Fuzzy linear regression analysis: a multi-objective programming approach

Fuzzy regression analysis is an extension of the classical regression analysis that is used in evaluating the functional relationship between the dependent and independent variables in a fuzzy environment. Fuzzy regression has been criticized because it is sensitive to outliers, it does not allow all data points to influence the estimated parameters, and the spread of the estimated values become wider as more data are included in the model. In this paper, we develop a multi-objective fuzzy linear regression model to overcome the above shortcomings.