Filteristic Soft BCK-Algebras
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Authors
R. Ameri
- Department of Mathematics, Tehran University, Tehran, IRAN
H. Hedayati
- Department of Mathematics, Noshirvani University of Technology, Babol, IRAN
E. Ghasemian
- Department of Mathematics, Mazandaran University, Babolsar, IRAN
Abstract
We study the soft sets applied on the structure of filters of BCK-algebras. A connection between soft BCK-algebras and filteristic soft BCK-algebras is given also. Finally, important operations such as intersection, union, “AND”, “OR”, and subset operations of soft filters and filteristic soft BCK-algebras are investigated.
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ISRP Style
R. Ameri, H. Hedayati, E. Ghasemian, Filteristic Soft BCK-Algebras, Journal of Mathematics and Computer Science, 2 (2011), no. 1, 81--87
AMA Style
Ameri R., Hedayati H., Ghasemian E., Filteristic Soft BCK-Algebras. J Math Comput SCI-JM. (2011); 2(1):81--87
Chicago/Turabian Style
Ameri, R., Hedayati, H., Ghasemian, E.. "Filteristic Soft BCK-Algebras." Journal of Mathematics and Computer Science, 2, no. 1 (2011): 81--87
Keywords
- BCK-algebras
- filteristic soft BCK-algebras
- BCK and BCI logics
- BCI-algebras
MSC
References
-
[1]
H. Aktaş, N. Çağman, Soft sets and groups, Inform. Sci., 177 (2007), 2726--2735
-
[2]
D. Chen, E. C. C. Tsang, D. S. Yeung, X. Wang, The parametrization reduction of soft sets and its applications, Comput. Math. Appl., 49 (2005), 757--763
-
[3]
C. S. Hoo, Fuzzy ideals in BCI-algebras, Math. Japon., 36 (1991), 987--997
-
[4]
Y. B. Jun, Soft BCK/BCI-algebras, Comput. Math. Appl., 56 (2008), 1408--1413
-
[5]
Y. B. Jun, C. H. Park, A pplications of soft sets in ideal theory of BCK-BCI-algebras, Inform. Sci., 178 (2008), 1466--2475
-
[6]
P. K. Maji, R. Biswas, A. R. Roy, Soft set theory, Comput. Math. Appl., 45 (2003), 555--562
-
[7]
P. K. Maji, A. R. Roy, R. Biswas, An application of soft ses in a decision making problem, Comput. Math. Appl., 44 (2002), 1077--1083
-
[8]
D. Molodtsov, Soft set theory--first results, Comput. Math. Appl., 37 (1991), 19--31
-
[9]
J. Meng, Y. B. Jun, BCK-algebras, Kyung Moon Sa, Seoul (1994)
-
[10]
Z. Pawlak, A. Skowron, Rough sets: Some extension, Inform. Sci., 177 (2007), 28--40
-
[11]
L. A. Zadeh, Toward a generalized theory of uncertainty (GTU)--an outline, Inform. Sci., 172 (2005), 1--40