A Thorough Formalization of Conceptual Spaces
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2018020816595
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2018020816595
Title: | A Thorough Formalization of Conceptual Spaces |
Authors: | Lucas, Bechberger Kai-Uwe, Kühnberger |
Abstract: | 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. |
Citations: | 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://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2018020816595 |
ISBN: | 978-3-319-67190-1 |
Subject Keywords: | Conceptual Spaces; Star-Shaped Sets; Fuzzy Sets |
Issue Date: | 8-Feb-2018 |
Type of publication: | Konferenzveröffentlichung [ConferenceObject] Text |
Appears in Collections: | FB08 - Hochschulschriften |
Files in This Item:
File | Description | Size | Format | |
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KI_2017_Bechberger_Appendix.pdf | Appendix to A Thorough Formalization of Conceptual Spaces | 128,97 kB | Adobe PDF | KI_2017_Bechberger_Appendix.pdf View/Open |
KI_2017_Bechberger.pdf | A Thorough Formalization of Conceptual Spaces | 262,5 kB | Adobe PDF | KI_2017_Bechberger.pdf View/Open |
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