vague集的多指标决策问题的优劣点法

The Optimal and Inferior Point Method of Multiple Attribute Decision Making Problem with Vague Sets

就vague集的多指标决策问题,引入了方案集的最优点和最劣点的概念,由此给出了vague集多指标决策问题的优劣点法.首先计算各方案的各单指标对理想vague值[1,1]的投影和距离,从而建立评价矩阵,然后根据评价矩阵的各单一指标对应数值的大小得到方案的最优点和最劣点,通过计算各方案到最优点和最劣点的距离以及接近度对方案进行排序,得出最优方案.该方法简单实用,所需信息少,实例验证了该方法的有效性.

In the light of the multiple criteria decision-making problems, by introducing the defiitions of optimal plan and inferior plan, the paper gives a new method. Firstly, by calculating the distance and projectivity of vague set for the alternative to the ideal value, the evaluation matrix is obtained. Secondly, the optimal plan and the inferior plan are obtained according to numerical value of the evaluation matrix. On this basis, by calculating the distance and adjacent degree of every plan to the optimal plan, the best alternative can be obtained and every alternative is ranked. This method is simple, practical and demands less information. Finally, a practical example demonstrates the validity of the method.