The Monotonicity and Convexity of Unnormalized Interval Type-2 TSK Fuzzy Logic Systems

被引：0
|
作者：
Wang, Tiechao [1 ]
Yi, Jianqiang [1 ]
Li, Chengdong [1 ]
机构：
[1] Chinese Acad Sci, Inst Automat, Beijing 100190, Peoples R China
来源：
2010 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2010) | 2010年
关键词：
D O I：
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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 applies prior knowledge - monotonicity and convexity - to a Single-Input-Single-Output (SISO) unnormalized interval type-2 Takagi-Sugeno-Kang (TSK) Fuzzy Logic System (FLS). Sufficient conditions are provided to guarantee its monotonicity and convexity with respect to its input, respectively. The derived monotonic conditions focus on a zeroth-order TSK fuzzy model. Also, the corresponding proofs for the convex conditions of both the zeroth-order and first-order TSK fuzzy models are given, respectively. For the zeroth-order fuzzy systems, simulation examples demonstrate the validity of the theorems.
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页数：7
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