Vagueness of Regression Models Part I – Linear Regression Fuzzification Neurčitost Regresního Modelu Část I – Fuzzifikace Lineární Regrese
نویسندگان
چکیده
The theoretical background for abstract formalization of the vague phenomenon of complex systems is the fuzzy set theory. In the paper, vague data is defined as specialized fuzzy sets fuzzy numbers and a fuzzy linear regression model is described as a fuzzy function with fuzzy numbers as vague regression parameters. To identify the fuzzy coefficients of the model, the genetic algorithm is used. The linear approximation of the vague function together with its possibility area is analytically and graphically expressed. Suitable numerical experiments are performed, namely the task of two-dimensional fuzzy function modelling and the time series fuzzy regression analysis.
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