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Journal ArticleDOI

Identification of functional fuzzy models using multidimensional reference fuzzy sets

Andreas Kroll
- 10 Jun 1996 - 
- Vol. 80, Iss: 2, pp 149-158
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TLDR
A new description of functional fuzzy models by fuzzy rules with premises evaluating point affinities is presented and an algorithm to identify such systems using cluster algorithms is proposed.
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This article is published in Fuzzy Sets and Systems.The article was published on 1996-06-10. It has received 85 citations till now. The article focuses on the topics: Fuzzy set operations & Defuzzification.

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Citations
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Journal ArticleDOI

About the use of fuzzy clustering techniques for fuzzy model identification

TL;DR: This work presents an alternative approach to generate fuzzy rules with a functional consequent associated to the TSK fuzzy model using fuzzy clustering algorithms that look for linear behaviours in the product space of the input-output data.
Journal ArticleDOI

Alternating cluster estimation: a new tool for clustering and function approximation

TL;DR: Out of a large variety of possible instances of non-AO models, an algorithm with a dynamically changing prototype function that extracts representative data and a computationally efficient algorithm with hyperconic membership functions that allows easy extraction of membership functions are presented.
Journal ArticleDOI

T–S Fuzzy Model Identification With a Gravitational Search-Based Hyperplane Clustering Algorithm

TL;DR: Comparative experiments are designed to verify the validity of the proposed clustering algorithm and the T-S fuzzy model identification method, and the results show that the new method is effective in describing a complicated nonlinear system with significantly high accuracies compared with approaches in the literature.
Journal ArticleDOI

A hierarchical fuzzy-clustering approach to fuzzy modeling

TL;DR: The proposed method for fuzzy modeling based on a hierarchical fuzzy-clustering scheme is successfully applied to three test examples, where the produced fuzzy models prove to be very accurate, as well as compact in size.
Journal ArticleDOI

Robust TSK fuzzy modeling for function approximation with outliers

TL;DR: A clustering algorithm termed as robust fuzzy regression agglomeration (RFRA) is proposed to define fuzzy subspaces in a fuzzy regression manner with robust capability against outliers and shows superior performance over other approaches.
References
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Journal ArticleDOI

Fuzzy identification of systems and its applications to modeling and control

TL;DR: A mathematical tool to build a fuzzy model of a system where fuzzy implications and reasoning are used is presented and two applications of the method to industrial processes are discussed: a water cleaning process and a converter in a steel-making process.
Book

Pattern Recognition with Fuzzy Objective Function Algorithms

TL;DR: Books, as a source that may involve the facts, opinion, literature, religion, and many others are the great friends to join with, becomes what you need to get.
Journal ArticleDOI

Outline of a New Approach to the Analysis of Complex Systems and Decision Processes

TL;DR: By relying on the use of linguistic variables and fuzzy algorithms, the approach provides an approximate and yet effective means of describing the behavior of systems which are too complex or too ill-defined to admit of precise mathematical analysis.
Journal ArticleDOI

Structure identification of fuzzy model

TL;DR: The problems of structure identification of a fuzzy model are formulated and an algorithm for identifying a structure is suggested and a successive identification algorithm of the parameters is suggested.
Journal ArticleDOI

A fuzzy-logic-based approach to qualitative modeling

TL;DR: A general approach to quali- tative modeling based on fuzzy logic is discussed, which proposes to use a fuzzy clustering method (fuzzy c-means method) to identify the structure of a fuzzy model.