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

  • Authors:
  • R. Rovatti;R. Guerrieri;G. Baccarani

  • Affiliations:
  • Dept. of Electron., Bologna Univ.;-;-

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 1995

Quantified Score

Hi-index 0.00

Visualization

Abstract

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