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Genetic fuzzy systems : ウィキペディア英語版
Genetic fuzzy systems

Genetic fuzzy systems are fuzzy systems constructed by using genetic algorithms or genetic programming, which mimic the process of natural evolution, to identify its structure and parameter.
When it comes to automatically identifying and building a fuzzy system, given the high degree of nonlinearity of the output, traditional linear optimization tools have several limitations. Therefore, in the framework of soft computing, genetic algorithms (GAs) and genetic programming (GP) methods have been used successfully to identify structure and parameters of fuzzy systems.
==Fuzzy systems==
Fuzzy systems are fundamental methodologies to represent and process linguistic information, with mechanisms to deal with uncertainty and imprecision. For instance, the task of modeling a driver parking a car involves greater difficulty in writing down a concise mathematical model as the description becomes more detailed. However, the level of difficulty is not so much using simple linguistic rules, which are themselves fuzzy. With such remarkable attributes, fuzzy systems have been widely and successfully applied to control, classification and modeling problems (Mamdani, 1974) (Klir and Yuan, 1995) (Pedrycz and Gomide, 1998).
Although simplistic in its design, the identication of a fuzzy system is a rather complex task that comprises the identication
of (a) the input and output variables, (b) the rule base (knowledge base), (c) the membership functions and (d) the mapping parameters.
Usually the rule base consists of several IF-THEN rules, linking input(s) and output(s).
A simple rule of a fuzzy controller could be:
IF (TEMPERATURE = HOT) THEN (COOLING = HIGH)
The numerical impact/meaning of this rule depends on how the membership functions of HOT and HIGH are shaped and defined.
The construction and identification of a fuzzy system can be divided into (a) the structure and (b) the parameter identification of a fuzzy system.
The structure of a fuzzy system is expressed by the input and output variables and the rule base, while the parameters of a fuzzy system are the rule parameters (defining the membership functions, the aggregation operator and the implication function) and the mapping parameters related to the mapping of a crisp set to a fuzzy set, and vice versa. (Bastian, 2000).
Much work has been done to develop or adapt methodologies that are capable of automatically identifying a fuzzy system from numerical data. Particularly in the framework of soft computing, significant methodologies have been proposed with the objective of building fuzzy systems by means of genetic algorithms (GAs) or genetic programming (GP).

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