期刊
IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 19, 期 3, 页码 401-422出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2010.2103076
关键词
Centroid; centroid-flow(CF) algorithm; enhanced Karnik-Mendel (EKM) algorithms; general type-2 fuzzy set (T2 FS); Karnik-Mendel (KM) algorithms
Previous studies have shown that the centroid of a general type-2 fuzzy set (T2 FS) (A) over tilde can be obtained by taking the union of the centroids of all the alpha-planes (each raised to level alpha) of (A) over tilde. Karnik-Mendel (KM) or the enhanced KM (EKM) algorithms are used to compute the centroid of each alpha-plane. The iterative features in KM/EKM algorithms can be time-consuming, especially when the algorithms have to be repeated for many alpha-planes. This paper proposes a newmethod named centroid-flow (CF) algorithm to compute the centroid of (A) over tilde without having to apply KM/EKM algorithms for every alpha-plane. Extensive simulations have shown that the CF algorithm can reduce the computation time by 75%-80% and 50%-75%, compared with KM and EKM algorithms, respectively, and still maintains satisfactory computation accuracy for various T2 FSs when the primary variable x and alpha-plane are discretized finely enough.
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