摘要
引入了布尔代数的直觉模糊子代数、直觉模糊理想和直觉模糊商布尔代数的概念,给出了布尔代数的直觉模糊子集是直觉模糊子代数(直觉模糊理想)的充要条件,讨论了布尔代数的直觉模糊子代数(直觉模糊理想)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的直觉模糊真理想时,R/I是布尔代数。
In this paper, the concept of intuitionistic fuzzy subalgebras,intuitionistic fuzzy ideals of Boolean algebra and intuitionistic fuzzy quotient Boolean algebra are introduced. A necessary and sufficient condition for a intuitionistic fuzzy set of Boolean algebra to be a intuitionistic fuzzy subalgebra（ideal） is stated. Images and inverse-images of intuitionistic fuzzy subalgebra（ideal） of Boolean algebra under Boolean algebra homomor-phism are studied. Which R/ I is Boolean algebra as I is intuitionistic fuzzy real ide als of Boolean algebra R are proved.
出处
《青岛科技大学学报（自然科学版）》
CAS
2008年第1期80-83,共4页
Journal of Qingdao University of Science and Technology:Natural Science Edition
关键词
布尔代数
直觉模糊子代数
直觉模糊理想
直觉模糊商布尔代数
Boolean algebra
intuitionistic fuzzy subalgebra
intuitionistic fuzzy ideal
intuitionistic fuzzy quotient Boolean algebra
