Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
A Fuzzy Classifier with Polyhedral Regions
Takafumi SHIMOZAKITomoo TAKIGAWAShigeo ABE
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2001 Volume 14 Issue 7 Pages 364-371

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Abstract

In this paper, we discuss a fuzzy classifier with polyhedral regions. First, we generate an initial convex hull of the maximum dimension using the data, included in a class, in the general positions. Next, we modify the convex hull using one training datum at a time by the dynamic convex hull generation method. Finally, for each convex hull we define a membership function using the minimum operator. We demonstrate the effectiveness of our method using iris and thyroid data sets.

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