H. Roubos et M. Setnes, Compact and transparent fuzzy models and classifiers through iterative complexity reduction, IEEE FUZ SY, 9(4), 2001, pp. 516-524
In our previous work we showed that genetic algorithms (GAS) provide a powe
rful tool to increase the accuracy of fuzzy models for both systems modelin
g and classification. In addition to these results, we explore the GA to En
d redundancy in the fuzzy model for the purpose of model reduction. An aggr
egated similarity measure is applied to search for redundancy in the rule b
ase description. As a result, we propose an iterative fuzzy identification
technique starting with data-based fuzzy clustering with an overestimated n
umber of local models. The GA is then applied to find redundancy among the
local models with a criterion based on maximal accuracy and maximal set sim
ilarity. After the reduction steps, the GA is applied with another criterio
n searching for minimal set similarity and maximal accuracy. This results i
n an automatic identification scheme with fuzzy clustering, rule base simpl
ification and constrained genetic optimization with low-human intervention.
The proposed modeling approach is then demonstrated for a system identific
ation and a classification problem. Results are compared to other approache
s in the literature. Attractive models with respect to compactness, transpa
rency and accuracy, are the result of this symbiosis.