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具有方案偏好信息的灰色多属性决策方法
Uncertain Multi-attribute Decision Making Method with Alternative Scheme Preference Information
【摘要】 研究了对方案含有主观偏好且指标取值为区间灰数的多属性决策问题.利用主观条件概率和客观条件概率构造出灰偏差函数,基于灰偏差函数给出逼近于主观条件概率的优化模型,通过求解该模型得到了属性的权重向量,并由区间灰数排序公式得到方案的排序.应用实例说明了该方法的可行性和有效性.
【Abstract】 This paper studies multi-attribute decision making problem with internal grey number valued index,which include alternative scheme preference information.We construct grey deviated function through subjective conditional probability and objective conditional probability.Based on grey deviated function,an approach to subjective conditional probability optimized model is proposed.By using the model,the attribute weights can be gotten.The decision alternatives are ranked by using the priority formula of interval grey number.Finally,an example is given to show the feasibility and availability of this method.
【Key words】 grey system; multi-attribute decision-making; condition probability; deviated function;
- 【文献出处】 厦门大学学报(自然科学版) ,Journal of Xiamen University(Natural Science) , 编辑部邮箱 ,2008年03期
- 【分类号】O223
- 【被引频次】5
- 【下载频次】271