Title :
Complexity reduction of rule based models: a survey
Author :
Kaynak, Okyay ; Jezernik, Karel ; Szeghegyi, Agnes
Author_Institution :
Dept. of Electr. Eng., Bogazici Univ., Istanbul, Turkey
fDate :
6/24/1905 12:00:00 AM
Abstract :
Gives a survey of fuzzy rule base reduction methods. The complexity reduction methods originate from two aspects depending on different design methodologies. The first model design type comes from the original idea of Zadeh, it proposes models which are built based on expert knowledge, hence the rule base is set up manually. These models feature linguistic, and hence semantically interpretable fuzzy terms, and rules with fuzzy sets as consequents. Secondly, data-driven fuzzy model design has become more popular. For fitting the model to the approximated function, these models, usually having rules with consequents which are linear function of the inputs, use tremendously large number of rules, and do not take into account the complexity and interpretability of the model. This feature also emerged in the issue of rule base reduction for such systems. The paper aims at summarizing the efforts in the complexity reduction field briefly
Keywords :
computational complexity; function approximation; fuzzy control; fuzzy set theory; fuzzy systems; inference mechanisms; interpolation; knowledge based systems; least squares approximations; reduced order systems; singular value decomposition; complexity reduction; consequents; continuous control function; data-driven fuzzy model design; expert knowledge; fuzzy rule base reduction methods; fuzzy sets; linguistic terms; model fitting; rule based models; semantically interpretable fuzzy terms; universal approximators; Bismuth; Design methodology; Equations; Function approximation; Fuzzy control; Fuzzy sets; Linear regression; Multidimensional systems; Takagi-Sugeno-Kang model; Vectors;
Conference_Titel :
Fuzzy Systems, 2002. FUZZ-IEEE'02. Proceedings of the 2002 IEEE International Conference on
Conference_Location :
Honolulu, HI
Print_ISBN :
0-7803-7280-8
DOI :
10.1109/FUZZ.2002.1006677