Fuzzy Linear Regression Analysis

Abstract The theoretical background for abstract formalization of vague phenomenon of the complex systems is fuzzy set theory. In the paper vague data as specialized fuzzy sets - fuzzy numbers are defined and it is described a fuzzy linear regression model as a fuzzy function with fuzzy numbers as vague parameters. Interval and fuzzy regression technologies are discussed, the linear fuzzy regression model is proposed. To identify fuzzy regression coefficients of model genetic algorithm is applied. The numerical example is presented and the possibility area of vague model is illustrated.