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In the present paper, we introduce the concept of lacunary statistical boundedness of order β for sequences of fuzzy numbers and give some relations between lacunary statistical boundedness of order β and statistical boundedness. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new type of almost statistical convergence of generalized difference sequences of fuzzy numbers involving lacunary sequences. We give the relations between the lacunary strongly almost Cesàro type convergence and lacunary almost statistical convergence. Furthermore, we study some of their properties like completeness, solidity, symmetricity etc. We also give some inclusion relations related to these classes. [ABSTRACT FROM AUTHOR]