| Summary: | 碩士 === 國立臺灣大學 === 電機工程學系 === 86 === Abstract
This thesis gives a survey about the current
development in fuzzy approximations. The most
important distinction between the classical
approximations and fuzzy approximations is
that the fuzzy approximations are one kind
of model-free approximation theory. The form,
structure or formula of approximated functions
is not needed to be known and to be used in the
approximation. All the information used in
approximation is the input-output pairs of
the functions to be approximated. Beside this,
there is one unique feature belonging to fuzzy
approximations. That is the ability of
incorporation of not only numerical information
but also linguistic information about the
approximated functions. This ability makes the
fuzzy approximations can use non-numerical
information to help and accelerate the
approximation. In this thesis, the main focus
is devoted to the survey of universal fuzzy
approximation sets developed. It gives a clear
list of this kind of approximation sets and
their reference papers for the sake of in-depth
study. The other focus is the rule extraction
methods developed recently. General nonlinear
black-box modeling techniques are mentioned.
Various approximation properties of fuzzy systems
are also collected and well documented in this thesis.
As a result of the survey, a clear picture of the recent
state of fuzzy approximations will be obtained.
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