EXTENDED FUZZY LINEAR-MODELS AND LEAST-SQUARES ESTIMATES

Citation
P. Diamond et R. Korner, EXTENDED FUZZY LINEAR-MODELS AND LEAST-SQUARES ESTIMATES, Computers & mathematics with applications, 33(9), 1997, pp. 15-32
Citations number
13
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
ISSN journal
08981221
Volume
33
Issue
9
Year of publication
1997
Pages
15 - 32
Database
ISI
SICI code
0898-1221(1997)33:9<15:EFLALE>2.0.ZU;2-1
Abstract
Least squares regression of the Fuzzy linear model is extended to over come and interpret the occurrence of negative spreads tl]. The idea is to introduce best fit difference models which exploit both the Hukuha ra difference and the L-2-metric distance. The fuzzy models use LR-fuz zy numbers. Fitted models are compared by using the coefficient of det ermination, in a similar way to its use in classical statistical least squares fitting. The non-LR-fuzzy case is also considered.