Closed Form Solutions for the Type Reduction of General Type-2 Fuzzy Sets with Piecewise Linear Membership Functions

被引：0

作者：

Liu, Xinwang ^{[1
]}

Du, Wei ^{[1
]}

机构：

[1] Southeast Univ, Sch Econ & Management, Nanjing 210096, Jiangsu, Peoples R China

来源：

2016 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE) | 2016年

基金：

美国国家科学基金会;

关键词：

General type-2 fuzzy sets; type reduction; Karnik-Mendel (KM) algorithms; KARNIK-MENDEL ALGORITHMS;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, a closed form type reduction method for piecewise linear interval type-2 fuzzy sets and root finding methods are applied in centroid type-reduction for piecewise linear general type-2 fuzzy sets. When the lower and upper bounds of FOUs of the general type-2 fuzzy sets are provided, the centroid computation methods in this paper is accurate and computational efficient, and is represented by a closed-form formula, which provide a way to perform theoretical analysis for the general type-2 fuzzy sets.

引用

页码：1232 / 1239

页数：8

共 25 条

[1]

[Anonymous], 2017, Uncertain Rule-Based Fuzzy Systems: Introduction and New Directions

[2]

[Anonymous], 2003, P 2003 EUR S INT TEC

[3]

[Anonymous], 2010, PERCEPTUAL COMPUTING

[4]

Castillo O, 2008, STUD FUZZ SOFT COMP, V223, P1

[5] Type-2 fuzzy sets: Geometric defuzzification and type-reduction [J].

Coupland, Simon .

2007 IEEE SYMPOSIUM ON FOUNDATIONS OF COMPUTATIONAL INTELLIGENCE, VOLS 1 AND 2, 2007, :622-629

[6] A Fast Geometric Method for Defuzzification of Type-2 Fuzzy Sets [J].

Coupland, Simon ;

John, Robert I. .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2008, 16 (04) :929-941

[7] DECISION-MAKING IN SIGNAL TRANSMISSION PROBLEMS WITH INTERVAL-VALUED FUZZY-SETS [J].

DZIECH, A ;

GORZALCZANY, MB .

FUZZY SETS AND SYSTEMS, 1987, 23 (02) :191-203

[8] INTERVAL-VALUED FUZZY CONTROLLER BASED ON VERBAL MODEL OF OBJECT [J].

GORZALCZANY, MB .

FUZZY SETS AND SYSTEMS, 1988, 28 (01) :45-53

[9] Type-2 FLCs: A new generation of fuzzy controllers [J].

Hagras, Hani .

IEEE COMPUTATIONAL INTELLIGENCE MAGAZINE, 2007, 2 (01) :30-43

[10] Advantages of the Enhanced Opposite Direction Searching Algorithm for Computing the Centroid of An Interval Type-2 Fuzzy Set [J].

Hu, Huaizhong ;

Wang, Yong ;

Cai, Yuanli .

ASIAN JOURNAL OF CONTROL, 2012, 14 (05) :1422-1430

← 1 2 3 →