Soft Semi-I-Continuous Functions

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

1. D. Moldtsov, Soft set theory-First results, Computers and Mathematics with Applications, 37 (1999) 19-31.
2. N.Cagman and S. Enginoglu, Soft set theory and uni-int, decision making, European Journal of Operational Research, 207, 848-855,(2010)
3. M. Shabir and M. Naz, On soft topological spaces, Computers and Mathematics with Applications, 61 (2011) 1786-1799.
4. A. Kharal and B. Ahmad, Mappings on soft classes, New Mathematics and Natural Computation, Vol.7 No.3 (2011) 471-481.
5. A. Aygunoglu and H. A. Aygun, Some notes on soft topological spaces, Natural Computer Application, DOI 10. 1007/s 00521-011-0722-3 (2011)
6. S.K. Nazmul and S.K. Samanta, Neighbourhood properties of soft topological spaces, Annals of Fuzzy Mathematics and Informatics.
7. K. Kuratowski, Topology, Vol. I, Academic Press, New York, 1966.
8. T.R. Hamlett and D. Jankovic, Ideals in topological spaces and the set operator ߖ, Bollettino U.M.I., (1990) vol. 7, 863-874.

9. D. Jankovic, T.R. Hamlett, Compatible extensions of ideals, Boll. Un. Mat. Ital. (7), 6-B (1992) 453-465.
10. J. Dontchev, On pre-I-open sets and a decomposition of ܫ-continuity, Banyan Math. J., 2 (1996).
11. D. Jankovic, T.R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly 97 (4) (1990) 295- 310
12. H. Hashimoto, On some local properties on spaces, Math. Japonica, (1952) II, 127-134.
13. H. Hashimoto, On The ∗-topology and its applications, Fund. Math., (1976) 91, 5-10.
14. 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
15. G. Kale and A.C. Guler, On Soft Ideal Topological Applications, 1-14. Computing and