JOURNAL BROWSE
Search
Advanced SearchSearch Tips
SOFT IDEALS IN SOFT BCC-ALGEBRAS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
  • Journal title : Honam Mathematical Journal
  • Volume 31, Issue 3,  2009, pp.335-349
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2009.31.3.335
 Title & Authors
SOFT IDEALS IN SOFT BCC-ALGEBRAS
Jun, Young-Bae; Lee, Kyoung-Ja;
  PDF(new window)
 Abstract
Soft set theory by Molodtsov is applied to ideals in BCC-algebras. The notion of soft BCC-ideals of soft BCC-algebras and idealistic soft BCC-algebras are introduced, and several examples are provided. Relations between a fuzzy BCC-ideal and an idealistic soft BCC-algebra are given, and the characterization of idealistic soft BCC-algebras is established.
 Keywords
soft BCC-algebra;soft BCC-ideal;idealistic soft BCC-algebra;
 Language
English
 Cited by
 References
1.
H. Aktas and N. Cagman. Soft sets and soft groups. Inform. Sci. 177 (2007), 2726-2735. crossref(new window)

2.
D. Chen, E. C. C. Tsang, D. S. Yeunh and X. Wan g, The parametrization reduction of soft sets and its applications, Comput. Math. Appl. 49 (2005), 757-763. crossref(new window)

3.
W. A. Dudek and Y. B. Jun, Fuzzy BGG-ideals in BGG-algebras, Math. Montisnigri 10 (1999), 21-30.

4.
W. A. Dudek and X. H. Zhang, On ideals. and congruences in BCC-algebras, Czech. Math. J. 48(123) (1998), 21-29. crossref(new window)

5.
Y. B. Jun, Soft BGK/BGI-algebras, Comput. Math. Appl. 56 (2008), 1408-1413. crossref(new window)

6.
Y. B. Jun, K. J. Lee and M. A. Ozturk, Soft BGG-algebras. J. Appl. Math. & Informatics. 27 (2009), 1293-1305.

7.
Y. B. Jun. K. J. Lee and C. H. Park, Soft set the theory applied to ideals in d-aloebras, Comput. Math. Appl. 57 (2009), 367-378. crossref(new window)

8.
Y. B. Jun and C. H. Park, Applications of soft sets in ideals theory of BCK/BCI-algebras. Inform. Sci. 178 (2008), 2466-2475.

9.
P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Compu. Math. Appl. 45 (2003), 555-562. crossref(new window)

10.
P. K. Maji, A. R. Roy and R. Biswas. An application of soft sets in a decision making problem, Comput. Math. Appl. 44 (2002). 1077-1083. crossref(new window)

11.
D. Molodtsov, Soft set theory - First results. Comput. Math. Appl. 37 (1999), 19-31.

12.
L. A. Zadeh, From circuit theory to system theory. Proc. lost. Radio Eng. 50(1962), 856-865.

13.
L. A. Zadeh, Fuzzy sets Inform. Control 8 (1965), 338-353. crossref(new window)

14.
L. A. Zadeh, Toward a generalized theory of uncertainty (GTU) - an outline, Inform. Sci. 172 (2005), 1-40. crossref(new window)