This paper is devoted to studying weighted A-statistical convergence and statistical weighted A-summability of fuzzy sequences and their representations of sequences of λ-levels, which are intervals. We obtain necessary and sufficient conditions for the matrix A to be weighted fuzzy regular and derive some inclusion relations concerning these newly proposed methods. Furthermore we prove a fuzzy Korovkin type approximation theorem using statistically weighted A-summability and estimate the rates of weighted A-statistical convergence by means of the fuzzy modulus of continuity. Finally, based on a fuzzy analogue of Meyer-König and Zeller operators, we present an illustrative example to show that our proposed methods are stronger than the existing literature related to fuzzy Korovkin type approximation theorem.
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