农业标准化中分层指标体系的结构表示与化简方法

Methods on Structural Representation and Simplification of Hierarchical Index System in Agricultural Standardization

根据农业标准化的需要,本研究建立了一种分层指标体系的结构表示和化简方法。在该方法中,分层指标体系的结构由拓扑矩阵和权重矩阵表示。通过化简,将分层指标体系转为单层指标体系,并得到各底层指标的综合权重。进而,可用决策评价方法对待评对象进行评价分析。

According to the practical needs of agricultural standardization, the authors established a method for weighting hierarchical indices and simplifying structure of hierarchical index systems. In the method, the structure of a hierarchical index system was represented by a topological matrix and a weights matrix. The hierarchical index system was simplified to a conventional system of multiple indices and the comprehensive weights of bottom indices in the hierarchical index system were obtained also. They can be further used to make multi-index assessment using various methods of multi-attribute decision making.