F-statistical convergence of order β of sequences of fuzzy numbers

This study consists of the five main chapters. In the chapter 1 and 2, we give some informations about the historical development of statistical convergence and fuzzy numbers, and some fundamental definitions and theorems which are necessary in this study, respectively. In the third 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 fourth chapter which is original, we introduce the notions f-statistical convergence of order β and strong 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 fifth and last chapter, we give the results obtained from the thesis.