灰色关联决策方法研究

以灰色决策分析理论为基础,探讨了经典灰色关联决策方法的优势和不足。提出了基于理想方案的最大关联度方法、基于临界方案的最小关联度方法,以及同时考虑理想方案和临界方案的综合关联度方法及其相关概念。建立了灰色区间关联系数公式和灰色区间相对关联系数公式。运用分析技巧,构建了上述3种关联度决策算法。指出了灰色区间关联系数公式和最大关联度方法分别是经典灰色关联系数公式和灰色关联决策方法的推广,而最小关联度方法和综合关联度方法是经典灰色关联决策方法的拓展。文中实例说明了所提出的灰色关联决策方法的合理性及其算法的有效性。

Study on the Method for Grey Incidence Decision-Making

This paper discusses the advantage and disadvantage of classical grey incidence decision-making.Firstly,it introduces a method based on ideal project for maximum grey incidence degree;a method based on critical project for minimum grey incidence degree,and integrated incidence degree method together with some relational concepts based on both ideal and critical projects,which consists of incidence degree coefficient formula and relative incidence degree coefficient formula for interval grey numbers.Secondly,three types of incidence degree decision-making arithmetic mentioned above are put forward.Then,it points out that incidence degree coefficient formula for interval grey number and maximum incidence degree method are generalizations of classic incidence degree coefficient formula and grey incidence decision-making,respectively,while methods for minimum grey incidence degree and integrated incidence degree are generalizations of method for grey incidence decision-making.Finally,an example shows the rationality of grey incidence decision-making and the validity of the arithmetic mentioned above.