LF内部空间的层次伪开集与伪连续序同态  

Stratification Pseudo-open Sets and Pseudo-continuous Order-homomorphisms in L-fuzzy Interior Spaces

作　　者：周相泉[1] 赵美香[2] 孟广武[3] 

机构地区：[1]聊城大学学报编辑部,聊城市252059 [2]临沂师范学院数学系,临沂市276005 [3]聊城大学数学科学学院,山东省聊城市252059

出　　处：《曲阜师范大学学报（自然科学版）》2005年第3期23-26,共4页Journal of Qufu Normal University(Natural Science)

基　　金：山东省自然科学基金资助项目(Y2000A05).

摘　　要：在LF_内部空间中,针对模糊格的每个素元r,引入了Ir_伪开集的概念,并讨论了这种层次伪开集与层次伪闭集的关系.定义了伪连续序同态,并利用层次伪开集与层次伪闭集给出了它的基本特征.In L-fuzzy interior spaces, for every prime element r of a fuzzy lattice L, the notion of Ir-pseudo-open set is introduced. The relation between the stratification pseudo-open sets and stratification pseudo-closed sets is discussed. The conception of pseudo-continuous order-homomorphism is defined, and its basic characterizations are given by stratification pseudo-open sets and stratification pseudo-closed sets.

关 键 词：模糊拓扑学 LF-内部空间 Ir-伪开集 伪连续序同态 

分 类 号：O159[理学—数学]