On approximation of certain fuzzy linear operators

The present work introduces a new positive fuzzy linear operator by means of fractional Kantorovich-rational operator of Riemann Liouville type. Further, investigations related to fuzzy Korovkin theorem, fuzzy Voronovskaya, and Grüss Voronovskaya theorem have been carried out via deferred A-statistical convergence of order γ. Results including A-deferred statistical fuzzy rates of convergence have also been established using the modulus of smoothness of higher order, Peetre’s K-functional, Lipschitz maximal functions etc.