Extended fuzzy linear models and least squares estimates

被引:90
作者
Diamond, P [1 ]
Korner, R [1 ]
机构
[1] FREIBERG UNIV MIN & TECHNOL,FAC MATH & COMP SCI,D-09596 FREIBERG,GERMANY
关键词
fuzzy linear regression; least squares estimates; Hukuhara difference;
D O I
10.1016/S0898-1221(97)00063-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Least squares regression of the Fuzzy linear model is extended to overcome and interpret the occurrence of negative spreads tl]. The idea is to introduce best fit difference models which exploit both the Hukuhara difference and the L-2-metric distance. The fuzzy models use LR-fuzzy numbers. Fitted models are compared by using the coefficient of determination, in a similar way to its use in classical statistical least squares fitting. The non-LR-fuzzy case is also considered.
引用
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页码:15 / 32
页数:18
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