Centroid of a type-2 fuzzy set

被引：896
|
作者：
Karnik, NN [1 ]
Mendel, JM [1 ]
机构：
[1] Univ So Calif, Inst Signal & Image Proc, Dept Elect Engn Syst, Los Angeles, CA 90089 USA
来源：
INFORMATION SCIENCES | 2001年 / 132卷 / 1-4期
基金：
美国国家科学基金会;
关键词：
type-2 fuzzy sets; centroid; interval type-2 sets; Gaussian type-2 sets;
D O I：
10.1016/S0020-0255(01)00069-X
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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 logic system), and explain how to compute them. For practical use, we show how to compute the centroid of interval and Gaussian type-2 fuzzy sets. An exact computation procedure is provided for an interval type-2 set, whereas an approximation is provided for both interval and Gaussian type-2 sets. Examples are given that compare the exact computational results with the approximate results. (C) 2001 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：195 / 220
页数：26
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