Summability methods for sequences and integrals on Fuzzy number space

This thesis consists of four chapters. In first chapter, the concepts of summability method and fuzzy set are introduced. Also, the purpose and significance of thesis are asserted. In second chapter, basic definitions and theorems used in thesis are given. In third chapter, Abel summability of sequences of fuzzy numbers is defined and Tauberian results for Abel summability method are given. Also, logarithmic summability of sequences of fuzzy numbers is defined and Landau one-sided, slowly decreasing type Tauberian conditions are given. In fourth chapter, Cesàro summability method and logarithmic summability method for integrals of fuzzy-number-valued functions are introduced. Also, Landau one-sided and slowly decreasing type Tauberian conditions for these summability methods are obtained. Original parts of this thesis are third and fourth chapters.