A Thorough Formalization of Conceptual Spaces
Autor(en): | Bechberger, L. Kühnberger, K.-U. |
Herausgeber: | Furnkranz, J. Thimm, M. Kern-Isberner, G. |
Stichwörter: | Artificial intelligence; Conceptual spaces; Different domains; Fuzzy sets; High dimensional spaces; Reasoning process; Star-shaped sets; Star-shaped sets, Potassium compounds; Stars, Computationally efficient | Erscheinungsdatum: | 2017 | Herausgeber: | Springer Verlag | Enthalten in: | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | Band: | 10505 LNAI | Startseite: | 58 | Seitenende: | 71 | 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. © 2017, Springer International Publishing AG. |
Beschreibung: | Conference of 40th Annual German Conference on Artificial Intelligence, KI 2017 ; Conference Date: 25 September 2017 Through 29 September 2017; Conference Code:199309 |
ISBN: | 9783319671895 | ISSN: | 03029743 | DOI: | 10.1007/978-3-319-67190-1_5 | Externe URL: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85030864878&doi=10.1007%2f978-3-319-67190-1_5&partnerID=40&md5=e96e6a36a79451efda16f1860d3f2d4e |
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geprüft am 07.06.2024