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Title

A Regression Model for Fuzzy Initial Data.

Authors

Domrachev, V. G.; Poleshuk, O. M.

Abstract

A fuzzy combined linear regression model for fuzzy initial data, which are tolerant (L-R)-numbers with constraints on the functions L and R, is designed. The model is called combined since it is a combination of two regression models—a fuzzy model and a classical model. Its coefficients are determined as unimodal (L-R)-numbers. The solution method consists in determining weighted intervals for the tolerant (L-R)-numbers and then applying of the least-squares method.

Subjects

REGRESSION analysis; MATHEMATICAL statistics; FUZZY mathematics; INTERVAL analysis; LEAST squares

Publication

Automation & Remote Control, 2003, Vol 64, Issue 11, p1715

ISSN

0005-1179

Publication type

Academic Journal

DOI

10.1023/A:1027322111898

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