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A Thorough Formalization of Conceptual Spaces

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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2018020816595
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DC ElementWertSprache
dc.creatorLucas, Bechberger-
dc.creatorKai-Uwe, Kühnberger-
dc.date.accessioned2018-02-08T08:26:03Z-
dc.date.available2018-02-08T08:26:03Z-
dc.date.issued2018-02-08T08:26:03Z-
dc.identifier.citationBuchtitel: "KI 2017: Advances in Artificial Intelligence: 40th Annual German Conference on AI, Dortmund, Germany, September 25--29, 2017, Proceedings"; Seiten: "58-71" Herausgeber/Verlag: "Springer International Publishing"; Jahr: "2017"; Serie: "Lecture Notes in Computer Science"; Volume = "10505"-
dc.identifier.isbn978-3-319-67190-1-
dc.identifier.urihttps://doi.org/10.1007/978-3-319-67190-1_5-
dc.identifier.urihttps://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2018020816595-
dc.description.abstractThe highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by convex regions in this space. After pointing out a problem with the convexity requirement, we propose a formalization of conceptual spaces based on fuzzy star-shaped sets. Our formalization uses a parametric definition of concepts and extends the original framework by adding means to represent correlations between different domains in a geometric way. Moreover, we define computationally efficient operations on concepts (intersection, union, and projection onto a subspace) and show that these operations can support both learning and reasoning processes.eng
dc.relationhttps://link.springer.com/chapter/10.1007/978-3-319-67190-1_5-
dc.subjectConceptual Spaceseng
dc.subjectStar-Shaped Setseng
dc.subjectFuzzy Setseng
dc.subject.ddc000 - Informatik, Wissen, Systeme-
dc.titleA Thorough Formalization of Conceptual Spaceseng
dc.typeKonferenzveröffentlichung [ConferenceObject]ger
dc.typeTexteng
dc.identifier.doi10.1007/978-3-319-67190-1_5-
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KI_2017_Bechberger_Appendix.pdfAppendix to A Thorough Formalization of Conceptual Spaces128,97 kBAdobe PDF
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