A Thorough Formalization of Conceptual Spaces

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Titel: A Thorough Formalization of Conceptual Spaces
Autor(en): Lucas, Bechberger
Kai-Uwe, Kühnberger
Zusammenfassung: The 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.
Bibliografische Angaben: Buchtitel: "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"
URL: https://doi.org/10.1007/978-3-319-67190-1_5
https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2018020816595
ISBN: 978-3-319-67190-1
Schlagworte: Conceptual Spaces; Star-Shaped Sets; Fuzzy Sets
Erscheinungsdatum: 8-Feb-2018
Enthalten in den Sammlungen:FB08 - Hochschulschriften

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KI_2017_Bechberger_Appendix.pdfAppendix to A Thorough Formalization of Conceptual Spaces128,97 kBAdobe PDFMiniaturbild
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KI_2017_Bechberger.pdfA Thorough Formalization of Conceptual Spaces262,5 kBAdobe PDFMiniaturbild
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