基于面积的灰色关联决策模型  

Grey incidence decision making model based on area

作　　者：蒋诗泉[1,2] 刘思峰[1] 刘中侠[2] 方志耕[1] 

机构地区：[1]南京航空航天大学经济与管理学院,南京210016 [2]铜陵学院数学与计算机学院,安徽铜陵244000

出　　处：《控制与决策》2015年第4期685-690,共6页Control and Decision

基　　金：国家自然科学基金项目(71171113);教育部人文社会科学研究项目(11YJC630074);安徽省高校省级自然科学研究项目(KJ2012Z409);安徽省自然科学基金项目(1208085MG121)

摘　　要：以灰色关联决策理论为基础,分析经典灰色关联决策方法的优缺点.从两曲线相邻点间多边形面积的角度度量曲线在距离上的接近性和几何形状的相似性,提出以被选方案与理想方案间两相邻点的多边形面积作为关联系数,构建了灰色关联度公式.为了解决信息利用不充分和变化趋势不一致性问题,拟考虑被选方案与理想方案和负理想方案的关联度,构建了灰色关联相对贴近度模型.通过算例验证了所提出的灰色关联决策模型的合理性和算法的有效性.The advantages and shortcomings of the classical grey relational decision-making method are analyzed based on grey relational decision theory. The polygon area between adjacent points in the curve is considered to measure the proximity of the curve on the distance and the similarity of the geometry shape; And the polygon area between adjacent points in the selected project and ideal project is regarded as the relational coefficient to construct the grey relational formula. In order to settle the problems of insufficient information using and inconsistent changes, the correlation between the selected project and the ideal project needs to be considered, and the model of grey incidence relative closeness is constructed. An example is given to verify the rationality of the grey relational decision model and the effectiveness of the proposed algorithm.

关 键 词：灰色关联度 贴近度 面积关联系数 决策模型 

分 类 号：N941.5[自然科学总论—系统科学]