High-order interval type-2 Takagi-Sugeno-Kang fuzzy logic system and its application in acoustic emission signal modeling in turning process

2012 ◽  
Vol 63 (9-12) ◽  
pp. 1057-1063 ◽  
Author(s):  
Qun Ren ◽  
Marek Balazinski ◽  
Luc Baron
Author(s):  
Tiechao Wang ◽  
◽  
Jianqiang Yi ◽  

Prior knowledge of convexity is encoded into a Single-Input Single-Output (SISO) unnormalized interval type-2 Takagi-Sugeno-Kang (TSK) Fuzzy Logic System (FLS) such that the system converges to a given convex target function. After giving sufficient conditions to guarantee convexity with respect to inputs, we show how to combine convexity with Unnormalized Interval Type-2 TSK FLSs (UIT2FLSs) to design convex fuzzy systems enabling derived systems to approach the target function. A simulation example demonstrates the usefulness of convexity and the advantages of UIT2FLSs in the presence of noise.


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