@article{54edddf8f89e480798f5d933e2c5567a,
title = "Categorization generated by extended prototypes-An axiomatic approach",
abstract = "We suggest a model of categorization based on prototypes. A set of entities, identified with some finite dimensional Euclidian space, is partitioned into a finite number of categories. Such a categorization is said to be generated by extended prototypes if there is a set of distinguished entities, one for each category, such that the categorization is determined by proximity to these prototypical entities. The prototypes are called extended since they are described by points in a higher dimensional space than the entities. Sufficient conditions for a categorization to be generated by extended prototypes are provided. These conditions are also necessary if the prototypes are in general position.",
keywords = "Categorization, Conceptual spaces, Prototype-oriented decision making, Prototypes",
author = "Yaron Azrieli and Ehud Lehrer",
note = "Funding Information: We thank Itzhak Gilboa, Jean-Yves Jaffray, Dov Samet and David Schmeidler for their helpful comments. The authors are grateful to the editor and two anonymous referees of the Journal of Mathematical Psychology. This research was partially supported by the Israel Science Foundation, Grant #762/045.",
year = "2007",
month = feb,
doi = "10.1016/j.jmp.2006.10.001",
language = "אנגלית",
volume = "51",
pages = "14--28",
journal = "Journal of Mathematical Psychology",
issn = "0022-2496",
publisher = "Academic Press Inc.",
number = "1",
}