运筹与管理2017，Vol.26Issue(5)：102-109,8.DOI:10.12005/orms.2017.0115
基于TFWPA算子的模糊优化组合预测模型及其应用
Fuzzy Optimal Combination Forecasting Model Based on TFWPA Operator and Its Application
摘要
Abstract
The prediction results are always real numbers or interval numbers in traditional combination forecasting methods.In fact,triangular fuzzy numbers can depict the characteristics of complicated things better under uncertain surroundings.Therefore,this paper proposes a new method in which the prediction information is expressed by triangular fuzzy numbers.The relative error between triangular fuzzy numbers is defined in this paper,and meanwhile,in order to embody the interactions of primitive forecasting data,the triangular fuzzy weighted power averaging(TFWPA) operator is introduced,and the fuzzy optimal combination forecasting model is developed based on TFWPA operator,triangular fuzzy weighted power geometric (TFWPG) operator and max-min criterion.The concepts of non-inferior combination forecasting and superior combination forecasting are presented,and it is proved that the proposed model is with non-inferior property.An example is also illustrated to show that the effectiveness of the proposed method is guaranteed,and sensitivity analysis is given to some parameters.关键词
三角模糊数/TFWPA算子/模糊优化/组合预测Key words
triangular fuzzy number/TFWPA operator/fuzzy optimal/combination forecasting分类
数理科学引用本文复制引用
朱家明,陈华友,周礼刚,刘金培..基于TFWPA算子的模糊优化组合预测模型及其应用[J].运筹与管理,2017,26(5):102-109,8.基金项目
国家自然科学基金资助项目(71371011,71301001,71501002) （71371011,71301001,71501002）
教育部高等学校博士点基金资助(20123401110001) （20123401110001）
安徽省自然科学基金(1508085QG149) （1508085QG149）
