2D fuzzy spatial relations: New way of computing and representation
Abstract
In existing methods, fuzzy topological relations are based on computing topological relations between fuzzy objects. These types of fuzzy topological relations are due to the imprecision in observed phenomenon and objects have the weak contour. This imprecision can be found in semantics of relationships or it represents the fuzzy semantics. In such a situation, fuzzy topological relations are needed between crisp objects. These relations are much less developed. we propose a method for computing fuzzy topological and directional relations which is called combined topological and directional relations (CTD) method. More over a single method is used to derive the fuzzy topological and fuzzy directional relations and this method deals with the second order fuzziness. A matrix method to represent the topological relations along with directional contents is proposed, it is a quantitative method for ¯nding the topological and directional relations while its evaluation approach is fuzzy and at the end an algorithm is proposed to know the ¯nal topological and directional relation between a 2D object pair. For method validation, a number of experiments are performed on arti¯cial data. This method can be used to answer the complex queries in spatial databases design and managements.
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