Browse > Article
http://dx.doi.org/10.14317/jami.2011.29.3_4.1049

FUZZY BE-ALGEBRAS  

Ahn, Sun-Shin (Department of Mathematics Education Dongguk University)
Kim, Young-Hee (Department of Mathematics Chungbuk National University)
So, Keum-Sook (Department of Mathematics Hallym University)
Publication Information
Journal of applied mathematics & informatics / v.29, no.3_4, 2011 , pp. 1049-1057 More about this Journal
Abstract
In this paper, we fuzzify the concept of BE-algebras, investigate some of their properties. We give a characterization of fuzzy BE-algebras, and discuss a characterization of fuzzy BE-algebras in terms of level subalgebras of fuzzy BE-algebras.
Keywords
(fuzzy) BE-algebra; level subalgebra; normal fuzzy BE-algebra;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 A.Walendziak, Some axiomatizations of B-algebras, Math. Slovaca 56(3) (2006), 301-306.
2 H. S. Kim, Y. H. Kim and J. Neggers, Coxeters and pre-Coxeter algebras in Smarandache setting, Honam Math. J. 26(4) (2004) 471-481.
3 Y. B. Jun, E. H. Roh and H. S. Kim, On BH-algebras, Sci. Math. Japon. 1(1998), 347-354.
4 J. Meng and Y. B. Jun, BCK-algebras, Kyung Moon Sa, Seoul (1994).
5 J. Neggers and H. S. Kim, On d-algebras, Math. Slovaca 49 (1999), 19-26.
6 J. Neggers and H. S. Kim, On B-algebras, Mate. Vesnik 54 (2002), 21-29.
7 J. Neggers and H. S. Kim, A fundamental theorem of B-homomorphism for B-algebras, Int. Math. J. 2 (2002), 215-219.
8 C. B. Kim and H. S. Kim, On BM-algebras, Sci. Math. Japo. 63(3) (2006), 421-427.
9 K. Iseki and S. Tanaka, An introduction to theory of BCK-algebras, Math. Japonica 23 (1978), 1-26.
10 K. Iseki, On BCI-algebras, Math. Seminar Notes 8 (1980), 125-130.
11 H. S. Kim and Y. H. Kim, On BE-algebras, Sci. Math. Japo. 66(2007), 113-116.
12 Q. P. Hu and X. Li, On proper BCH-algebras, Math. Japonica 30 (1985), 659-661.
13 S. S. Ahn and K. K. So, On ideals and upper sets in BE-algebras, Sci. Math. Japon. 68 (2008), 279-285.
14 S. S. Ahn and K. K. So, On generalized upper sets in BE-algebras, Bull. Korean Math. Soc. 46 (2009), 281-287.
15 Q. P. Hu and X. Li, On BCH-algebras, Math. Seminar Notes 11 (1983), 313-320.