Spatial analysis with a tool GIS via systems of fuzzy relation equations

Authors:
Ferdinando Di Martino;Salvatore Sessa
Affiliations:
Università degli Studi di Napoli Federico II, Dipartimento di Costruzioni e Metodi Matematici in Architettura, Napoli, Italy;Università degli Studi di Napoli Federico II, Dipartimento di Costruzioni e Metodi Matematici in Architettura, Napoli, Italy
Venue:
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part II
Year:
2011

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Abstract

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 tool GIS and the geographical area under study is divided in homogeneous subzones 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 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.