摘要
针对决策者关于每个属性给出方案集的偏序偏好,决策者没有确定权重的多属性群决策问题,提出了一种新的集结排列方法。该方法首先利用偏序的线性扩张求出方案集在各个属性下的排列概率,进而定义一偏好关系的概念,得到每对方案间的偏好度,然后采用OWA算子对决策群体进行集结,集结后的群体偏好具有偏序特征,能更真实地体现现实的决策问题,并且最大程度地反映了决策群体的偏好。最后给出了一个算例。
A new aggregating method was presented for ranking alternatives based on partial order prefer-ence of groups about each criterion given by decision makers, and the multi-attribute group decision-mak-ing problem about decision makers＇ having no determining weights. The ranking probability between al-tematives for each criterion is worked out by using the linear extensions of the partial order, and then the preference degree between alternatives is obtained through defining the preference relation. Based on OWA operators, the preference information provided by every decision maker is aggregated into group preference and the group preference with partial order characteristic, the participants＇ preference is re-flected by the result at most. Finally, a numerical example is used to show the feasibility and effectiveness of the proposed method.
出处
《西南科技大学学报》
CAS
2007年第2期86-91,共6页
Journal of Southwest University of Science and Technology
基金
国家自然科学基金资助项目(79770053)
关键词
运筹学
多属性群决策
偏序
偏好
线性扩张
operations research
multiple attribute group decision-making
partial order
preference
linear extensions
