基于相对核和精确度的灰数排序方法

The ranking method of grey numbers based on relative kernel and degree of accuracy

研究区间灰数的排序方法,分析已有排序方法的特点和优劣.为了更好地切合实际问题,考虑到灰数的取值论域,基于信息保留原则建立了普通区间灰数到标准灰数的投影法则;依据投影得到的标准灰数提出了相对核和精确度的概念,在此基础上给出了灰数的排序方法,克服了已有排序方法的不足,且使相同灰数的排序区分度在不同的应用背景下有不同的体现,有助于决策者进行分析.最后,通过算例验证了所提出方法的可行性和优越性.

The ranking method of interval grey numbers is researched. Firstly, the merits and demerits of the existing methods are analyzed. Then, in order to suit the actual application, based on grey numbers＇ universe of discourse and the principle of information persisting, the projection rule from ordinary interval grey numbers to standard grey numbers in universe of discourse [0,1 ] is designed. Moreover, the concepts of relative kernel and degree of accuracy are proposed aiming at the standard grey number. Based on these concepts, the ranking method of grey numbers is presented, which overcomes the shortages of existing ones. The discriminations among the same grey numbers in different application background are different, which are conductive to analyze for decision makers. Finally, examples show the feasibility and superiority of the proposed method.