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Numerical construction of membership functions and aggregation operators from empirical data

conference contribution
posted on 2000-01-01, 00:00 authored by Gleb BeliakovGleb Beliakov
A good choice of membership functions and aggregation operators is crucial for the behaviour of fuzzy systems. Goodness of fit to empirical data and flexibility in modelling various situations are the main criteria used by developers. This paper provides a general method for a non-parametric representation of membership functions and aggregation operators using constrained spline functions. Tensor-product monotone splines are used to approximate aggregation operators directly, while univariate splines are used to approximate their additive generators. Examples based on published empirical data are provided. © 2000 Int. Soc. Inf. Fusion.

History

Volume

1

Location

Paris, France

Start date

2000-07-10

End date

2000-07-13

Publication classification

EN.1 Other conference paper

Title of proceedings

Proceedings of the 3rd International Conference on Information Fusion, FUSION 2000

Publisher

IEEE

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