序数偏好下多属性群决策的最小偏差法
发布时间：2018-08-16 07:41
【摘要】：对给出方案优先序的多属性群决策问题,考虑每个属性下各决策的权重,提出一种最小偏差法:以群体偏好与各个体偏好之间的加权偏差最小为目标建立非线性整数规划模型,并将其转化为指派问题求得方案在每个属性下的群体排序;以方案在每个属性下的排序与其综合排序的加权偏差最小为目标,解得方案的最终群体综合排序结果。该方法将Cook-Seiford函数扩展到多属性及考虑权重的情形,避免了排序结果的非唯一性。最后,以供应商选择算例说明其应用。
[Abstract]:Considering the weight of each decision under each attribute, a minimum deviation method is proposed for the multi-attribute group decision making problem in which the priority order of the scheme is given. A nonlinear integer programming model is established with the objective of minimum weighted deviation between group preference and individual preference. It is transformed into the assignment problem to obtain the group ranking of the scheme under each attribute, and the final group comprehensive sorting result of the scheme is obtained by taking the minimum weighted deviation between the scheme sorting under each attribute and its comprehensive sorting as the goal. In this method, the Cook-Seiford function is extended to the case of multiple attributes and weight, and the non-uniqueness of the sorting result is avoided. Finally, an example of supplier selection is given to illustrate its application.
【作者单位】： 湖南理工学院信息与通信工程学院;湖南理工学院数学学院;
【基金】：国家自然科学基金资助项目(60904059,60975049) 国家高技术研究发展计划资助项目(2009AA04Z107) 湖南省教育厅优秀青年资助项目(08B030)
【分类号】：C934
[Abstract]:Considering the weight of each decision under each attribute, a minimum deviation method is proposed for the multi-attribute group decision making problem in which the priority order of the scheme is given. A nonlinear integer programming model is established with the objective of minimum weighted deviation between group preference and individual preference. It is transformed into the assignment problem to obtain the group ranking of the scheme under each attribute, and the final group comprehensive sorting result of the scheme is obtained by taking the minimum weighted deviation between the scheme sorting under each attribute and its comprehensive sorting as the goal. In this method, the Cook-Seiford function is extended to the case of multiple attributes and weight, and the non-uniqueness of the sorting result is avoided. Finally, an example of supplier selection is given to illustrate its application.
【作者单位】： 湖南理工学院信息与通信工程学院;湖南理工学院数学学院;
【基金】：国家自然科学基金资助项目(60904059,60975049) 国家高技术研究发展计划资助项目(2009AA04Z107) 湖南省教育厅优秀青年资助项目(08B030)
【分类号】：C934
【参考文献】
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