因素集合的重要性测度确定及其应用

DETERMINATION AND APPLICATION OF IMPORTANT MEASURE OF FACTORS SETS

本文应用主分量分析法确定单因素的重要性测度,类比独立事件的概率和计算公式,提出因素集合X中每个子集A对客体的重要性测度的计算公式.由此确定的重要性测度应用于Fuzzy积分对水质污染作综合评价的结果与实况相符合.

This paper introduces a new approach which derives the important measures of the single quality factors of an object by principal component analysis and presents a new calculative formula of the important measure of the subsets A in the factors sets X of an object. The application of the important measure given by this method to the comprehensive evaluation of the water contamination by using fuzzy integral coincides with practice.