基于距离测度的折衷型区间数多属性决策方法

A Compromise Method Based on the Distance Measure Between Interval Numbers in Multiple Attribute Decision Making

关键词:  多属性决策  权重  距离测度  排序指标值  区间数

Key words:  multiple attribute decision making  weights  distance measure  index value of ranking  interval numbers

摘要:

针对服从均匀分布的区间数情况,通过区间数之间的距离并考虑决策者的偏好,给出一种基于距离测度的折衷型区间数多属性决策方法,并以实例说明方法的有效性和可行性.该方法首先将区间数属性值转化为排序指标值,以方案排序指标值离差最大化为目标建立数学模型求得属性权重,然后按方案综合排序指标值的大小对方案进行排序.该方法充分利用已有的客观信息,结果准确可信,具有简洁、直观、便于上机实现等优点.

Abstract:

With the instance of interval numbers obeying even distribution, a compromise method based on the distance measure is developed by the distance between interval numbers with considering the preference of decision maker.The feasibility and effectiveness of the method is showed in a numerical example.In the method, the interval numbers attribute values are transferred into the index values of ranking.The attribute weights are gained by creating the mathematical model aimed at the most deviation between the index values of ranking of all the schemes.Finally, all the schemes are ranked by the compositive index values of ranking.