Abstract: | This paper is a survey of the results in L-fuzzy topological groups,in which we have collected the main up-to-date results of L-fuzzy topological groups. In this paper we simply introduced dehinition of L-fuzzy topological groups, characterisations of L-fuzzy topological groups by R-neighborhood bases of a L-fuzzy point, connectedness,sepera-tion and compactness of L-fuzzy topological groups etc. |