基于最大——最小贴近度的IOWA算子最优组合预测模型  

The Optimal Combination Forecasting Model Based on the Maximum-minimum Approach Degree and Induced Ordered Weighted Averaging(IOWA) Operator

作　　者：金飞飞[1] 陈华友[1] 周礼刚[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《数学的实践与认识》2013年第7期110-116,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(71071002);安徽省高等学校自然科学基金(KJ2012A026;KJ2012Z055);安徽大学学术创新团队资助(KJTD001B;SKTD007B);高等学校博士学科点专项科研基金(20123401110001);教育部留学回国人员科研启动基金;安徽省自然科学基金(1308085QG127)

摘　　要：将最大一最小贴近度与IOWA算子相结合,建立了基于最大一最小贴近度的IOWA算子最优组合预测模型,并且定义了在最大一最小贴近度下非劣性组合预测、预测方法优超等概念.在此模型下,研究了模型的非劣性组合预测及优性组合预测存在的充分条件.最后给出实例分析,表明该组合预测方法的有效性.In this paper, we propose an optimal combination forecasting model based on the maximum-minimum approach degree and IOWA operator. Subsequently, we give the concept of non-inferior combination forecasting and dominant forecasting method under the maximum-minimum approach degree. We also study the properties of the model, such as the sufficient condition of existence for the non-inferior combination forecasting and superior combination forecasting of the model. Finally, an example is given to illustrate the proposed approach, which shows the effectiveness of the combination forecasting method.

关 键 词：组合预测 最大-最小贴近度 IOWA算子 

分 类 号：O177[理学—数学] O224[理学—基础数学]