A quantitative approach to topology for fuzzy regions

Authors:
Jörg Verstraete
Affiliations:
Instytut Badań Systemowych, Polska Akademia Nauk, Systems Research Institute, Polish Academy of Sciences, Warszawa, Poland, DDCM, Dept. Telecommunications and Information Processing, Ghent Un ...
Venue:
ICAISC'10 Proceedings of the 10th international conference on Artificial intelligence and soft computing: Part I
Year:
2010

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Abstract

There has been lots of research in the field of fuzzy spatial data and the topology of fuzzy spatial objects. In this contribution, an extension to the 9-intersection model is presented, to allow for the relative position of overlapping fuzzy regions to be determined. The topology will be determined by means of a new intersection matrix, and a set of numbers, expressing the similarity between the topology of the given regions and a number of predefined cases. The approach is not merely a conceptual idea, but has been built on our representation model and can as such be immediately applied.