Journal
INFORMATION SCIENCES
Volume 280, Issue -, Pages 289-306Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2014.05.004
Keywords
Centroid; Type-2 fuzzy set; General type-reduction; Triangular; Gaussian
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In this paper, we present exact computation procedures for the centroid of type-2 fuzzy sets with either triangular or Gaussian secondary membership functions. We assume the standard formulation of the centroid based on the sup-min extension principle. The centroid of a triangular type-2 fuzzy set can be considered as a subsequent analytical extension of the KM type-reduction procedure dedicated to interval type-2 sets. The centroid of a Gaussian type-2 fuzzy set is recursively expressed by an independent procedure. (C) 2014 Elsevier Inc. All rights reserved.
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