针对组合评价方法的特殊性以及评价数据为二维且分布不均的情况,提出了一种专门用于解决组合评价问题的信息集结方法,即组合(CW)算子。定义了组合算术平均(CWA)算子和组合几何平均(CWGA)算子这两种新的组合算子并研究了其性质,同时给出了一种二维组合评价数据的分组方法;提出了同质性特征量和异质性特征量的概念,并定义了同质性影响系数和异质性影响系数;并据此给出了单一评价方法重要性加权向量以及评价方法组组合加权向量的确定方法。相比传统的信息集结算子,Cw算子能充分考虑组合评价方法的同质性与异质性,更具有针对性。最后,通过一个具体的算例说明了该组合算子在组合评价中的应用过程并验证了其有效性。
For the specificity of the combined evaluation method and the two-dimensional and not-evenly distributed assessment data, we propose a new combined weighted operator, i. e. , CW operator. We define two new aggregation operators and analyze their relevant properties, combined weighted arithmetic averaging operator (CWA) and combined weighted geometric averaging operator (CWGA). We also present the method of grouping the two-dimensional assessment data. Then, we introduce the characteristic values of homogeneity and heterogeneity and influence coefficients of homogeneity and heterogeneity, and use them to determine the importance weight of single evaluation method and the combination weight of every group. Compared with the traditional information aggregation operator, CW operator is more targeted as it considers the homogeneity and heterogeneity of combined valuation method. An exact example is given to illustrate the application of the new CW operator and to verify its validity.