“奖优罚劣”的区间数多指标决策的关联分析法

Relative Analysis Method of the Multiple Attribute Desion Making with Interval Numbers Based on "Rewarding Good and Punishing Bad"

针对区间数多指标系统的决策特点,对指标数据初始化处理时,利用“奖优罚劣”原则,提出了一种易于计算且实用的[-1,1]线性变换算子,然后定义正、负理想方案,结合灰色关联分析方法,建立一种新的区间数多指标的灰色关联决策模型.该模型为区间数多指标决策提供了一种科学、实用的方法,并利用现有的实例来证实此方法的科学性与可行性.

For the decision character of multiple attribute decision making with interval numbers, in initializing the attribute data, a new linear changing operator in [-1,1], which is easy to compute and be applied, is proposed. Then the positive and negative ideal point are defined, a new grey relative decision making model was proposed for multiple attribute decision making with interval numbers, which is based on the method of grey relation analysis. All of the above provide a scientific and applied decision method for multiple attribute decision making with interval numbers. Lastly, this method is demonstrated to be scientific and effective with a practical example.