ANP内部独立循环系统超矩阵构造的改进方法

A Modified Approach to Construct the Supermatrix of ANP for the Circular System with Inner Independence

在网络分析(ANP)中,如何科学合理地构造出被评价问题的超矩阵是一个非常重要的技术关键.针对内部独立循环型系统(CSII)问题,ANP在超矩阵的一个重要子矩阵即方案对目标的影响矩阵(IMAG)构造时采用了和其它子矩阵完全相同的构造方式,即点估计方式.这种构造方式并没有合理反映IMAG构造的整体论思想,实质即整体性逻辑判断的高度不确定性特征.为克服上述缺陷,建议专家采用区间估计而非点估计的方式来反映其相对偏好的判断.为了使这种理论观点能够在实际评价中得以实施,通过建立数据包络分析模型,提出了一种CSII型系统超矩阵的改进构造方法.具体例子应用结果表明,该方法是科学可靠的,对内部独立循环系统的排序问题有着很强的实际应用可操作性.

In analytic network process（ANP）, how to construct reasonably the supermatrix of evaluated problem is a vital technical core. For the evaluation problem of circular system with inner independence （CSII）, an important submatrix of the supermatrix, i.e., the influence matrix of alternatives to goals （IMAG） ,is constructed in ANP by the same way as the other submatrices, that is, by way of point estimates. This constructing pattern does not reasonably reflect the characteristic of high imprecision existing in holistic logic judgments, required in the IMAG constructing by the nolism thought. To overcome the above drawback, this paper suggests that experts should adopt interval estimates to reflect their relative preferences, instead of adopting point estimates. With the above suggestion concerneol, a modified approach to construct the supermatrix based on the methodology of data envelopment analysis is presented. Applied to a specific example, the modified approach is validated to be scientific and reasonable and can be well annlied to real world ranking vroblems of CSII.