Fuzzy Vector Bundles for Classification via Neural Networks

  • D. W. Pearson
  • G. Dray
  • N. Peton
Conference paper


In this paper we propose a method of classification based on standard feedforward neural networks. The novelty of the approach is that we calculate local approximations of Lie algebras which generate the leaves of a foliation, each leaf corresponds to a class. From these linear approximations we pass to the case where a point on a leaf is not known with precision but can be specified using fuzzy set theory. Integrating the approximating linear equations then provides us with ‘fuzzy leaves’ or fuzzy classes.


Fuzzy Number Fuzzy Classis Bias Vector Fuzzy Differential Equation Local Linear Approximation 
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Copyright information

© Springer-Verlag Wien 1998

Authors and Affiliations

  • D. W. Pearson
    • 1
  • G. Dray
    • 1
  • N. Peton
    • 1
  1. 1.Nonlinear and Uncertain Systems GroupLaboratoire de Génie Informatique et d’Ingénierie de Production EMA-EERIENîmesFrance

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