Preserving piece-wise linearity in fuzzy interpolation

Authors:
Zhiheng Huang;Qiang Shen
Affiliations:
EECS Department, University of California at Berkeley, CA;Department of Computer Science, Aberystwyth University, Wales, UK
Venue:
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Year:
2009

Citing 6
Cited 1

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Fuzzy rule interpolation based on the ratio of fuzziness of interval type-2 fuzzy sets

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Abstract

Fuzzy interpolative reasoning plays an important role in fuzzy modelling as it not only helps to reduce the number of rules in a rule base, but also provides an inference mechanism for sparse rule bases. In interpolation, it is desirable to preserve piece-wise linearity as piece-wise linear results can thus be inferred from piece-wise linear rules and observations. This safely ensures the ignorance of non-characteristic points in performing interpolations. However, almost all existing fuzzy interpolative reasoning methods do not preserve piecewise linearity for general polygonal fuzzy sets. This paper, based on the work of [1], proposes a new interpolative method which preserves this property.