Centroid of a type-2 fuzzy set
Information SciencesPublished 1 February 2001
Nilesh N. Karnik, Jerry M. Mendel
Citations1,197
SJR quartileQ1
SJR score1.80
SNIP1.98
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TL;DR
The centroid and generalized centroid of a type-2 fuzzy set are introduced, and how to compute them is explained, and examples are given that compare the exact computational results with the approximate results.
Abstract
In this paper, we introduce the centroid and generalized centroid of a type-2 fuzzy set (both of which are essential for implementing a type-2 fuzzy logic system), and explain how to compute them. For practical use, we show how to compute the centroid of interval and Gaussian type-2 fuzzy sets. An exact computation procedure is provided for an interval type-2 set, whereas an approximation is provided for both interval and Gaussian type-2 sets. Examples are given that compare the exact computational results with the approximate results.
Keywords
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