Artificial Intelligence - Special volume on qualitative reasoning about physical systems
Artificial Intelligence
Nonmonotonic reasoning, preferential models and cumulative logics
Artificial Intelligence
On the semantics of fuzzy logic
International Journal of Approximate Reasoning
The EGG/YOLK reliability hierarchy: semantic data integration using sorts with prototypes
CIKM '94 Proceedings of the third international conference on Information and knowledge management
Robust reasoning: integrating rule-based and similarity-based reasoning
Artificial Intelligence
Conceptual Spaces: The Geometry of Thought
Conceptual Spaces: The Geometry of Thought
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Ranking alternatives on the basis of generic constraints and examples: a possibilistic approach
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Reasoning about categories in conceptual spaces
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
Belief extrapolation (or how to reason about observations and unpredicted change)
Artificial Intelligence
Interpolation and extrapolation in conceptual spaces: a case study in the music domain
RR'11 Proceedings of the 5th international conference on Web reasoning and rule systems
Semantics of collinearity among regions
OTM'05 Proceedings of the 2005 OTM Confederated international conference on On the Move to Meaningful Internet Systems
Interpolation and extrapolation in conceptual spaces: a case study in the music domain
RR'11 Proceedings of the 5th international conference on Web reasoning and rule systems
Combining RCC5 relations with betweenness information
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Interpolative reasoning with default rules
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
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Various forms of commonsense reasoning may be used to cope with situations where insufficient knowledge is available for a given purpose. In this paper, we rely on such a strategy to complete sets of symbolic categorization rules, starting from background information about the semantic relationship of different properties and concepts. Our solution is based on Gärdenfors conceptual spaces, which allow us to express semantic relationships with a geometric flavor. In particular, we take the inherently qualitative notion of betweenness as primitive, and show how it naturally leads to patterns of interpolative reasoning. Both a semantic and a syntactic characterization of this process is presented, and the computational complexity is analyzed. Finally, some patterns of extrapolative reasoning are sketched, based on the notions of betweenness and parallelism.