Learning fuzzy systems. An objective function-approach.

Frank Höppner; Frank Klawonn

Mathware and Soft Computing (2004)

  • Volume: 11, Issue: 2-3, page 143-162
  • ISSN: 1134-5632

Abstract

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One of the most important aspects of fuzzy systems is that they are easily understandable and interpretable. This property, however, does not come for free but poses some essential constraints on the parameters of a fuzzy system (like the linguistic terms), which are sometimes overlooked when learning fuzzy system autornatically from data. In this paper, an objective function-based approach to learn fuzzy systems is developed, taking these constraints explicitly into account. Starting from fuzzy c-means clustering, several modifications of the basic algorithm are proposed, affecting the shape of the membership functions, the partition of individual variables and the coupling of input space partitioning and local function approximation.

How to cite

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Höppner, Frank, and Klawonn, Frank. "Learning fuzzy systems. An objective function-approach.." Mathware and Soft Computing 11.2-3 (2004): 143-162. <http://eudml.org/doc/39268>.

@article{Höppner2004,
abstract = {One of the most important aspects of fuzzy systems is that they are easily understandable and interpretable. This property, however, does not come for free but poses some essential constraints on the parameters of a fuzzy system (like the linguistic terms), which are sometimes overlooked when learning fuzzy system autornatically from data. In this paper, an objective function-based approach to learn fuzzy systems is developed, taking these constraints explicitly into account. Starting from fuzzy c-means clustering, several modifications of the basic algorithm are proposed, affecting the shape of the membership functions, the partition of individual variables and the coupling of input space partitioning and local function approximation.},
author = {Höppner, Frank, Klawonn, Frank},
journal = {Mathware and Soft Computing},
keywords = {Análisis de datos; Análisis cluster; Regresión; Lógica difusa; fuzzy -means clustering},
language = {eng},
number = {2-3},
pages = {143-162},
title = {Learning fuzzy systems. An objective function-approach.},
url = {http://eudml.org/doc/39268},
volume = {11},
year = {2004},
}

TY - JOUR
AU - Höppner, Frank
AU - Klawonn, Frank
TI - Learning fuzzy systems. An objective function-approach.
JO - Mathware and Soft Computing
PY - 2004
VL - 11
IS - 2-3
SP - 143
EP - 162
AB - One of the most important aspects of fuzzy systems is that they are easily understandable and interpretable. This property, however, does not come for free but poses some essential constraints on the parameters of a fuzzy system (like the linguistic terms), which are sometimes overlooked when learning fuzzy system autornatically from data. In this paper, an objective function-based approach to learn fuzzy systems is developed, taking these constraints explicitly into account. Starting from fuzzy c-means clustering, several modifications of the basic algorithm are proposed, affecting the shape of the membership functions, the partition of individual variables and the coupling of input space partitioning and local function approximation.
LA - eng
KW - Análisis de datos; Análisis cluster; Regresión; Lógica difusa; fuzzy -means clustering
UR - http://eudml.org/doc/39268
ER -

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