Mechanism scheme design based on multi-attribute gray interval relevant optimized decision-making model

Due to the incomplete and the uncertain interval attribute information in the procedure of the complex mechanism scheme design, a computing method for the multi-attribute decision making of grey interval number is proposed. The proposed model for the multi-attribute decision making of grey interval number is developed based on the grey system theory. By adopting the norm of the grey interval number vector, the multiple-attribute decision making matrix of the grey interval numbers is standardized, and the dummy ideal grey interval scheme and the negative ideal grey interval scheme with integrated attribute information are proposed. Based on the optimal membership degree of design schemes, the optimum design scheme is achieved in the whole system. Finally, an example of large-scale hydraulic turbine scheme design is provided to validate and prove its effectiveness and feasibility.