The process of generating innovative solutions mostly rely on skilled experts which are usually unavailable and with uncertainty. Computer science and information technology is changing the innovation environment and accumulating big data from which a lot of knowledge is discovered. However, it is a rather nebulous area and still remains several challenge problems to integrate multi-information and lots of rough knowledge effectively to support the process of innovation. Based on the new cross discipline Extenics, we present a collaborative innovation model in the context of big data. The model transforms collected data into a knowledge base in a uniform basic-element format, and then we explore the innovation paths and its solutions by a formularized model based on Extenics. Finally we score and select all possible solutions by 2D dependent function. The model can collaborate different departments to put forward the innovation solutions with support of big data. The model is proved useful by a practical innovation case in management.