[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5351/CKSS.2010.17.4.611

Equivalence in Alpha-Level Linear Regression

Yoon, Jin-Hee (School of Economics, Yonsei University)
Jung, Hye-Young (Department of Mathematics, Yonsei University)
Choi, Seung-Hoe (School of Liberal Arts and Science, Korea Aerospace University)

Publication Information

Communications for Statistical Applications and Methods / v.17, no.4, 2010 , pp. 611-624 More about this Journal

Abstract

Several methods were suggested for constructing a fuzzy relationship between fuzzy independent and dependent variables. This paper reviews the use of the method by minimizing the square of the difference between an observed and a predicted fuzzy number in an ${\alpha}$ -level linear regression model. We introduce a new distance between fuzzy numbers on the basis of a mode, a core point and a radius of an ${\alpha}$ -level set of a fuzzy number an construct the fuzzy regression model using the proposed fuzzy distance. We also investigate sufficient condition for an equivalence in the ${\alpha}$ -level regression model.

Keywords

LR-fuzzy number; ${\alpha}$ -level linear regression model; MCR( ${\alpha}$ )-distance; equivalence;

Citations & Related Records

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