The basic concepts of the theory of intuitionistic fuzzy topological spaces have been defined by D. Çoker and co-workers. In this paper, we define new notions of Hausdorffness in the intuitionistic fuzzy sense, and obtain some new properties, in particular on convergence.

In this paper we introduce and study the concepts of $error$-closed set and $error$-limit ($error$-cluster) points of $L$-nets and $L$-ideals using the notion of almost $N$-compact remoted neighbourhoods in $L$-topological spaces. Then we introduce and study the concept of $error$-continuous mappings. Several characterizations based on $error$-closed sets and the $error$-convergence theory of $L$-nets and $L$-ideals are presented for $error$-continuous mappings.