Research Article
Year 2015,
Volume: 28 Issue: 1, 37 - 44, 23.02.2015
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.
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
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 | Mathematics |
| Authors | |
| Publication Date | February 23, 2015 |
| Published in Issue | Year 2015 Volume: 28 Issue: 1 |