Generalized hybrid fuzzy system based on consequent direct link type hierarchy and its integral norm approximation

被引：0
|
作者：
School of Mathematics Sciences, Tianjin Normal University, Tianjin [1 ]
300387, China
不详 [2 ]
100190, China
机构：
[1] School of Mathematics Sciences, Tianjin Normal University, Tianjin
[2] Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing
来源：
Kongzhi yu Juece Control Decis | / 10卷 / 1742-1750期
关键词：
Approximation; Consequent direct link type hierarchy; Generalized hybrid fuzzy system; K-integral norm; Piecewise linear function;
D O I：
10.13195/j.kzyjc.2014.1071
中图分类号：
学科分类号：
摘要：
The methods of the consequent direct link type hierarchy and its inference rules are introduced, so that implement hierarchy for some input variables of the generalized hybrid fuzzy system. Consequently, the input and output expressions of the generalized hybrid fuzzy systems after hierarchy and the calculation formula of the total number of fuzzy rules are obtained. Then, based on the K-integral norm(a metric) and a piecewise linear function, it is proved that the generalized hybrid fuzzy system after hierarchy has the approximation to a class of integrable functions. Finally, the approximation process of the consequent direct link type hierarchy generalized hybrid fuzzy systems to the integrable functions are given by an example. The results show that the hierarchical method can not only make the total number of fuzzy rules of the original system greatly reduced, but also make the system after hierarchy has keep the approximation. ©, 2015, Northeast University. All right reserved.
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页码：1742 / 1750
页数：8
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