三角代数的模糊滤子  

Fuzzy filters of triangle algebras

作　　者：罗敏霞[1] 潘琼[1] 

机构地区：[1]中国计量学院数学与信息科学系,浙江杭州310018

出　　处：《中国计量学院学报》2015年第4期486-489,共4页Journal of China Jiliang University

基　　金：国家自然科学基金资助项目(No.61273018)

摘　　要：引入三角代数和三角代数中滤子的概念,研究三角代数中滤子的性质.给出了三角代数中模糊滤子的概念,进一步给出三角代数模糊滤子的等价刻画;研究了三角代数中滤子与模糊滤子之间的关系,并证明由滤子可以诱导出模糊滤子,反之,由模糊滤子也可以诱导出滤子.The notion of triangle algebras and triangle algebra filters were introduced. The properties of triangle algebra filters were investigated. The concept of fuzzy filters and the equivalent characteristics of fuzzy filters were given. The relationship between fuzzy filters and triangle algebra filters were studied. It is proved that a fuzzy filter can induce a filter, and vice-versa.

关 键 词：三角代数 区间值剩余格 滤子 模糊滤子 

分 类 号：O14[理学—数学] TP18[理学—基础数学]