区间灰色多属性决策IOWA算子赋权方法研究  

Multi-attribute Decision Making Problem Based on Interval Grey Number and IOWA Operator

作　　者：陶志富[1] 周礼刚[1] 陈华友[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《武汉理工大学学报（信息与管理工程版）》2010年第3期430-433,共4页Journal of Wuhan University of Technology：Information & Management Engineering

基　　金：国家自然科学基金资助项目(70571001);安徽省优秀青年科技基金资助项目(08040106835);安徽高等学校省级教学研究基金资助项目(2007jyxm177)

摘　　要：针对属性值为区间灰数、属性权重部分已知的多属性决策问题,定义了方案各属性值与其相对最优属性值之间的区间灰数相离度,同时引入IOWA算子对方案属性值进行集结,建立了基于相离度准则的最优化模型,给出了各属性的权重赋权方法,从而获得方案综合评价值并对方案进行排序和择优。最后,通过一个算例验证了所提方法的可行性和有效性。For the multi-attribute decision making with interval grey attribute values and partially known attributes′ weights,the deviation degree of interval grey number was defined by comparing each scheme′s attribute values with their relative optional values.The IOWA operator was also introduced to aggregate each scheme′s attribute values.The optimal model was established based on the deviation degree,which provided weighting methods to the attributes.The comprehensive evaluation values of alternatives were therefore obtained and used to choose the optimal alternatives.Finally,a numeric example was illustrated to verify feasibility and validity of the proposed method.

关 键 词：区间灰数 多属性决策 IOWA算子 相离度 

分 类 号：C934[经济管理—管理学] O221.2[理学—运筹学与控制论]