灰色评价指标的一种曲率可调非线性标准化转换方法  

Nonlinear Standardized Transformation Method with Changeable Curvature for the Grey Performance Evaluation Indexes

作　　者：刘东波[1] 陈玉娟[1] 黄道[2] 茅红伟[1] 

机构地区：[1]上海师范大学信息与机电工程学院,上海201418 [2]华东理工大学自动化研究所,上海200237

出　　处：《华东理工大学学报（自然科学版）》2009年第2期275-282,共8页Journal of East China University of Science and Technology

基　　金：上海师范大学重点学科建设项目资助(DZL710);上海师范大学理工科科研项目资助(SK200741,SK200864,PL719)

摘　　要：针对绩效评价体系中评价指标属性值为灰数的情形,分别为成本型、效益型、适中型评价指标设计了曲率可调非线性标准化转换方法,把灰色评价指标的属性值转换到[0,1]的标准化区间,不同量纲和不同范围的灰色评价指标可以在转换后的标准化区间内相互比较。设计的上凸型和下凹型转换曲线分别表达了对评价指标的严格和宽松的评价要求。给出了曲率调整系数α的选择原则,通过调整α,可以非线性地改变成本型、效益型、适中型评价指标随目标函数的变化趋势。以某电子公司绩效评价指标为例说明了灰色评价指标的非线性标准化转换方法。Aiming the case that the value of performance evaluation indexes may be grey data, this paper designs nonlinear standardized transformation methods for the grey evaluation indexes of benefit type, cost type and suitable type, respectively. By transforming the grey evaluation indexes＇ value into the standardized scope between 0 and 1, the grey evaluation indexes with different types and different scopes can be compared with each other. The designed concave-type （convex-type） transformation method attains the strict （loose） evaluation requirements for the performance evaluation indexes. The selection principles of the curvature coefficient a are given. The updating of the parameter a can nonlinearly alter the changing trend with the objective function for evaluation indexes of different types, e. g. , cost-type, benefit-type and suitable-type. A numerical example is given to illustrate the proposed method.

关 键 词：绩效评价 灰数 不确定性 非线性标准化转换 供应链管理 

分 类 号：N941.5[自然科学总论—系统科学] N945.16