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
From page
119
To page
130
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
Record number
2549765
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