Equivalence in Alpha-Level Linear Regression

Title & Authors
Equivalence in Alpha-Level Linear Regression
Yoon, Jin-Hee; Jung, Hye-Young; Choi, Seung-Hoe;

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 $\small{{\alpha}}$-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 $\small{{\alpha}}$-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 $\small{{\alpha}}$-level regression model.
Keywords
LR-fuzzy number;$\small{{\alpha}}$-level linear regression model;MCR($\small{{\alpha}}$)-distance;equivalence;
Language
English
Cited by
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