Study on non-iterative algorithms for center-of-sets type-reduction of Takagi-Sugeno-Kang type general type-2 fuzzy logic systems

被引:1
|
作者
Chen, Yang [1 ]
机构
[1] Liaoning Univ Technol, Coll Sci, Jinzhou 121001, Peoples R China
基金
中国国家自然科学基金;
关键词
General type-2 fuzzy logic systems; Computational efficiency; Center-of-sets type-reduction; Alpha-planes; Non-iterative algorithms; CENTROID TYPE-REDUCTION; EDGE-DETECTION METHOD; INTERVAL TYPE-2; UNCERTAINTY MEASURES; OPTIMIZATION; DESIGN; SPEED; ROBOT;
D O I
10.1007/s40747-022-00927-y
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The paper performs the center-of-sets (COS) type-reduction (TR) and de-fuzzification for Takagi-Sugeno-Kang (TSK) type general type-2 fuzzy logic systems (GT2 FLSs) on the basis of the alpha-planes expression of general type-2 fuzzy sets. Actually, comparing the popular Karnik-Mendel (KM) algorithms with other non-iterative algorithms is an important question in T2 society. Here the modules of fuzzy inference, COS TR, and de-fuzzification for TSK type GT2 FLSs are discussed by means of non-iterative Nagar-Bardini (NB) algorithms, Nie-Tan (NT) algorithms, and Begian-Melek-Mendel (BMM) algorithms. Simulation instances are constructed to illustrate the performances of three types of non-iterative algorithms compared with the KM algorithms. It is proved that, the proposed non-iterative algorithms can enhance the computational efficiencies significantly, which afford the potential application value for designers of GT2 FLSs.
引用
收藏
页码:4015 / 4023
页数:9
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