Approximate spatial reasoning: integrating qualitative and quantitative constraints
International Journal of Approximate Reasoning
Qualitative representation of positional information
Artificial Intelligence
Sorites paradox and vague geographies
Fuzzy Sets and Systems - Special issue on Uncertainty in geographic information systems and spatial data
Imprecise reasoning in geographic information systems
Fuzzy Sets and Systems - Special issue on Uncertainty in geographic information systems and spatial data
Individual and multipersonal fuzzy spatial relations acquired using human-machine interaction
Fuzzy Sets and Systems - Special issue on Uncertainty in geographic information systems and spatial data
Determining Consistency of Topological Relations
Constraints
Geoinformatica
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
From the Egg-Yolk to the Scrambled-Egg Theory
Proceedings of the Fifteenth International Florida Artificial Intelligence Research Society Conference
Qualitative and Topological Relationships in Spatial Databases
SSD '93 Proceedings of the Third International Symposium on Advances in Spatial Databases
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
Intelligent Mapping of Hyperspace
WI '03 Proceedings of the 2003 IEEE/WIC International Conference on Web Intelligence
Qualitative Spatial Representation and Reasoning: An Overview
Fundamenta Informaticae - Qualitative Spatial Reasoning
Reasoning about vague topological information
Proceedings of the sixteenth ACM conference on Conference on information and knowledge management
Reasoning about topological relations between regions with broad boundaries
International Journal of Approximate Reasoning
Fuzzy region connection calculus: An interpretation based on closeness
International Journal of Approximate Reasoning
The mathematical morpho-logical view on reasoning about space
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
International Journal of Approximate Reasoning
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
Vector morphological operators for colour images
ICIAR'05 Proceedings of the Second international conference on Image Analysis and Recognition
A fuzzy sets theoretic approach to approximate spatial reasoning
IEEE Transactions on Fuzzy Systems
Fuzzifying Allen's Temporal Interval Relations
IEEE Transactions on Fuzzy Systems
Fuzzy region connection calculus: An interpretation based on closeness
International Journal of Approximate Reasoning
Spatial reasoning in a fuzzy region connection calculus
Artificial Intelligence
On standard models of fuzzy region connection calculus
International Journal of Approximate Reasoning
Two-dimensional fuzzy spatial relations: a new way of computing and representation
Advances in Fuzzy Systems
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Qualitative spatial information plays a key role in many applications. While it is well-recognized that all but a few of these applications deal with spatial information that is affected by vagueness, relatively little work has been done on modelling this vagueness in such a way that spatial reasoning can still be performed. This paper presents a general approach to represent vague topological information (e.g., A is a part of B, A is bordering on B), using the well-known region connection calculus as a starting point. The resulting framework is applicable in a wide variety of contexts, including those where space is used in a metaphorical way. Most notably, it can be used for representing, and reasoning about, qualitative relations between regions with vague boundaries.