Fuzzy boundary and characteristic properties of order-homomorphisms
Fuzzy Sets and Systems
Mereotopology: a theory of parts and boundaries
Data & Knowledge Engineering - Special issue on modeling parts and wholes
Fuzzy description of topological relations I: a unified fuzzy 9-intersection model
ICNC'05 Proceedings of the First international conference on Advances in Natural Computation - Volume Part III
Fuzzy description of topological relations II: computation methods and examples
ICNC'05 Proceedings of the First international conference on Advances in Natural Computation - Volume Part III
Information Sciences: an International Journal
Estimation of Geographic Relevance for Web Objects Using Probabilistic Models
W2GIS '08 Proceedings of the 8th International Symposium on Web and Wireless Geographical Information Systems
Qualified topological relations between spatial objects with possible vague shape
International Journal of Geographical Information Science
Two-dimensional fuzzy spatial relations: a new way of computing and representation
Advances in Fuzzy Systems
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There have been many research developments on the conceptual description of topological relations between spatial objects. In order to practically implement these conceptual topological relations in a computer environment, we need to calculate the values of the topological relations. One of the theoretical bases for doing this is a computational fuzzy topology, which is the research focus of this study. Here, we present a development of computational fuzzy topology, which is based on the interior operator and closure operator. These operators are further defined as a coherent fuzzy topology-the complement of the open set is the closed set and vice versa; where the open set and closed set are defined by interior and closure operators-two level cuts. The elementary components of fuzzy topology for spatial objects-interior, boundary and exterior-are thus computed based on the computational fuzzy topology. An example of calculating the interior, boundary, and exterior of Mikania micrantha based on the aerial photographs of the Hong Kong countryside is provided in order to demonstrate the application of the theoretical development. Practically, the developed computational fuzzy topology is applicable for computing the values of fuzzy topological relations, such as defined conceptually by the 9-intersection model.