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BCI-代数的广义Fuzzy理想

作者:时间:2014-11-21点击数:

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.

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