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An enhanced two-level Boolean synthesis methodology for fuzzy rules minimization

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3 Author(s)
R. Rovatti ; Dept. of Electron., Bologna Univ., Italy ; R. Guerrieri ; G. Baccarani

A new methodology for the minimization of a given set of fuzzy rules is presented. It is based on a novel mapping of fuzzy relations on Boolean functions and exploits existing Boolean synthesis algorithms. In this mapping each fuzzy membership predicate is translated into a Boolean variable and proper constraints on Boolean manipulations are added to guarantee fuzziness translation. The formal consistency of the approach depends on a fuzzy semantic which easily generalizes most of the existing models, granting broad applicability to the suggested procedure. The applicability of an enhanced two-level Boolean minimizer is demonstrated, and the technique is applied to the fuzzy identification of nonlinear systems, consistently reducing the number of rules and easing application of further optimization interventions

Published in:

IEEE Transactions on Fuzzy Systems  (Volume:3 ,  Issue: 3 )