诱导内部算子与闭包算子  

Induced interior operater and closure operater

作　　者：刘智斌[1,2] 胡茂林 

机构地区：[1]吕梁高等专科学校数学系 [2]固原师范专科学校数学系

出　　处：《陕西师范大学学报（自然科学版）》1998年第S1期15-17,共3页Journal of Shaanxi Normal University：Natural Science Edition

摘　　要：借助Ｌ－Ｆｕｚｚｙ集的分解定理，给出了从分明拓扑空间（Ｘ，Ｔ）上的内部算子与闭包算子出发到ＬＸ上的算子的诱导公式，证明了这样诱导的算子是ＬＸ上的内部算子与闭包算子．Based on L fuzzy set′s decomposition theorem,the paper presents two induced formulas,the interior operator and the closure operator on ( X ,T) to the operator on L X ,and it is proved that the induced operator is a interior operator and a closure operator on L X .

关 键 词：内部算子 闭包算子 LF集 

分 类 号：O177[理学—数学]