Numerical Properties of Fuzzy Regions: Surface Area

Authors:
Jörg Verstraete;Axel Hallez
Affiliations:
DDCM, Telin, Gent University, Sint-Pietersnieuwstraat 41, 9000 Ghent, Belgium;DDCM, Telin, Gent University, Sint-Pietersnieuwstraat 41, 9000 Ghent, Belgium
Venue:
IFSA '07 Proceedings of the 12th international Fuzzy Systems Association world congress on Foundations of Fuzzy Logic and Soft Computing
Year:
2007

Citing 4
Cited 0

Fuzzy sets and fuzzy logic: theory and applications

Fuzzy sets and fuzzy logic: theory and applications
The three semantics of fuzzy sets

Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
Spatial databases with application to GIS

Spatial databases with application to GIS
Quantitative fuzzy semantics

Information Sciences: an International Journal

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper concerns the modelling of fuzzy information in geographic databases. In the past, a theoretical model for fuzzy regions has been presented, along with various operations useful in a geographic database: union, intersection, topology, bounding rectangle, etc. and feasible models for implementation based on this theoretical model. Now, the attention is directed at some of the problems that can occur when determining numerical properties of fuzzy regions: what type of result is expected (and desired), and how does this impact the definitions of the operations. As an example, the definition of the surface area of a fuzzy set is studied in more detail.