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In this paper, we give two direct centroid computation methods for fuzzy numbers: One is to use the membership function and the other is to use the alpha-cuts. Compared with the current centroid computation methods, the new methods are simple both in expression and computation. Weighted samples computation method are also proposed to improve the computational accuracy with numerical integration technique...
This paper provides root finding methods for the centroid computation of interval type-2 fuzzy sets and general type-2 fuzzy sets with linear secondary membership function. When the FOUs of the type-2 fuzzy sets are provided, the centroid computation methods in this paper is accurate and computational efficient, which provide new methods for the type-2 fuzzy systems computation.
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