Abstract
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.
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© 1998 Springer-Verlag Wien
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Pearson, D.W., Dray, G., Peton, N. (1998). Fuzzy Vector Bundles for Classification via Neural Networks. In: Artificial Neural Nets and Genetic Algorithms. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6492-1_115
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DOI: https://doi.org/10.1007/978-3-7091-6492-1_115
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83087-1
Online ISBN: 978-3-7091-6492-1
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