Computational geometry: an introduction
Computational geometry: an introduction
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Information Sciences: an International Journal
Fuzzy plane geometry I: points and lines
Fuzzy Sets and Systems
Computational geometry: algorithms and applications
Computational geometry: algorithms and applications
Fuzzy plane geometry II: circles and polygons
Fuzzy Sets and Systems
High-resolution landform classification using fuzzy k-means
Fuzzy Sets and Systems - Special issue on Uncertainty in geographic information systems and spatial data
A spatial model for complex objects with a broad boundary supporting queries on uncertain data
Data & Knowledge Engineering
Spatial SQL: A Query and Presentation Language
IEEE Transactions on Knowledge and Data Engineering
Design and implementation of finite resolution crisp and fuzzy spatial objects
Data & Knowledge Engineering
Geo-Relational Algebra: A Model and Query Language for Geometric Database Systems
EDBT '88 Proceedings of the International Conference on Extending Database Technology: Advances in Database Technology
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
Topological Constraints: A Representational Framework For Approximate Spatial And Temporal Reasoning
SSD '91 Proceedings of the Second International Symposium on Advances in Spatial Databases
A Canonical Model for a Class of Areal Spatial Objects
SSD '93 Proceedings of the Third International Symposium on Advances in Spatial Databases
Uncertainty Management for Spatial Data in Databases: Fuzzy Spatial Data Types
SSD '99 Proceedings of the 6th International Symposium on Advances in Spatial Databases
Topological relationships between complex spatial objects
ACM Transactions on Database Systems (TODS)
Spatio-Temporal Databases: Flexible Querying and Reasoning
Spatio-Temporal Databases: Flexible Querying and Reasoning
A system of types and operators for handling vague spatial objects
International Journal of Geographical Information Science
VASA: An algebra for vague spatial data in databases
Information Systems
Using fuzzy inference system for architectural space analysis
Applied Soft Computing
iBLOB: complex object management in databases through intelligent binary large objects
ICOODB'10 Proceedings of the Third international conference on Objects and databases
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
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Many geographical applications have to deal with spatial objects that reveal an intrinsically vague or fuzzy nature. A spatial object is fuzzy if locations exist that cannot be assigned completely to the object or to its complement. Spatial database systems and Geographical Information Systems (GIS) are currently unable to cope with this kind of data. Based on an available abstract data model of fuzzy spatial data types for fuzzy points, fuzzy lines, and fuzzy regions that leverages fuzzy set theory and fuzzy point set topology, this article proposes a Spatial Plateau Algebra that provides spatial plateau data types as an implementation of fuzzy spatial data types. Each spatial plateau object consists of a finite number of crisp counterparts that are all adjacent or disjoint to each other, are associated with different membership values, and hence form different plateaus. The formal framework and the implementation are based on well known, exact models and implementations of crisp spatial data types. Spatial plateau operations as geometric operations on spatial plateau objects are expressed as a combination of geometric operations on the underlying crisp spatial objects. This article offers a conceptually clean foundation for implementing a database extension for fuzzy spatial objects and their operations, and demonstrates the embedding of these new data types as attribute data types in a database schema as well as the incorporation of fuzzy spatial operations into a database query language.