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Soft Computing

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20.06.2015 | Foundations

Sensitivity analysis of fuzzy rule-based classification systems by means of the Lipschitz condition

verfasst von: Andrea Mesiarová-Zemánková

Erschienen in: Soft Computing | Ausgabe 1/2016

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Abstract

The fuzzy rule-based classifier can be taken as a function that assigns to a point from the feature space a class, or a class with an association degree. Under this assumption, the robustness of fuzzy rule-based classifiers is investigated by means of the Lipschitz condition. The Lipschitz continuity of fuzzy sets, fuzzy rules and whole fuzzy rule-based classifiers is examined for multi-polar outputs, extended multi-polar outputs and outputs in the form of a class. Related performance of a fuzzy rule-based classifier is also discussed. All studied concepts are shown on an exemplar fuzzy rule-based classifier.

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Titel: Sensitivity analysis of fuzzy rule-based classification systems by means of the Lipschitz condition
verfasst von: Andrea Mesiarová-Zemánková
Publikationsdatum: 20.06.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 1/2016
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-015-1744-z

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