Browse > Article
http://dx.doi.org/10.5391/IJFIS.2007.7.2.115

Fuzzy ideals of subtraction algebras  

Kim, Young-Hee (Department of Mathematics, Chungbuk National University)
Oh, Kyong-Ah (Department of Mathematics, Chungbuk National University)
Roh, Eun-Hawan (Department of Mathematics Education, Chinju National University of Education)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.7, no.2, 2007 , pp. 115-119 More about this Journal
Abstract
The notion of ideals in subtraction algebras and characterizations of ideals introduced by Y.B.Jun et al. [?]. Using this idea, we consider the fuzzification of an ideal of a subtraction algebra. In this paper, we define the concept of a fuzzy ideal of a subtraction algebra and study characterizations of a fuzzy ideal. We give some conditions to show that a fuzzy set in a subtraction algebra is a fuzzy ideal of a subtraction algebra. We investigate the generalization of some properties of a fuzzy ideal of a subtraction algebra.
Keywords
subtraction algebra; ideal; fuzzy ideal; level ideal;
Citations & Related Records
연도 인용수 순위
  • Reference
1 G. Birkhoff, Lattice Theory, Amer. Math. Soc. Colloq. Publ., Vol. 25, second edition 1984; third edition, 1967, Providence
2 B. Zelinka, Subtraction Semigroups, Math. Bohemica, 120 (1995), 445-447
3 J. C. Abbott, Sets, Lattices and Boolean Algebras, Allyn and Bacon, Boston 1986
4 Y. B. Jun, H. S. Kim and E. H. Roh, Ideal theory of subtraction algebras, Sci. Math. Jpn. 61(2005), no. 3, 459-464, :e-2004, 397-402
5 B. M. Schein, Difference Semigroups, Comm. in Algebra 20 (1992), 2153-2169   DOI   ScienceOn
6 Y. B. Jun and H. S. Kim, On ideals in subtraction algebras, Sci. Math. Jpn. 24 (2007), no. 1, 129-134, bf:e2006, 1081-1086
7 Y. B. Jun and M. Kondo, On transfer principle of fuzzy BCK/BCI-algerbas, Sci. Math. Jpn. 59 (2004), no. 1,35-40, :e9, 95-100