摘要
We studied multiple attribute decision-making problems with uncertain linguistic information, in which the preference values took the form of uncertain linguistic variables. We introduced some operational laws of uncertain linguistic variables and a formula for the comparison between two uncertain linguistic variables. We proposed two new aggregation operators called extended uncertain linguistic aggregation (EULA) operator and interval linguistic aggregation (ILA) operator, and then develop an EULA operator-based linguistic approach and an ILA operator-based linguistic approach, respectively, to multiple attribute decision making in uncertain linguistic setting. The approaches were straightforward and do not produce any loss of information. Finally, an illustrative example was given to verify the developed approaches and to demonstrate their practicality and effectiveness.
研究了偏好值以不确定语言变量形式给出的多属性决策问题.介绍了不确定语言变量的运算法则,给出了不确定语言变量之间两两比较的可能度公式,提出了2种新的数据信息集成算子拓展的不确定语言集成(EULA)算子和区间语言集成(ILA)算子,并且分别提出了基于EULA算子和基于ILA算子的不确定语言环境下的多属性决策方法.这2种方法不仅简洁、易懂,而且在运算过程中不会丢失任何决策信息.最后,通过算例对2种方法的实用性和有效性进行了说明.
基金
ChinaPostdoctoralScienceFoundation(No.2003034366).
