  The purpose of this work is to examine the structure of optimal dual fusion
frames and get more exibility in the use of dual fusion frames for erasures of
subspaces. We deal with optimal dual fusion frames with respect to different
definitions of duality and compare the advantages of these approaches. In
addition, we introduce a new concept so called partial optimal dual which
involves less time and computation for detecting optimal dual for erasures in
known locations. Then we study the relationship between local and global
optimal duals by partial optimal duals which leads to some applicable results.
In the sense that, we obtain an overcomplete frame and a family of associated
optimal duals by a given Riesz fusion basis. We present some examples to
exhibit the effect of error rate when dual fusion frames are applied in
reconstruction.
