Fuzzy Networks for Complex Systems: A Modular Rule Base Approach

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This book introduces the novel concept of a fuzzy network whose nodes are rule bases and the connections between the nodes are the interactions between the rule bases in the form of outputs fed as inputs. The concept is presented as a systematic study for improving the feasibility and transparency of fuzzy models by means of modular rule bases whereby the model accuracy and efficiency can be optimised in a flexible way. The study uses an effective approach for fuzzy rule based modelling of complex systems that are characterised by attributes such as nonlinearity, uncertainty, dimensionality and structure.The approach is illustrated by formal models for fuzzy networks, basic and advanced operations on network nodes, properties of operations, feedforward and feedback fuzzy networks as well as evaluation of fuzzy networks. The results are demonstrated by numerous examples, two case studies and software programmes within the Matlab environment that implement some of the theoretical methods from the book. The book shows the novel concept of a fuzzy network with networked rule bases as a bridge between the existing concepts of a standard fuzzy system with a single rule base and a hierarchical fuzzy system with multiple rule bases.

Author(s): Alexander Gegov (auth.)
Series: Studies in Fuzziness and Soft Computing 259
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2011

Language: English
Pages: 290
Tags: Appl.Mathematics/Computational Methods of Engineering;Artificial Intelligence (incl. Robotics);Statistical Physics, Dynamical Systems and Complexity

Front Matter....Pages -
Introduction....Pages 1-3
Types of Fuzzy Systems....Pages 5-12
Formal Models for Fuzzy Networks....Pages 13-21
Basic Operations in Fuzzy Networks....Pages 23-50
Structural Properties of Basic Operations....Pages 51-108
Advanced Operations in Fuzzy Networks....Pages 109-160
Feedforward Fuzzy Networks....Pages 161-200
Feedback Fuzzy Networks....Pages 201-246
Evaluation of Fuzzy Networks....Pages 247-274
Conclusion....Pages 275-277
Back Matter....Pages -