多目标灰色局势决策方法研究

Study on Decision-making Method for Multi-objective Grey Situation Decision

在传统灰色局势决策的基础上,探讨了评价信息为区间灰数的情况,给出了多目标灰色局势决策问题确定目标权重的优化模型.首先考虑不同目标下各局势效果测度与正理想效果测度、负理想效果测度的偏差建立优化模型,获得各局势的理想目标权重;再从全局考虑建立二次规划模型,通过协调权向量获得灰色局势决策各目标的最佳综合权重向量.利用区间灰数可能度公式对每个事件的局势进行排序,获得最优局势,从而进一步完善了传统的灰色局势决策理论和分析方法.最后通过实例验证了该模型的有效性和可行性.

This paper makes the grey situation decision expand to the decision making information for the interval numbers . The optimization method of objective weights of grey situation decision is proposed, considering the deviation of effect measure based on positive ideal effect value and negative ideal effect value in situation. A multi-objective optimization model is established. The ideal objective weights in situation are obtained. Furthermore, the quadratic programming model is established thinking from the overall corLsideration. Through the compromise right vector gain the expression of objective weight of grey situation decision. Sorting the situation of everything by using possibility of interval number, the paper improves the theory of the traditional grey situation further. Finally, the effectiveness and availability of the model are proved by a real case in point.