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Visualizing High Dimensional Fuzzy Rules

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PeachFuzz 2000. 19th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.00TH8500). IEEE, 2000, pp. 64-68. ISBN 0-7803-6274-8. Available under: doi: 10.1109/NAFIPS.2000.877386

Zusammenfassung

In this paper we present an approach to visualize a potentially high-dimensional and large number of (fuzzy) rules in two dimensions. This visualization presents the entire set of rules to the user as one coherent picture. We use a gradient descent based algorithm to generate a 2D-view of the rule set which minimizes the error on the pair-wise fuzzy distances between all rules. This approach is superior to a simple projection and also most non-linear transformations in that it concentrates on the important feature, that is the inter-point distances. In order to make use of the uncertain nature of the underlying fuzzy rules, a new fuzzy distance-measure was developed. The visualizations of a rule set for the well-known IRIS dataset as well as fuzzy models for other benchmark data sets are illustrated and discussed.

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PeachFuzz 2000. 19th International Conference of the North American Fuzzy Information Processing Society - NAFIPS, Atlanta, GA, USA
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ISO 690BERTHOLD, Michael R., Rainer HOLVE, 2000. Visualizing High Dimensional Fuzzy Rules. PeachFuzz 2000. 19th International Conference of the North American Fuzzy Information Processing Society - NAFIPS. Atlanta, GA, USA. In: PeachFuzz 2000. 19th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.00TH8500). IEEE, 2000, pp. 64-68. ISBN 0-7803-6274-8. Available under: doi: 10.1109/NAFIPS.2000.877386
BibTex
@inproceedings{Berthold2000Visua-24299,
  year={2000},
  doi={10.1109/NAFIPS.2000.877386},
  title={Visualizing High Dimensional Fuzzy Rules},
  isbn={0-7803-6274-8},
  publisher={IEEE},
  booktitle={PeachFuzz 2000. 19th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.00TH8500)},
  pages={64--68},
  author={Berthold, Michael R. and Holve, Rainer}
}
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