Toward General Type-2 Fuzzy Logic Systems Based on Shadowed Sets

被引：12

作者：

Gonzalez, Claudia I. ^{[1
]}

Melin, Patricia ^{[1
]}

Castillo, Oscar ^{[1
]}

Juarez, Daniela ^{[2
]}

Castro, Juan R. ^{[2
]}

机构：

[1] Tijuana Inst Technol, Div Grad Studies, Tijuana, Mexico

[2] Autonomous Univ Baja California, Tijuana, Mexico

来源：

ADVANCES IN FUZZY LOGIC AND TECHNOLOGY 2017, VOL 2 | 2018年 / 642卷

关键词：

General type-2 fuzzy sets; Shadowed sets; Interval type-2 fuzzy sets; Shadowed type-2 fuzzy sets; ALPHA-PLANE REPRESENTATION;

D O I：

10.1007/978-3-319-66824-6_12

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper presents a novel methodology to obtain the shadowed set for all the secondary membership functions embedded in a general type-2 membership function. In this paper we present an approach to obtain the shadowed set for a Triangular and a Gaussian membership function. The idea is to model and perform a general type-2 fuzzy system based on shadowed type-2 fuzzy sets. The results are compared against the performance when a general type fuzzy inference system is approximate using on a-planes.

引用

页码：131 / 142

页数：12

共 21 条

[11] Type-2 fuzzy sets made simple [J].

Mendel, JM ;

John, RI .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2002, 10 (02) :117-127

[12] Shadowed c-means: Integrating fuzzy and rough clustering [J].

Mitra, Sushmita ;

Pedrycz, Witold ;

Barman, Bishal .

PATTERN RECOGNITION, 2010, 43 (04) :1282-1291

[13]

Pedrycz W, 1999, INT J INTELL SYST, V14, P419, DOI 10.1002/(SICI)1098-111X(199904)14:4<419::AID-INT5>3.0.CO

[14]

2-5

[15] Shadowed sets: Representing and processing fuzzy sets [J].

Pedrycz, W .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 1998, 28 (01) :103-109

[16] Granular fuzzy models: A study in knowledge management in fuzzy modeling [J].

Pedrycz, Witold ;

Song, Mingli .

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2012, 53 (07) :1061-1079

[17] From Fuzzy Sets to Shadowed Sets: Interpretation and Computing [J].

Pedrycz, Witold .

INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2009, 24 (01) :48-61

[18] Generalized Type-2 Fuzzy Systems for controlling a mobile robot and a performance comparison with Interval Type-2 and Type-1 Fuzzy Systems [J].

Sanchez, Mauricio A. ;

Castillo, Oscar ;

Castro, Juan R. .

EXPERT SYSTEMS WITH APPLICATIONS, 2015, 42 (14) :5904-5914

[19]

Wagner C., 2011, Proceedings 2011 IEEE Symposium on Advances in Type-2 Fuzzy Logic Systems (T2FUZZ), P50, DOI 10.1109/T2FUZZ.2011.5949566

[20] Toward General Type-2 Fuzzy Logic Systems Based on zSlices [J].

Wagner, Christian ;

Hagras, Hani .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2010, 18 (04) :637-660

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