Type-reduction of the discretised interval type-2 fuzzy set

被引：26

作者：

Greenfield, Sarah ^{[1
]}

Chiclana, Francisco ^{[1
]}

John, Robert ^{[1
]}

机构：

[1] De Montfort Univ, Ctr Computat Intelligence, Leicester LE1 9BH, Leics, England

来源：

2009 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3 | 2009年

关键词：

D O I：

10.1109/FUZZY.2009.5277411

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We begin by surveying the available strategies for type-reducing a discretised type-2 fuzzy set to a type-1 fuzzy set, namely the exhaustive method, the Karnik-Mendel Iterative Procedure, the sampling method, the Greenfield-Chiclana Collapsing Defuzzifier and the Nie-Tan method. We go on to investigate mathematically what happens to the Representative Embedded Set Approximation as the domain discretisation becomes finer. This leads into a discussion of the relationship between the collapsing and Nie-Tan methods. An experimental comparison is made between the collapsing and Nie-Tan methods, with respect to both efficiency and accuracy.

引用

页码：738 / 743

页数：6

共 14 条

[1]

[Anonymous], 2008, P IPMU 2008

[2]

GIBSON EC, 1988, FACTS FILE DICT MATH

[3]

GREENFIELD S, 2009, IFSA EUSFLA IN PRESS

[4]

Greenfield S., 2005, Proc. UK Workshop on Computational Intelligence (UKCI), P120

[5] The collapsing method of defuzzification for discretised interval type-2 fuzzy sets [J].

Greenfield, Sarah ;

Chiclana, Francisco ;

Coupland, Simon ;

John, Robert .

INFORMATION SCIENCES, 2009, 179 (13) :2055-2069

[6] A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots [J].

Hagras, HA .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2004, 12 (04) :524-539

[7]

JOHN RI, 2001, P EUROFUSE 2001 WORK, P241

[8] Centroid of a type-2 fuzzy set [J].

Karnik, NN ;

Mendel, JM .

INFORMATION SCIENCES, 2001, 132 (1-4) :195-220

[9]

Klir G, 1995, FUZZY SETS FUZZY LOG, V4

[10]

KLIR G.J., 1992, Fuzzy Sets, Uncertainty, and Information

← 1 2 →