关键词: 水轮机, 方案优选, 灰色模糊关系, 优属度, 决策模型, 多属性决策

Abstract: Due to the incomplete and the uncertain interval attribute information in the process of large-scale hydraulic turbine scheme design, the decision-making problem for the complex product scheme design was studied. Methods for the multi-attribute decision-making of interval number based on the grey system theory and fuzzy theory were analyzed, the optimal membership degree of each decision-making method was given. Based on the optimal membership degree of design schemes, the multi-attribute grey fuzzy optimized decision-making model was constructed which fully considered grey information and fuzzy information in decision-making process. By comparing the similarity between design scheme and its interval schemes, including the positive ideal interval scheme and the negative ideal interval scheme, the optimum design scheme was achieved for the entire system with integrated grey and fuzzy information. Finally, an example of large-scale hydraulic turbine scheme design was provided to validate its effectiveness and feasibility.

Key words: hydraulic turbine, scheme optimization, grey fuzzy relation, optimal membership degree, decision-making model, multi-attribute decision-making