Fuzzy linear regression analysis for fuzzy input-output data using shape-preserving operations

In this paper, we have presented a new method to evaluate fuzzy linear regr ession models based on Tanaka's approach, where both input data and output data are fuzzy numbers, using T-w-based fuzzy arithmetic operations. This m ethod simplifies the computation of fuzzy arithmetic operations. General li near program is applied to derive the solutions. We also prove scale-indepe ndent property of our models and discuss the effects of outliers. (C) 2001 Elsevier Science B.V. All rights reserved.