EQ-代数中的两类L-模糊前滤子及其性质  

Two Types of L-fuzzy Prefilters and the Properties in EQ-algebra

作　　者：刘梦柯 左卫兵 LIU Meng-ke;ZUO Wei-bing(College of Mathematics and Statistics,North China University of Water Resourcesand Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450046

出　　处：《兰州文理学院学报（自然科学版）》2021年第5期12-17,共6页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：基于EQ-代数中的L-模糊滤子的概念,在EQ-代数中引入L-模糊正蕴涵前滤子以及L-模糊蕴涵前滤子的概念,得到了L-模糊正蕴涵前滤子以及L-模糊蕴涵前滤子的等价刻画,并讨论了二者之间的关系,丰富了EQ-代数上的L-模糊滤子理论.Based on the concept of L-fuzzy filters in EQ-algebras,the concepts of L-fuzzy positive implication prefilters and L-fuzzy implication prefilters were introduced in EQ-algebras.The equivalent characterizations of L-fuzzy positive implication prefilters and L-fuzzy implication prefilters were obtained,and the relationship between them was discussed,which enriched the theory of L-fuzzy filters in EQ-algebras.

关 键 词：EQ-代数 L-模糊前滤子 L-模糊正蕴涵前滤子 L-模糊蕴涵前滤子 

分 类 号：O159[理学—数学]