基于连续值逻辑［0，1］上的拓扑群

Topological Groups Based on Continuous Valued Logic[0,1]

本文引入了基于连续值逻辑［０，１］上的拓扑群（简称不分明化拓扑群）的概念，并且讨论了此类拓扑群的单位邻域系、子群、商群和同态等结构和性质。

Abstract In this paper,we introduce the concept of topological groups based on continuous valued logic[0,l],and discuss the structures and the properties of the unit neighborhood system,subgroups,quotient groups and homomorphism.