Computational geometry: an introduction
Computational geometry: an introduction
Realm-based spatial data types: the ROSE algebra
The VLDB Journal — The International Journal on Very Large Data Bases
COSIT '97 Proceedings of the International Conference on Spatial Information Theory: A Theoretical Basis for GIS
Qualitative Spatial Reasoning: A Semi-quantitative Approach Using Fuzzy Logic
SSD '89 Proceedings of the First Symposium on Design and Implementation of Large Spatial Databases
SSD '97 Proceedings of the 5th International Symposium on Advances in Spatial Databases
Metric operations on fuzzy spatial objects in databases
Proceedings of the 8th ACM international symposium on Advances in geographic information systems
Cardinal relations between regions with a broad boundary
Proceedings of the 8th ACM international symposium on Advances in geographic information systems
Fuzzy topological predicates, their properties, and their integration into query languages
Proceedings of the 9th ACM international symposium on Advances in geographic information systems
Design and implementation of finite resolution crisp and fuzzy spatial objects
Data & Knowledge Engineering
Uncertainty in Spatiotemporal Databases
ADVIS '02 Proceedings of the Second International Conference on Advances in Information Systems
A Geometric Theory of Vague Boundaries Based on Supervaluation
COSIT 2001 Proceedings of the International Conference on Spatial Information Theory: Foundations of Geographic Information Science
A Graded Approach to Directions between Extended Objects
GIScience '02 Proceedings of the Second International Conference on Geographic Information Science
A Design of Topological Predicates for Complex Crisp and Fuzzy Regions
ER '01 Proceedings of the 20th International Conference on Conceptual Modeling: Conceptual Modeling
Relational confidence bounds are easy with the bootstrap
Proceedings of the 2005 ACM SIGMOD international conference on Management of data
Identifying topological predicates for vague spatial objects
Proceedings of the 2005 ACM symposium on Applied computing
Uncertain spatial data handling: Modeling, indexing and query
Computers & Geosciences
Spatial vagueness and imprecision in databases
Proceedings of the 2008 ACM symposium on Applied computing
A system of types and operators for handling vague spatial objects
International Journal of Geographical Information Science
Modeling and querying fuzzy spatiotemporal databases
Information Sciences: an International Journal
Computational models for computing fuzzy cardinal directional relations between regions
Knowledge-Based Systems
Towards a General Field model and its order in GIS
International Journal of Geographical Information Science
International Journal of Geographical Information Science
VASA: An algebra for vague spatial data in databases
Information Systems
Journal of Visual Languages and Computing
K-nearest neighbor search for fuzzy objects
Proceedings of the 2010 ACM SIGMOD International Conference on Management of data
Plateau regions: an implementation concept for fuzzy regions in spatial databases and GIS
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
The maximal distance between imprecise point objects
Fuzzy Sets and Systems
Fuzzy topological relations between fuzzy spatial objects
FSKD'06 Proceedings of the Third international conference on Fuzzy Systems and Knowledge Discovery
A model for classification of topological relationships between two spatial objects
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part II
Modeling and refining directional relations based on fuzzy mathematical morphology
RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part I
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
Modeling cardinal directional relations between fuzzy regions based on alpha-morphology
LoCA'05 Proceedings of the First international conference on Location- and Context-Awareness
Topological predicates between vague spatial objects
SSTD'05 Proceedings of the 9th international conference on Advances in Spatial and Temporal Databases
Entity-relationship and object-oriented formalisms for modeling spatial environmental data
Environmental Modelling & Software
Spatial query processing for fuzzy objects
The VLDB Journal — The International Journal on Very Large Data Bases
Probabilistic ranking in fuzzy object databases
Proceedings of the 21st ACM international conference on Information and knowledge management
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In many geographical applications there is a need to model spatial phenomena not simply by sharply bounded objects but rather through vague concepts due to indeterminate boundaries. Spatial database systems and geographical information systems are currently not able to deal with this kind of data. In order to support these applications, for an important kind of vagueness called fuzziness, we propose an abstract, conceptual model of so-called fuzzy spatial data types (i.e., a fuzzy spatial algebra) introducing fuzzy points, fuzzy lines, and fuzzy regions. This paper focuses on defining their structure and semantics. The formal framework is based on fuzzy set theory and fuzzy topology.