Centroid of a type-2 fuzzy set

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 l ogic system), and explain how to compute them. For practical use, we show h ow to compute the centroid of interval and Gaussian type-2 fuzzy sets. An e xact computation procedure is provided for an interval type-2 set, whereas an approximation is provided for both interval and Gaussian type-2 sets. Ex amples are given that compare the exact computational results with the appr oximate results. (C) 2001 Elsevier Science Inc. All rights reserved.