模糊约束条件中最优水平值的综合评判

具有模糊约束的优化问题基本解法是根据最优水平截集的概念，将模糊约束转化为常规约束，从而将模糊优化问题转化为常规优化问题，其中最优水平值的确定是非常关键的。综合考虑影响最优水平值的各种因素、因素等级、因素的模糊性以及因素对不同水平值的影响程度，采用二级模糊综合评判方法，分别确定每个模糊约束范围上的最优水平值。实例表明，这种方法更加客观地反映了各种模糊因素对最优水平值的影响，具有一定的应用价值。

Comprehensive Evaluation of Optimal Level Value in Fuzzy Constrain

The basic method for solving the optimization problem with fuzzy constrain is converting the fuzzy optimization problem into the usual optimization problem based on the optimal level cut set. The later problem can be resolved by the usual method. The key of this method is how to decide the optimal level value. In this paper, all kinds of factors: the factor class, the factor fuzziness and the different influence of the factors on the different optimal level value were considered. The method of second-class comprehensive evaluation was used to decide the optimal level value of every fuzzy constrain. The example showed that the method reflected the influence of all kinds of factors on the optimal level value and had much value in application.