On New Decompositions of Some Soft Continuity Types
Abstract
In this paper, we introduce the concepts of δ - open
soft sets, β∗ - soft sets in a soft topological space and so we define
the notions of δ - soft continuity, β∗ - soft continuity between soft
topological spaces via δ - open, β∗ - soft sets. Also, we obtain
decompositions of semi - soft continuity and α - soft continuity
via δ - soft continuity. Finally, we show that a function is soft
continuous if and only if it is both α - soft continuous and β∗ -
soft continuous
Keywords
δ - open soft set,δ - soft continuity,β∗ - soft set,β∗ - soft continuity
References
- M.I. Ali, F. Feng, X. Liu, W.K. Min, M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications, 57, 1547-1553, 2009.
- S. Hussain, B. Ahmad, Some properties of soft topological space, Computers and Mathematics with Applications, 62, 4058-4067, 2011.
- A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh, A. M. ABD El-Latif, γ - operation and decompositions of some forms of soft continuity in soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 7 (2), 181-196, 2014.
- P.K. Maji, R. Biswas, A.R. Roy, Soft set theory, Computers and Mathematics with Applications, 45, 555-562, 2003.
- D. Molodtsov, Soft set theory - First results, Computers and Mathematics with Applications, 37, 19-31, 1999.
- M. Shabir, M. Naz, On soft topological spaces, Computers and Mathematics with Applications, 61, 1786-1799, 2011.
- I. Zorlutuna, M. Akdag, W.K. Min, S.Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3, 171-185, 2012.