Generalized difference interval matrix and some interval matrix calculations

This thesis consist of four parts. In the first part, explanations about why it needs interval numbers and how it is heard with the emergence are given. In the second part, the basic definitions and theorems that we need in our study and thesis about interval numbers are given. In addition, ser theory in the classical sense and arithmetic of interval numbers are explained. Also in this section; It is given how interval matrix operations can be done using interval numbers. Adaptations for finding the cofactor of an interval matrix, calculating the transpose of an interval matrix, finding its additive matrix and calculating the inverse of an interval matrix are included. In addition, the adaptation of the inverse operation of 2×2 type matrices to interval matrices is given. In the third group, generalized difference interval matrix studies are given. Generalized difference interval matrices and some sequence spaces of generalized difference interval matrices are defined. Moreover, the definition of the infinite dimensional generalized difference interval matrix has been made. In addition, an isomorphism is built on generalized difference interval sequence spaces. Finally, in the fourth grade, results and recommendations are given.