Lacunary statistical boundedness of sequences of sets

In seven parts part of the study consisting of six sections, a brief history of the concept of convergence and statistical convergence was given. In addition, in the second part, some basic concepts needed for a more understandable study were given. In the third part, the Kuratowski, Wijsman and Hausdorff statistical convergence definitions of set sequences were given. In the fourth part, the Kuratowski Cesaro summability, Wijsman Cesaro summability and Wijsman strong Cesaro summability definitions of set sequences and the relationship between set sequences were mentioned. In the fifth chapter, the concept of ψ-lacunary statistical convergence of sequences of sets of order μ was given. The sixth chapter is the original part of the study, in which the concept of lacunary statistical boundedness of set sequences is defined, some of its properties are examined, and the relationship between it and the concept of lacunary statistical convergence is given. The seventh chapter, which is the last chapter, includes the results of the thesis study.