Reconstruction of the Matrix of Causal Dependencies for the Fuzzy Inductive Reasoning Method

Fuzzy Inductive Reasoning (FIR) methodology is a very powerful tool for creating a mixed qualitative-quantitative model of any dynamical system by using its input and output signals. One of the key issue of this methodology is the creation of the mask, i.e. a matrix that contains the causal dependen...

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Bibliographic Details
Published inApplications of Fuzzy Sets Theory Vol. 4578; pp. 53 - 60
Main Authors Sangiovanni, Guido, Lavagna, Michèle
Format Book Chapter
LanguageEnglish
Published Germany Springer Berlin / Heidelberg 2007
Springer Berlin Heidelberg
SeriesLecture Notes in Computer Science
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Summary:Fuzzy Inductive Reasoning (FIR) methodology is a very powerful tool for creating a mixed qualitative-quantitative model of any dynamical system by using its input and output signals. One of the key issue of this methodology is the creation of the mask, i.e. a matrix that contains the causal dependencies among the signals of the systems for particular time steps. This paper describes the ARMS – Automatic Reconstruction of the Mask Scheme – methodology that gives the opportunity of creating a sub-optimal mask with very good performances without an exhaustive search in the space of all the possibilities. This methodology has been validated on a wide class of dynamical system (from LTI systems to chaotic time series) and it has been compared to other methods proposed in literature.
ISBN:9783540733997
354073399X
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-540-73400-0_7