模糊优化问题中最优水平值的灰色综合评判方法

Grey Comprehensive Evaluation Method for Optimal Level Value in Fuzzy Optimization Problem

模糊优化问题的基本解法是根据最优水平截集的概念，将模糊优化转化为常规优化，再用常规优化方法求解，这种解法的关键是确定最优水平值．本文基于灰色理论，提出了模糊优化问题中最优水平值的灰色多层次综合评判模型，克服了一般综合评判法常常丢失信息的不足．实例表明，该模型计算简便、科学合理、可信性强。

The fundamental method of the fuzzy optimization problem is coverting the fuzzy optimization problem into the usual optimization problem based on the optimal level cut set, then utilizing the usual optimization method to resolve it. The key of the method is how to decide the optimal level value.This paper presents the grey multi hierarchical comprehensive evaluation model of the optimal level value for fuzzy optimization problem based on the grey theory, and overcomes the shortcoming of the loss information on the usual comprehensive evaluation method. The exmple has shown that this model is rational and simple in calculation, and it is a new way to determine the optimal level value of fuzzy optimization problem.