摘要
引入了布尔代数的(∈,∈∨q)-Fuzzy子代数、(∈,∈∨q)-Fuzzy理想和(∈,∈∨q)-Fuzzy商布尔代数的概念,给出了布尔代数的Fuzzy子集是(∈,∈∨q)-Fuzzy子代数((∈,∈∨q)-Fuzzy理想)的充要条件,讨论了布尔代数的(∈,∈∨q)-Fuzzy子代数((∈,∈∨q)-Fuzzy理想)在布尔代数同态下的像和逆像,并证明了当I是布尔代数R的(∈,∈∨q)-Fuzzy真理想时,R/I是布尔代数。
In this paper,the concept of（ ∈, ∈V q）-Fuzzy subalgebras and（ ∈, ∈ V q）- Fuzzy ideals of Boolean algebra and（∈, ∈ V q）-Fuzzy quotient Boolean algebra are introduced. A necessary and sufficient condition for a fuzzy set of Boolean algebra to be a （∈, ∈V q）-Fuzzy subalgebra（ideal）is stated,and images and inverse-images of（ ∈, ∈ V q）-Fuzzy subalgebra（ideal）of Boolean algebra under Boolean algebra homomorphism are studied,and R/I is Boolean algebra when I is（ ∈ , ∈ V q）-Fuzzy real ideals of Boolean algebra R are proved.
出处
《青岛科技大学学报（自然科学版）》
CAS
2006年第3期275-278,共4页
Journal of Qingdao University of Science and Technology:Natural Science Edition
