模糊优化问题中最优水平值的确定方法

Decision making Method of Optimal Level Value for Fuzzy Optimization Problem

模糊优化问题的基本解法是根据最优水平截集概念，将模糊优化转化为常规优化，再用常规优化方法求解，这种解法的关键是如何确定最优水平值。本文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，具有较好的应用价值。

The fundmental method for solving the fuzzy optimization problem is coverting the fuzzy optimization prloblem into the usual optimization problem based on the optimal level cut set, then utilites the usual optimization method toresolve it, the key of the metod is how to decide the optimal leval value. This paper considers all kinds of factors, the factor class, the factor fuzziness, and the different influences of the factor on the different optimal level value. Then utilizes the method of the second class fuzzy evaluation to decide the optimal leval value of every fuzzy constrain interval respectively. The example shows that the method reflects the influences of all kinds of factors on the optimal level value objectively, and has better applied value.