新定义的Fuzzifying半邻域系及其应用  

New Semi-Open Sets in Fuzzifying Spaces

作　　者：左玥[1] 方进明[1] 

机构地区：[1]中国海洋大学数学系,山东青岛266071

出　　处：《中国海洋大学学报（自然科学版）》2005年第3期432-434,共3页Periodical of Ocean University of China

基　　金：山东省自然科学基金项目 (Q99A0 2 )资助

摘　　要：本文用新的方法引入fuzzifying半开集的概念;利用此半开集概念确定fuzzifying半邻域系。最后作为应用定义了映射的fuzzifying半连续性并给出若干刻画条件。In this paper, a new method is presented to introduce the conception of fuzzifying semi-open sets and we define the concepts of the fuzzifying semi-neighborhood system based on it. Finally, the fuzzifying semi-continuous degree of a mapping between two fuzzifying topological spaces is discussed as an application.

关 键 词：FUZZIFYING拓扑 半开集 半邻域系 半连续性 

分 类 号：O189.13[理学—数学]