Title of article :
Generalized Fuzzy Ideals of BCI-Algebras
Author/Authors :
Zhan, Jianming Hubei Institute for Nationalities - Department of Mathematics, China , Jun, Young Bae Gyeongsang National University - Research Institute of Natural Science (RINS) - Department of Mathematics Education, Korea
Abstract :
The notions of (∈, ∈ ∨ q)-fuzzy BCI-positive implicative (resp., BCIimplicative, 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.
Keywords :
(∈ , ∈ ∨ q) , fuzzy BCI , positive implicative ideal , (∈ , ∈ ∨ q) , fuzzy BCI , implicative ideal , (∈ , ∈ ∨ q) , fuzzy BCI , commutative ideal , fuzzy logic , implication operator.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
