Volume 32 • Number 2 • 2009   • Generalized Fuzzy Ideals of BCI-Algebras Jianming Zhan and Young Bae Jun Abstract. The notions of -fuzzy BCI-positive implicative (resp., BCI-implicative, BCI-commutative) ideals in BCI-algebras are introduced, and related properties are investigated. Some characterization theorems of these generalized fuzzy ideals are derived. The relationship among these generalized fuzzy ideals of BCI-algebras is considered. We also consider the concept of implication-based fuzzy implicative ideals in BCI-algebras. In particular, we discuss the implication operators in Lukasiewicz system of continuous-valued logic. 2000 Mathematics Subject Classification: 06F35, 03G10, 03B52. Full text: PDF