Year 2014,
Volume: 27 Issue: 3, 923 - 932, 30.01.2014
Metin Akdağ
Fethullah Erol
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F. Feng, Y.B. Zhao, Soft semirings, Computer and Mathematics with Applications, 56 (2008), 2621- 2628.
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P.K. Maji, B. Biswas and A.R. Roy, Soft set theory, Applications, 45 (2003), 555-562. Mathematics with
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M.I. Ali, F. Feng, X. Liu, W.K. Min and M. Shabir, On some new operations in soft set theory, Computer and Mathematics with Applications, 57 (2009), 1547-1553.
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I. Zorlutuna, M. Akdag, W.K. Min and S. Atmaca, Remarks on soft topological spaces, to appear in Annals of Fuzzy Mathematics and Informatics.
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W. Rong, The countabilities of soft topological spaces, International Journal of Computational and Mathematical Sciences, 6 (2012).
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J. Mahanta, P.K. Das, On soft topological space via semiopen and semiclosed soft sets.
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A. Kandil, O.A.E. Tantawy, S.A. El-Sheikh, A.M. Abd El-Latif, γoperation and decomposition of some forms of soft continuity in soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 2013.
Soft I-sets and Soft I-Continuity of Functions
Year 2014,
Volume: 27 Issue: 3, 923 - 932, 30.01.2014
Metin Akdağ
Fethullah Erol
Abstract
The topic of ideals in general topological spaces is treated in the classic text by Kuratowski [6]. This topic has an excellent potantial for applications in other branches of mathematics. The Cantor-Bendixson Theorem examplies this potantial. This subject was continued to study by general topologists in recent years [6; 11; 15; 17] : Kale and Guler [8] gave the denition of soft ideal in the soft topological spaces and studied some properties. In this paper, the soft I-continuous and soft I-open functions, has been defined and studied. Some characterizations and several properties concerning these functions are obtained.
References
-
D. Moldtsov, Soft set theory-First results, Computers and Mathematics with Applications, 37 (1999) 19-31.
-
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, Computation, Vol.7 No.3 (2011) 471-481. and Natural
-
A. Aygunoglu and H. A. Aygun, Some notes on spaces, soft topological Natural Computer
-
H. Hashimoto, On the ∗topology and its
-
applications, Fund. Math., (1976) 91, 5-10.
-
T.R. Hamlett and D. Jankovic, Ideals in topological spaces and the set operator Ψ, Bollettino U.M.I., (1990) vol. 7, 863-874.
-
M.E. Abd El-Monsef, E.F. Lashien and A.A. Nasef, On I-open sets and I-continuous functions, Kyungpook Math. J., (1992) vol. 32 (1), 21-30
-
E. Hatır and T. Noiri, On semi-I-continuous sets and semi-I-continuous functions, Acta. Math. Hungar., (2005), 107 (4), 345-353.
-
D. Jankovic, T.R. Hamlett, Compatible extensions of ideals, Boll. Un. Mat. Ital. (7), 6-B (1992) 453- 465.
-
E. Hatır and T. Noiri, On decompositions o fcontinuity via idealization, Acta. Math. Hungar., 96 (2002), 341-349.
-
J. Dontchev, On pre-I-open sets and a decomposition of I-continuity, Banyan Math. J., 2 (1996).
-
G. Kale and A.Caksu Guler, On Soft Ideal Topological Spaces, Neural Computing and Applications, 1-14.
-
F. Feng, Y.B. Zhao, Soft semirings, Computer and Mathematics with Applications, 56 (2008), 2621- 2628.
-
P.K. Maji, B. Biswas and A.R. Roy, Soft set theory, Applications, 45 (2003), 555-562. Mathematics with
-
M.I. Ali, F. Feng, X. Liu, W.K. Min and M. Shabir, On some new operations in soft set theory, Computer and Mathematics with Applications, 57 (2009), 1547-1553.
-
I. Zorlutuna, M. Akdag, W.K. Min and S. Atmaca, Remarks on soft topological spaces, to appear in Annals of Fuzzy Mathematics and Informatics.
-
W. Rong, The countabilities of soft topological spaces, International Journal of Computational and Mathematical Sciences, 6 (2012).
-
J. Mahanta, P.K. Das, On soft topological space via semiopen and semiclosed soft sets.
-
A. Kandil, O.A.E. Tantawy, S.A. El-Sheikh, A.M. Abd El-Latif, γoperation and decomposition of some forms of soft continuity in soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 2013.