摘要
文中给出R-模糊布尔代数的定义,讨论了其与模糊布尔代数的关系,证明在一定的条件下,有限个R-模糊布尔代数的交(并)还是R-模糊布尔代数,R-模糊布尔代数的同态像(原像)仍是R-模糊布尔代数。
In this paper ,we introduce the definition of fuzzy Boolean algebra. Based on that, the differences and connection between R-fuzzy Boolean algebra and fuzzy Boolean algebra are discussed. Furhtermore, it is proved that the finite intersection （union） of R-fuzzy Boolean algebra is still R-fuzzy Boolean algebra , and the homomorphic image （preimage） of R-fuzzy Boolean algebra is still R-fuzzy Boolean algebra.
出处
《江南大学学报（自然科学版）》
CAS
2011年第6期741-744,共4页
Joural of Jiangnan University (Natural Science Edition)
关键词
布尔代数
模糊布尔代数
R-模糊布尔代数
蕴涵算子
Boolean algebra, fuzzy Boolean algebra, R-fuzzy Boolean algebra, implication operator
