On the cesàro convergence and cesàro core of sequences of fuzzy numbers

This thesis consists of five chapters. The first chapter which is the introduction of the thesis is devoted to the studies related to the topic.In the second chapter the basic definitions,concepts and theorems which will be useful in the next chapters have been given.In the third chapter which is the first of the original chapters, the definitions of the Cesàro and $\lambda$-convergenceof a sequence of fuzzy numbers have been given. Also; the Tauberianconditions for the Cesàro convergence have been determined andthe relation between the Cesàro and $\lambda$-convergence hasbeen investigated.In the fourth chapter after the determination of the Tauberianconditions for statistical convergence, the statistical Cesàroconvergence of a sequence of fuzzy numbers has been defined andalso the Tauberian conditions for this new concept have been proved.In the fifth chapter which is the final chapter of the thesis, the Cesàro core of asequence of fuzzy numbers has been defined and the relation beetween the Cesàro coreand the core has been investigated. Also; the conditions for a matrix to carry the Cesàro core of thetransformed sequence into the ordinary core of sequence have been determined.