 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

Year 2015, Volume: 28 Issue: 1, 37 - 44, 23.02.2015

Metin Akdağ Fethullah Erol , Yunus Bingöl

Abstract

References

  • 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
There are 15 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Metin Akdağ This is me

Fethullah Erol

Yunus Bingöl This is me

Publication Date February 23, 2015
Published in Issue Year 2015 Volume: 28 Issue: 1

Cite

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. February 2015;28(1):37-44.
Chicago Akdağ, Metin, Fethullah Erol, and Yunus Bingöl. “Soft Semi-I-Continuous Functions”. Gazi University Journal of Science 28, no. 1 (February 2015): 37-44.
EndNote Akdağ M, Erol F, Bingöl Y (February 1, 2015) Soft Semi-I-Continuous Functions. Gazi University Journal of Science 28 1 37–44.
IEEE M. Akdağ, F. Erol, and Y. Bingöl, “Soft Semi-I-Continuous Functions”, Gazi University Journal of Science, vol. 28, no. 1, pp. 37–44, 2015.
ISNAD Akdağ, Metin et al. “Soft Semi-I-Continuous Functions”. Gazi University Journal of Science 28/1 (February2015), 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 et al. “Soft Semi-I-Continuous Functions”. Gazi University Journal of Science, vol. 28, no. 1, 2015, pp. 37-44.
Vancouver Akdağ M, Erol F, Bingöl Y. Soft Semi-I-Continuous Functions. Gazi University Journal of Science. 2015;28(1):37-44.