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Title: Computing centroid of general type-2 fuzzy set using constrained switching algorithm
Authors: Torshizi, A. Doostparast
Zarandi, Mohammad Hossein Fazel
Türkşen, İsmail Burhan
Keywords: General type-2 fuzzy sets
Constrained Switching (CS) algorithm
Type-reduction alpha-plane representation
Enhanced Karnik-Mendel (KM) algorithms
Issue Date: 2015
Publisher: Sharif Univ Technology
Abstract: Centroid of general type-2 fuzzy set can be used as a measure of uncertainty in highly uncertain environments. Computing centroid of general type-2 fuzzy set has received an increasing research attention during recent years. Although computation complexity of such sets is higher than that of interval type-2 fuzzy sets, with the advent of new representation techniques, e.g. alpha-planes and z-Slices, computation efforts needed to deal with general type-2 fuzzy sets have decremented. A very first method to calculate the centroid of a general type-2 fuzzy set was to use Karnik-Mendel algorithm on each alpha-plane, independently. Because of the iterative nature of this method, running time in this approach is rather high. To tackle such a drawback, several emerging algorithms such as Sampling method, Centroid-Flow algorithm, and, recently, Monotone Centroid-Flow algorithm have been proposed. The aim of this paper is to present a new method to calculate centroid intervals of each alpha-plane, independently, while reducing convergence time compared with other algorithms like iterative use of Karnik-Mendel algorithm on each alpha-plane. The proposed approach is based on estimating an initial switch point for each alpha-plane. Exhaustive computations demonstrate that the proposed method is considerably faster than independent implementation of existing iterative methods on each alpha-plane. (C) 2015 Sharif University of Technology. All rights reserved.
ISSN: 1026-3098
Appears in Collections:Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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