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Based on the concept of new type of statistical convergence defined byAktuglu, we have introduced the weighted $\alpha\beta$ - statisticalconvergence of order $\theta$ in case of fuzzy functions and classified it intopointwise, uniform and equi-statistical convergence. We have checked some basicproperties and then the convergence are investigated in terms of their$\alpha$-cuts. The interrelation among them are also established. We have alsoproved that continuity, boundedness etc are preserved in the equi-statisticalsense under some suitable conditions, but not in pointwise sense.

Some characterizations on weighted $\alpha\beta$-statistical convergence of fuzzy functions of order $\theta$