Formal ways for measuring relations between concepts in conceptual spaces(dagger)

Autor(en): Bechberger, Lucas
Kuehnberger, Kai-Uwe 
Stichwörter: betweenness; Computer Science; Computer Science, Artificial Intelligence; Computer Science, Theory & Methods; concept size; conceptual spaces; fuzzy sets; implication; similarity; SPACES; subsethood
Erscheinungsdatum: 2021
Herausgeber: WILEY
Journal: EXPERT SYSTEMS
Volumen: 38
Ausgabe: 7
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 regions in this space. In this article, we extend our recent mathematical formalization of this framework by providing quantitative mathematical definitions for measuring relations between concepts. We develop formal ways for computing concept size, subsethood, implication, similarity, and betweenness. This considerably increases the representational capabilities of our formalization.
ISSN: 02664720
DOI: 10.1111/exsy.12348

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