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Fuzzy set approach to assessing similarity of categorical maps 

Author: Alex Hagen a
Affiliation:   a Research Institute for Knowledge Systems, P.O. Box 463, 6200 AL Maastricht, The Netherlands; e-mail: ahagen@riks.nl.
DOI: 10.1080/13658810210157822
Publication Frequency: 12 issues per year
Published in: journal International Journal of Geographical Information Science, Volume 17, Issue 3 April 2003 , pages 235 - 249
Number of References: 19
Formats available: PDF (English)
Previously published as: International journal of geographical information systems (0269-3798, 1362-3087) until 1996
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Abstract

For the evaluation of results from remote sensing and high-resolution spatial models it is often necessary to assess the similarity of sets of maps. This paper describes a method to compare raster maps of categorical data. The method applies fuzzy set theory and involves both fuzziness of location and fuzziness of category. The fuzzy comparison yields a map, which specifies for each cell the degree of similarity on a scale of 0 to 1. Besides this spatial assessment of similarity also an overall value for similarity is derived. This statistic corrects the cell-average similarity value for the expected similarity. It can be considered the fuzzy equivalent of the Kappa statistic and is therefore called K Fuzzy . A hypothetical case demonstrates how the comparison method distinguishes minor changes and fluctuations within patterns from major changes. Finally, a practical case illustrates how the method can be useful in a validation process.
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