The term innovation which is about the novelty on products, processes, services, technologies, on strategies or organizational structures is important for companies to stay in the competition and run their businesses well to gain both financial and organizational achievements. By the changing and globalizing world, innovation may require some interaction and cooperation which is called open innovation. In this research, five factors including brainstorming, feedback, benchmarking, open-minded mentality and relationship with supply chain elements triggering open innovation are investigated and ranked by one of the multi-criteria decision making models called ELECTRE III according to two criteria of inbound and outbound innovations.