Some convergence types defined in intuitionistic fuzzy normed spaces

This thesis which is entitled "Some convergence types defined in intuitionistic fuzzy normed spaces"consists of five sections. In the first section, a short abstract is given about some convergence types defined in normed linear spaces. In the second section, some basic definitions and theorems which will be used in the later sections are given. In the third section, firstly, definitions of (N, p)- summmability and weighted statistical convergence in intuitionistic fuzzy normed linear spaces are given and some relations between these concepts are investigated. After, concepts of (Nl , p)- summmability and generalized weighted statistical convergence in intuitionistic fuzzy normed linear spaces are introduced and some theorems related to these concepts are proved. Lastly, the concepts of ( N, p r ,q)- summmability and weighted lacunary statistical convergence in intuitionistic fuzzy normed linear spaces are introduced and some properties of these concepts are investigated. In the fourth sect on, by combining the concepts of difference sequence and lacunary statistical convergence, defnitions of lacunary D- statistical convergence sequence and lacunary D- statistical Cauchy sequence are given in intuitionistic fuzzy n- normed linear spaces and some theorems related to these concepts are given. In the last section, some general conclusions and some investigation problems were given.