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:
International Journal of Geographical Information Science,
Volume
17,
Issue
3
April
2003
, pages 235
- 249
Subjects:
Cartography;
Computer Science (General);
Earth Sciences;
Geographic Information Systems;
Location Based Services;
Navigation;
Systems & Computer Architecture of Databases;
Topography;
Transport Geography;
Number of References: 19
Formats available:
PDF
(English)
Previously published as:
International journal of geographical information systems
(0269-3798,
1362-3087)
until 1996
View Article:
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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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