【作者】 周玲； 罗党；

【Author】 Zhou ling, luo dang (Department of Mathematics North China Institute of Water Conservancy and Hydroelectric Power, ZhengZhou 450011,China)

【机构】 华北水利水电学院；

【摘要】 针对属性权重完全未知,属性值为实数的多属性决策问题,运用灰色系统理论的思想和方法, 借助分析技巧,构建了在同一属性下任一方案与其他所有方案的灰色关联系数公式,然后由灰色关联系数的性质,建立了离差最大化的优化模型,获取属性的权重。从而得到各方案的综合属性值,并以此对方案进行排序。通过实例说明该方法的可行性和有效性。更多还原

【Abstract】 Based on grey system theory, the multi-attribute decision making problem is discussed, in which the attribute values are real numbers and the attribute weight unknown. Firstly, formulates the grey incidence coefficient of each alternative and other alternative, then establishing an optimal model of deviation maximization, The weights of attribute are attained. Thus the complex attribute value of each alternative is obtained, by these values, the prioritizing for alternatives is made. Finally, a practical example is given to show the feasibility and availability of the developed model and method.更多还原