Some characterizations on weighted $αβ$-statistical convergence of fuzzy functions of order $θ$

Based on the concept of new type of statistical convergence defined by Aktuglu, we have introduced the weighted $αβ$ - statistical convergence of order $θ$ in case of fuzzy functions and classified it into pointwise, uniform and equi-statistical convergence. We have checked some basic properties and then the convergence are investigated in terms of their $α$-cuts. The interrelation among them are also established. We have also proved that continuity, boundedness etc are preserved in the equi-statistical sense under some suitable conditions, but not in pointwise sense.

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