Statistical Weighted Mean Summability of Double Sequences of Fuzzy Numbers

Abstract

In this paper, we present statistical weighted mean ( briefly, $(\overline{N},p,q,1,1)$) summability method for double sequences of fuzzy numbers and give necessary and sufficient Tauberian conditions under which statistical convergence of a double sequence of fuzzy numbers follows from its statistical $(\overline{N},p,q,1,1)$ summability.
Furthermore we apply our new method of summability to prove a fuzzy Korovkin type approximation theorem for a double sequence of fuzzy positive linear operators.