$\Delta^{f}-$lacunary statistical boundedness of order $\beta$ for sequences of fuzzy numbers

Abstract

In the present paper, we introduce the concept of $\Delta^{f}-$lacunary statistical boundedness of order $\beta$\ with respect to a modulus function $f$ for sequences of fuzzy numbers and give some relations between $\Delta^{f}-$lacunary statistical boundedness of order $\beta$\ and $\Delta^{f}-$statistical boundedness with respect to a modulus function $f$ with the help of many examples and figures. Furthermore, we study some properties like solidity, symmetricity, etc.