Spatial relations based on dominance of fuzzy sets
Applying soft computing in defining spatial relations
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Land use planning, particularly in suburban areas, is a specialized spatial resource allocation problem. Spatial relationships between regions in an image play an important role in scene understanding. When the objects in a scene are represented by crisp sets, the all-or-nothing definitions of the subsets actually add to the problem of generating relational descriptions. We believe that definitions of spatial relationships based on fuzzy set theory, coupled with a fuzzy segmentation could produce realistic results. This paper introduces spatial relationships among fuzzy subsets of an image plane. The idea is to project the fuzzy subsets onto two orthogonal coordinate axes and, subsequently, utilize fuzzy set dominance relations to capture the approximate relationships. Simulation results are provided to corroborate the theory.