A Linear Regression Model for Nonlinear Fuzzy Data
Fuzzy linear regression is an interesting tool for handling uncertain data samples as an alternative to a probabilistic approach. This paper sets forth uses a linear regression model for fuzzy variables; the model is optimized through convex methods. A fuzzy linear programming model has been designed to solve the problem with nonlinear fuzzy data by combining the fuzzy arithmetic theory with convex optimization methods.
Two examples are solved through different approaches followed by a goodness of fit statistical analysis based on the measurement of the residuals of the model.
KeywordsFuzzy Number Linear Regression Model Fuzzy Variable Linear Programming Model Fuzzy Data
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