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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Format: | Article |
Language: | English |
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Wiley
2011-01-01
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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. |
format | Article |
id | doaj-art-8a646db30ea44bdf87e95400ce4510a9 |
institution | Kabale University |
issn | 1687-7101 1687-711X |
language | English |
publishDate | 2011-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Fuzzy Systems |
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 |