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A linear regression model using triangular fuzzy number coefficients

✍ Scribed by K.K. Yen; S. Ghoshray; G. Roig

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
482 KB
Volume
106
Category
Article
ISSN
0165-0114

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✦ Synopsis

Fuzzy regression analysis using fuzzy linear models with symmetric triangular fuzzy number coefficients has been formulated earlier. The goal of this regression is to find the coefficients of a proposed model for all given input-output data sets. In this paper, we extend the results of a fuzzy linear regression model that uses symmetric triangular coefficient to one with non-symmetric fuzzy triangular coefficients. This work eradicates the inflexibility of existing fuzzy linear regression models.

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## Abstract Consider the two linear regression models of __Y__~__ij__~ on __X__~__ij__~, namely __Y__~__ij__~ = Ξ²~__io__~ + Ξ²~__ij__~, __X__~__ij__~ + __E__~__ij__~ = 1, 2,…, __n__~__i__~, __i__ = 1, 2, where __E__~__ij__~ are assumed to be normally distributed with zero mean and common unknown var