Equivalence in Alpha-Level Linear Regression Yoon, Jin-Hee; Jung, Hye-Young; Choi, Seung-Hoe;
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 -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 -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 -level regression model.
LR-fuzzy number;-level linear regression model;MCR()-distance;equivalence;
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