区间数密度算子及其应用  

Interval Number Density Operator and Its Application

作　　者：李伟伟[1] 易平涛[1] 郭亚军[1] 

机构地区：[1]东北大学工商管理学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2012年第7期1043-1046,共4页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(71071031;70801013);中央高校基本科研业务费专项资金资助项目(N100406008)

摘　　要：针对决策信息为区间数形式的不确定多属性决策问题,将密度中间算子由精确值形式拓展到区间数形式.通过引入"区间隶属度"的概念对区间数进行聚类,并给出一种通过规划模型确定密度加权向量的方法;在此基础上,对区间数密度中间算子及其合成算子进行了界定.最后,通过一个算例对区间数密度算子的应用进行了说明.该方法结合区间数的特征,进一步拓展了密度算子的理论体系和实际应用范围.Aiming at the uncertain multi-attribute decision making of interval numbers, the density operator was extended from exact values to interval numbers. First, the notion of interval attaching degree was introduced so as to cluster interval numbers, and the density weighting vector was determined by adopting a programming model. Then based on this, the interval number density middle （IDM） aggregation operator and its composite operators were defined. At last, one example was given to illustrate the application of this interval number density operator. By integrating the features of interval numbers, this method can further expand the theoretical system and aPPlication fields of density operators.

关 键 词：多属性决策 不确定多属性决策 区间数密度算子 区间数聚类 密度加权向量 

分 类 号：C934[经济管理—管理学]