模糊积分评价模型

Evaluation Model by Fuzzy lntegral

本文建立了在有限集上模糊积分的一般表达式及其性质，证明了在有限集上模糊积分取值的充要条件。并以此为理论依据，分析了模糊积分的评价机理与功能，使之成为适用于多样品综合评价问题的评价模型。又讨论了评价因素权分配，在一定条件下变化时，样品评价结果的稳定性，建立了不变区间的定义及其计算方法，为认识参评样品的评价结果及其优序关系，提供了重要的信息。

The paper established a general expression and the character of thefuzzy integral in a finited set and proved the sufficient and necessary conditions forvalue setting in a fuzzy integral of a finited set. The paper also analysed,on the basis of the theory, the function and evalua-tion mechanism of the fuzzy integral in order to meet with the requirement of theevaluation model for comprehensive multi- sampling evaluation. It also discussedthe distribution of the weights of factors, the stability of the evaluation results un-der variation of certain conditions, established the definition of invariability inter- val and the methods for calculation,thus,providing important information appre-hending the evaluation results of the sampling and the rank of satisfaction.