Centroid of a type-2 fuzzy set

被引：906

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

页码：195 / 220

页数：26

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