Modelling topological and metrical properties in physical processes
Proceedings of the first international conference on Principles of knowledge representation and reasoning
Topological relations between fuzzy regions
SAC '97 Proceedings of the 1997 ACM symposium on Applied computing
Imprecision in Finite Resolution Spatial Data
Geoinformatica
SSD '97 Proceedings of the 5th International Symposium on Advances in Spatial Databases
Topological Error Correcting in GIS
SSD '97 Proceedings of the 5th International Symposium on Advances in Spatial Databases
A Design of Topological Predicates for Complex Crisp and Fuzzy Regions
ER '01 Proceedings of the 20th International Conference on Conceptual Modeling: Conceptual Modeling
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Environmental Modelling & Software
International Journal of Geographical Information Science
Journal of Visual Languages and Computing
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
Inconsistency issues in spatial databases
Inconsistency Tolerance
A fuzzy sets theoretic approach to approximate spatial reasoning
IEEE Transactions on Fuzzy Systems
ER '08 Proceedings of the 27th International Conference on Conceptual Modeling
International Journal of Geographical Information Science
Entity-relationship and object-oriented formalisms for modeling spatial environmental data
Environmental Modelling & Software
Topological relation analysis between high-order fuzzy regions based on fuzzy logic
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Geometric properties of interval type-II fuzzy regions
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Hi-index | 0.00 |
Broad boundary is generally used to replace one-dimensional boundary for spatial objects with vague shape. For regions with broad boundary, this concept should respect both connectedness and closeness conditions. Therefore, some real configurations, like regions with partially broad boundary (e.g. lake with rocky and swamp banks), are considered invalid. This paper aims to represent different levels of shape vagueness and consider them during the identification of topological relations. Then, an object with vague shape is composed by two crisp components: a minimal extent and a maximal extent. Topological relations are identified by applying the 9-Intersection model for the subrelations between the minimal and maximal extents of objects involved. Four subrelations are then represented through a 4-Intersection matrix used to classify the topological relations. For regions with broad boundary, 242 relations are distinguished and classified into 40 clusters. This approach supports an adverbial expression of integrity constraints and spatial queries.