PDF全文下载：2011020211
刘娟, 孙绍权
（青岛科技大学 数理学院,山东 青岛 266061）
摘要: 引入了BCI-代数的广义fuzzy子代数、广义fuzzy理想和广义fuzzy闭理想的概念; 讨论了BCI-代数的广义fuzzy子代数和广义fuzzy理想（闭理想）之间的关系; 给出了BCI-代数的fuzzy子集是广义fuzzy理想（闭理想）的充要条件; 证明了BCI-代数的2个广义fuzzy理想的交和直积是广义fuzzy理想。
关键词: BCI-代数； 广义fuzzy子代数； 广义fuzzy理想； 广义fuzzy闭理想
中图分类号: O 153 文献标志码： A
Generalized Fuzzy Ideals of BCI-algebra
LIU Juan, SUN Shao-quan
(College of Mathtematics and Physics,Qingdao University of Science and Technology,Qingdao 266061,China)
Abstract: The concepts of generalized fuzzy subalgebra、 generalized fuzzy ideal and generalized fuzzy closed ideal on BCI-algebra are introduced; the relation between generalized fuzzy subalgebra on BCI-algebra and generalized fuzzy(closed) ideal on BCI-algebra is discussed; the necessary and sufficient condition about that fuzzy subset on BCI-algebra is generalized fuzzy(closed) ideal on it is given; the intersection and direct product of generalized fuzzy ideals on BCI-algebra is still a generalized fuzzy ideal of it is proved.
Key words: BCI-algebra; generalized fuzzy subalgebra; generalized fuzzy ideal; generalized fuzzy closed ideal
收稿日期:2010-05-05
作者简介: 刘娟（1982—）,女，硕士研究生.
