Grey relation degree approach to fuzzy multiple attribute decision-making for structural scheme design

In structural scheme design, the attribute information of structural schemes is usually incomplete, or unascertain. So a mathematical model of fuzzy multiple attribute decision-making for structural form selection is built up, and then, a method of determining the fuzzy satisfaction degree matrix of the attributes of structural forms is put forward to effectively process the fuzzy information. To get over the shortcomings of determining the optimal preferred scheme directly through Euclid distance, a fuzzy multiple attribute decision-making method based on grey relation degree is proposed. The decision making process of selecting the optimal structural scheme is demonstrated by taking large-span spatial structures as a practical example. The results show that the method proposed can effectively solve the problem of the choice of the optimal structural scheme in the uncertain environment.