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Further developments of a fuzzy set map comparison approach

Hagen-Zanker, A, Straatman, B and Uljee, I (2005) Further developments of a fuzzy set map comparison approach International Journal of Geographical Information Science, 19. pp. 769-785.

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Abstract

Fuzzy set map comparison offers a novel approach to map comparison. The approach is specifically aimed at categorical raster maps and applies fuzzy set techniques, accounting for fuzziness of location and fuzziness of category, to create a similarity map as well as an overall similarity statistic: the Fuzzy Kappa. To date, the calculation of the Fuzzy Kappa (or K-fuzzy) has not been formally derived, and the documented procedure was only valid for cases without fuzziness of category. Furthermore, it required an infinitely large, edgeless map. This paper presents the full derivation of the Fuzzy Kappa; the method is now valid for comparisons considering fuzziness of both location and category and does not require further assumptions. This theoretical completion opens opportunities for use of the technique that surpass the original intentions. In particular, the categorical similarity matrix can be applied to highlight or disregard differences pertaining to selected categories or groups of categories and to distinguish between differences due to omission and commission.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Civil and Environmental Engineering
Authors :
AuthorsEmailORCID
Hagen-Zanker, AUNSPECIFIEDUNSPECIFIED
Straatman, BUNSPECIFIEDUNSPECIFIED
Uljee, IUNSPECIFIEDUNSPECIFIED
Date : 2005
Related URLs :
Additional Information : This is an Author's Accepted Manuscript of an article published in International Journal of Geographical Information Science 2005, copyright Taylor & Francis, available online at: http://www.tandfonline.com/10.1080/13658810500072137
Depositing User : Symplectic Elements
Date Deposited : 14 Aug 2013 17:21
Last Modified : 23 Sep 2013 20:12
URI: http://epubs.surrey.ac.uk/id/eprint/790274

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