A generalized concept for fuzzy rule interpolation

被引:158
|
作者
Baranyi, P [1 ]
Kóczy, LT
Gedeon, TD
机构
[1] Hungarian Acad Sci, Comp & Automat Res Inst, H-1117 Budapest, Hungary
[2] Budapest Univ Technol & Econ, Dept Telecommun & Media Informat, H-1117 Budapest, Hungary
[3] Integrated Engn Syst Japanese Hungarian Lab, H-1117 Budapest, Hungary
[4] Australian Natl Univ, Dept Comp Sci, Acton, ACT 0200, Australia
基金
匈牙利科学研究基金会; 澳大利亚研究理事会;
关键词
fuzzy rule interpolation; sparse fuzzy rule-base;
D O I
10.1109/TFUZZ.2004.836085
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The concept of fuzzy rule interpolation in sparse rule bases was introduced in 1993. It has become a widely researched topic in recent years because of its unique merits in the topic of fuzzy rule base complexity reduction. The first implemented technique of fuzzy rule interpolation was termed as a-cut distance based fuzzy rule base interpolation. Despite its advantageous properties in various approximation aspects and in complexity reduction, it was shown that it has some essential deficiencies, for instance, it does not always result in immediately interpretable fuzzy membership functions. This fact inspired researchers to develop various kinds of fuzzy rule interpolation techniques in order to alleviate these deficiencies. This paper is an attempt into this direction. It proposes gin interpolation methodology, whose key idea is based on the interpolation of relations instead of interpolating alpha-cut distances, and which offers a way to derive a family of interpolation methods' capable of eliminating some typical deficiencies of fuzzy, rule interpolation techniques. The proposed concept of interpolating relations is elaborated here using fuzzy and semantic-relations. This paper presents numerical examples, in comparison with former approaches, to show the effectiveness of the proposed interpolation methodology.
引用
收藏
页码:820 / 837
页数:18
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