On deferred statistical convergence of order β of sequences of fuzzy numbers

This study consists of the five chapters which has been titled as "On Deferred Statistical Convergence of Order β of Sequences of Fuzzy Numbers". We give some informations about the historical development of statistical convergence in the chapter 2 and give some informations about the historical development of fuzzy numbers in the chapter 3. In the chapter 4, we give the concepts of deferred statistical convergence and strong deferred r-Cesàro summability for sequences of real numbers. In the fifth chapter which is original, we introduce the concepts of deferred statistical convergence of order β and strong deferred r-Cesàro summability of order β for sequences of fuzzy numbers and give some relations between deferred statistical convergence sequences of order β and strong deferred r-Cesàro summable sequences of order β for β∈(0,1].