Some characterizations on weighted -statistical convergence of fuzzy functions of order

Based on the concept of new type of statistical convergence defined by Aktuglu (J Comput Appl Math 259:174-181, 2014), we have introduced the weighted -statistical convergence of order 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 -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.