Generalized statistical convergence defined by a modulus function

This study consists of the four main chapters. In the first chapter, we give some informations about the historical development of statistical convergence and fuzzy numbers. In the second chapter, we give the concepts of fuzzy set, fuzzy number and sequence of fuzzy numbers and mention convergence, boundedness, statistical convergence and strongly p-Cesàro summability of the sequences of fuzzy numbers. In the third chapter which is original, we introduce the notions (Δ^{m},f)-statistical convergence of order β and strong (Δ^{m},f)-Cesàro summability of order β for β∈(0,1] with respect to an unbounded modulus function f for sequences of fuzzy numbers and examine some inclusion theorems. In the fourth and last chapter, we give the results obtained from the thesis.