文献类型：期刊文献

中文题名：基于灰色前景关联的多属性决策模型

英文题名：Multi-Attribute Decision Method Based on Grey Prospect Incidence

作者：王霞[1]

第一作者：王霞

机构：[1]河南财经政法大学工商管理学院

第一机构：河南财经政法大学工商管理学院

年份：2017

卷号：37

期号：3

起止页码：810-818

中文期刊名：系统科学与数学

外文期刊名：Journal of Systems Science and Mathematical Sciences

收录：北大核心:【北大核心2014】；CSCD:【CSCD2017_2018】；

基金：国家自然科学基金(71271086);国家青年社科项目(16CJY060);河南省软科学项目(172400410097);河南省高等学校重点科研(15A630005)资助课题

语种：中文

中文关键词：三参数区间灰数;靶界点;前景理论;灰色相对关联系数

外文关键词：Three-parameter interval grey number, target point, prospect theory,grey relative incidence coemcient.

摘要：针对方案属性值为三参数区间灰数的多属性决策问题,提出了一种基于灰色前景关联的多属性决策方法.定义了三参数区间灰数距离测度和排序方法;定义了靶心和靶界点,由此提出了子因素与最优理想效果向量和临界效果向量的灰色相对关联系数;分别以靶心和靶界点为参考点确定了前景价值函数,由此构建了求解最优权向量的优化模型,再求方案的综合前景值对方案进行排序.通过实例说明了该方法的合理性和有效性.
With regard to multi-attribute decision-making problems, in which the attribute value of alternatives are three-parameter interval grey number, a multi- attribute decision making method based on grey prospect incidence is proposed. Dis- tance measure and ranking method of three-parameters interval grey numbers is de- fined. Bull＇s-eye and target point is defined, and then the grey relative incidence coefficient of sub factors with respect to ideal optimal alternative evaluation vector and critical alternative evaluation vector is defined; the prospect value function is determined with reference to bull＇s-eye and target point, and a multi-index optimiza- tion model can be built to solve the optimum weight vector, then the alternatives are ranked based on integrated prospect values. An example was also presented to illustrate the usefulness and effectiveness of the proposed method.