Spatial Analysis and Fuzzy Relation Equations

We implement an algorithm that uses a system of fuzzy relation equations (SFRE) with the max-min composition for solving a problem of spatial analysis. We integrate this algorithm in a Geographical Information System (GIS) tool, and the geographical area under study is divided in homogeneous subzone...

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Main Authors: Ferdinando Di Martino, Salvatore Sessa
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2011/429498
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author Ferdinando Di Martino
Salvatore Sessa
author_facet Ferdinando Di Martino
Salvatore Sessa
author_sort Ferdinando Di Martino
collection DOAJ
description We implement an algorithm that uses a system of fuzzy relation equations (SFRE) with the max-min composition for solving a problem of spatial analysis. We integrate this algorithm in a Geographical Information System (GIS) tool, and the geographical area under study is divided in homogeneous subzones (with respect to the parameters involved) to which we apply our process to determine the symptoms after that an expert sets the SFRE with the values of the impact coefficients. We find that the best solutions and the related results are associated to each subzone. Among others, we define an index to evaluate the reliability of the results.
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spelling doaj-art-8a646db30ea44bdf87e95400ce4510a92025-02-03T01:06:57ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2011-01-01201110.1155/2011/429498429498Spatial Analysis and Fuzzy Relation EquationsFerdinando Di Martino0Salvatore Sessa1Dipartimento di Costruzioni e Metodi Matematici in Architettura, Università degli Studi di Napoli Federico II, Via Monteoliveto 3, 80134 Napoli, ItalyDipartimento di Costruzioni e Metodi Matematici in Architettura, Università degli Studi di Napoli Federico II, Via Monteoliveto 3, 80134 Napoli, ItalyWe implement an algorithm that uses a system of fuzzy relation equations (SFRE) with the max-min composition for solving a problem of spatial analysis. We integrate this algorithm in a Geographical Information System (GIS) tool, and the geographical area under study is divided in homogeneous subzones (with respect to the parameters involved) to which we apply our process to determine the symptoms after that an expert sets the SFRE with the values of the impact coefficients. We find that the best solutions and the related results are associated to each subzone. Among others, we define an index to evaluate the reliability of the results.http://dx.doi.org/10.1155/2011/429498
spellingShingle Ferdinando Di Martino
Salvatore Sessa
Spatial Analysis and Fuzzy Relation Equations
Advances in Fuzzy Systems
title Spatial Analysis and Fuzzy Relation Equations
title_full Spatial Analysis and Fuzzy Relation Equations
title_fullStr Spatial Analysis and Fuzzy Relation Equations
title_full_unstemmed Spatial Analysis and Fuzzy Relation Equations
title_short Spatial Analysis and Fuzzy Relation Equations
title_sort spatial analysis and fuzzy relation equations
url http://dx.doi.org/10.1155/2011/429498
work_keys_str_mv AT ferdinandodimartino spatialanalysisandfuzzyrelationequations
AT salvatoresessa spatialanalysisandfuzzyrelationequations