基于证据推理的不确定多属性决策方法  

Evidential Reasoning-Based Approach for Multiple Attribute Decision Making Problems under Uncertainty

作　　者：郭凯红[1] 李文立[2] 

机构地区：[1]辽宁大学信息学院,辽宁沈阳110036 [2]大连理工大学管理学院,辽宁大连116023

出　　处：《管理工程学报》2012年第2期94-100,共7页Journal of Industrial Engineering and Engineering Management

基　　金：国家自然科学基金资助项目(70972058);国家自然科学基金重大资助项目(70890083);教育部社科研究青年基金资助项目(10YJC630063)

摘　　要：针对基本属性权重的不确定性,以及基本属性与广义属性评价集的不一致性等问题,提出一种基于证据推理的不确定多属性决策方法,将证据推理算法推广到更一般的决策环境中。根据决策矩阵的信息熵客观地获得属性的权系数;而对于基本属性与广义属性评价集不一致的情况,则通过对基本属性分布评价的模糊化及模糊变换,合理地实现到广义分布评价的统一形式;最后应用证据推理算法得到整个方案集的排序。实例结果表明,该方法是可行的、有效的。The previous study shows that the evidential reasoning algorithm is an effective and rational method to solve MADM （Multiple Attribute Decision Making） problems under uncertainty. However, the method has constraints that attribute weights should be deterministic and evaluation grades assessing basic attributes and general attributes should be consistent. However, these constraints are not relevant to the actual decision-making problems, espeeially for basic qualitative attributes. Existing subjective and objective methods have defect for basic attribute weights. Most methods assume that the grade is the same in order to evaluate grades based on basic and general attributes. Therefore, these methods are not effective to assist the decision making process and solve problems. In consideration of the weakness of previous study, this study proposes a method based on the evidential reasoning for MADM under uncertainty with the goal of extending evidential reasoning algorithm into a more general decision environment.

关 键 词：证据推理 多属性决策 信息熵 模糊变换 

分 类 号：C934[经济管理—管理学] TP18[自动化与计算机技术—控制理论与控制工程]