On $\alpha\beta$-Statistical Convergence for Sequences of Fuzzy Mappings and Korovkin Type Approximation Theorem

Abstract

Upon prior investigation on statistical convergence of fuzzy sequences, we study the notion of pointwise $\alpha\beta$-statistical convergence of fuzzy mappings of order $\gamma$. Also, we establish the concept of strongly
$\alpha\beta$-summable sequences of fuzzy mappings and investigate some inclusion relations. Further, we get an analogue a Korovkin-type approximation theorem for fuzzy positive linear operators with respect to $\alpha\beta$-statistical convergence. Furthermore, we apply the fuzzy Bernstein operator to construct an example in support of our result.