基于直觉模糊集合的精确输入模糊输出的模糊回归模型  

Fuzzy Regression Model of Precise Input and Fuzzy Output Based on Intuitionistic Fuzzy Set

作　　者：翟忱 曲智林[1] ZHAI Chen;QU Zhilin(College of Science, Northeast Forestry University, Harbin 150040, China)

机构地区：[1]东北林业大学理学院,黑龙江哈尔滨150040

出　　处：《沈阳大学学报（自然科学版）》2021年第6期523-529,共7页Journal of Shenyang University：Natural Science

基　　金：国家自然科学基金资助项目(12001088);黑龙江省自然科学基金联合指导项目(LH2019A002)。

摘　　要：基于LR型直觉模糊数,研究了一类模糊线性回归模型,此模型的输入为精确数据,输出为直觉模糊数据,回归系数为LR型直觉模糊数,并通过模糊最小二乘法给出了估计直觉模糊参数的方法。将判定系数扩展到直觉模糊环境中,通过模糊判定系数来检验模型的拟合优度。最后通过算例验证了该方法是可行的。A fuzzy linear regression model based on LR intuitionistic fuzzy numbers was studied.The inputs of this model are accurate data,the outputs are intuitionistic fuzzy data,and the regression coefficients are LR intuitionistic fuzzy numbers.The method of estimating intuitionistic fuzzy parameters is given by fuzzy least square method.The decision coefficients are extended to intuitionistic fuzzy environment,and the goodness of fit of the model is tested by fuzzy decision coefficients.Finally,an example is given to verify the feasibility of this method.

关 键 词：直觉模糊集 模糊回归模型 LR型直觉模糊数 模糊最小二乘法 模糊判定系数 

分 类 号：O212.1[理学—概率论与数理统计]