基于乘法偏好关系的群一致性偏差熵多属性群决策方法研究

在多属性群决策中, 针对每一个属性下决策者都有一个关于决策方案的乘法偏好关系的决策问题, 提出一种基于乘法偏好关系的群一致性偏差熵多属性群决策方法. 此方法考虑到不同属性下的决策者具有不同的权重, 并通过迭代运算可以达到群一致性水平, 从而得出最终的不同属性下决策者的权重; 同时, 可以利用偏差熵模型来求解属性权重, 利用这两个权重最终获得一个综合各方意见的群一致性乘法偏好关系. 最后通过算例分析验证了所提出方法的有效性.

A multi-attribute group decision method based on group consistency deviation entropy of multiplicative preference relation

Within the multiple attributes group decision making problems, for the case that each decision maker has amultiplicative preference relation referring to alternatives for each attribute, a multiple attributes group decision making method of group consistency deviation entropy model based on multiplicative preference relations is proposed, in which the decision makers are assigned with different weights in each attribute, and an iteration operation is introduced to reach the group consistency. After that, the decision makers’ weighting vector can be obtained. Furthermore, with the use of deviation entropy model, the attribute weighting vector can be worked out. Then the composite multiplicative preference relation with group consistency can be generated on the basis of above two weighting vectors. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.