| On the Monotonicity of Interval Type-2 Fuzzy Logic Systems | |
Li, Chengdong1; Yi, Jianqiang2,3,4 ; Zhang, Guiqing1
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| 发表期刊 | IEEE TRANSACTIONS ON FUZZY SYSTEMS
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| 2014-10-01 | |
| 卷号 | 22期号:5页码:1197-1212 |
| 文章类型 | Article |
| 摘要 | Qualitative 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. |
| 关键词 | Data-driven Method Fuzzy Logic System Modeling And Control Monotonicity Type-2 Fuzzy Type-reduction And Defuzzification Method |
| WOS标题词 | Science & Technology ; Technology |
| 关键词[WOS] | MAMDANI-ASSILIAN MODELS ; MEMBERSHIP FUNCTIONS ; INFERENCE SYSTEMS ; PD CONTROLLERS ; SETS ; DESIGN ; DEFUZZIFICATION ; OPTIMIZATION ; GENERATION ; ALGORITHM |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS研究方向 | Computer Science ; Engineering |
| WOS类目 | Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic |
| WOS记录号 | WOS:000344751200012 |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.ia.ac.cn/handle/173211/8029 |
| 专题 | 综合信息系统研究中心 |
| 通讯作者 | Li, Chengdong |
| 作者单位 | 1.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 |
| 推荐引用方式 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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| 2014 TFS - On the Mo（1881KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | 浏览 下载 | |
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