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On the Monotonicity of Interval Type-2 Fuzzy Logic Systems
Li, Chengdong1; Yi, Jianqiang2,3,4; Zhang, Guiqing1
Source PublicationIEEE TRANSACTIONS ON FUZZY SYSTEMS
2014-10-01
Volume22Issue:5Pages:1197-1212
SubtypeArticle
AbstractQualitative knowledge is very useful for system modeling and control problems, especially when specific physical structure knowledge is unavailable and the number of training data points is small. This paper studies the incorporation of one common qualitative knowledge-monotonicity into interval type-2 (IT2) fuzzy logic systems (FLSs). Sufficient conditions on the antecedent and consequent parts of fuzzy rules are derived to guarantee the monotonicity between inputs and outputs. We take into account five type-reduction and defuzzification methods (the Karnik-Mendel method, the Du-Ying method, the Begian-Melek-Mendel method, the Wu-Tan method, and the Nie-Tan method). We show that IT2 FLSs are monotonic if the antecedent and consequents parts of their fuzzy rules are arranged according to the proposed monotonicity conditions. The derived monotonicity conditions are valid for the IT2 FLSs using any kind of IT2 fuzzy sets (FSs) (e.g., Trapezoidal IT2 FSs and Gaussian IT2 FSs) and stand for type-1 FLSs as well. Guidelines for applying the proposed conditions to modeling and control problems are also given. Our results will be useful in the design of monotonic IT2 FLSs for engineering applications when the monotonicity property is desired.
KeywordData-driven Method Fuzzy Logic System Modeling And Control Monotonicity Type-2 Fuzzy Type-reduction And Defuzzification Method
WOS HeadingsScience & Technology ; Technology
WOS KeywordMAMDANI-ASSILIAN MODELS ; MEMBERSHIP FUNCTIONS ; INFERENCE SYSTEMS ; PD CONTROLLERS ; SETS ; DESIGN ; DEFUZZIFICATION ; OPTIMIZATION ; GENERATION ; ALGORITHM
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS IDWOS:000344751200012
Citation statistics
Cited Times:42[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/8029
Collection综合信息系统研究中心
Corresponding AuthorLi, Chengdong
Affiliation1.Shandong Jianzhu Univ, Sch Informat & Elect Engn, Jinan 250101, Peoples R China
2.Chinese Acad Sci, Inst Automat, Beijing 100190, Peoples R China
3.Comp Software Dev Co, Tokyo, Japan
4.MYCOM Inc, Kyoto, Japan
Recommended Citation
GB/T 7714
Li, Chengdong,Yi, Jianqiang,Zhang, Guiqing. On the Monotonicity of Interval Type-2 Fuzzy Logic Systems[J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS,2014,22(5):1197-1212.
APA Li, Chengdong,Yi, Jianqiang,&Zhang, Guiqing.(2014).On the Monotonicity of Interval Type-2 Fuzzy Logic Systems.IEEE TRANSACTIONS ON FUZZY SYSTEMS,22(5),1197-1212.
MLA Li, Chengdong,et al."On the Monotonicity of Interval Type-2 Fuzzy Logic Systems".IEEE TRANSACTIONS ON FUZZY SYSTEMS 22.5(2014):1197-1212.
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