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In this paper, we introduce the concepts of statistically convergent sequences of order β and statistically Cauchy sequences of order β in fuzzy normed spaces. Furthermore, we give the relations between statistically convergent sequences of order β and statistically Cauchy sequences of order β. [ABSTRACT FROM AUTHOR]

The main purpose of this paper is to introduce and examine the concepts of deferred statistical convergence of order β and strong r-deferred Cesáro summability of order β for sequences of fuzzy numbers and give some relations between deferred statistical convergence sequences of order β and strongly r-deferred Cesáro summable sequences of order β, where β ∈ (0, 1] and p ∈ ℝ +. Mathematics Subject Classification: 40A05, 40C05, 46A45, 03E72. [ABSTRACT FROM AUTHOR]

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]