Nets and filters in intuitionistic fuzzy topological spaces.

Abstract

The basic concept of intuitionistic fuzzy point has been defined by C¸ oker and Demirci. Also, C¸ oker constructed the fundamental theory on intuitionistic fuzzy topological spaces. In this paper, we define the notions of net and filter in the intuitionistic fuzzy sense, and obtain some results on convergence, in particular we establish the correspondence between net convergence and filter convergence in the intuitionistic fuzzy sense.