  A new notion in frame theory has been introduced recently that called woven
frames. %From the perspective of others, Woven and weaving frames are powerful
tools for pre-processing signals and distributed data processing. The purpose
of introducing fusion frame or frame of subspace is to first construct local
components and then build a global frame from these. This type of frame behaves
as a generalization of frames. Motivating by the concepts of fusion and weaving
frames, we investigate the notion woven-weaving fusion frames and present some
of their features. Also, we study some effects of perturbations on woven frames
and introduce Riesz decomposition of wovens and then we examine some of
behaviors of this type of decomposition.
