Two-Parameters Fuzzy Ridge Regression with Crisp Input and Fuzzy Output

ýIn this paper a new weighted fuzzy ridge regression method for a given set of crisp input and triangular fuzzy output values is proposedý. ýIn this regardý, ýridge estimator of fuzzy parameters is obtained for regression model and its prediction error is calculated by using the weighted fuzzy norm of crisp ridge coefficientsý. . ýTo evaluate the proposed regression modelý, ýwe introduce the fuzzy coefficient of determination (FCD)ý. ýFuzzy regression is compared with its ridge version by using mean predict error and FCDý, ýnumericallyý. ýIt is evident from comparison results the proposed fuzzy ridge regression is superior to the non-ridge counterpar.