Model of Similarity for the Conceptual Spaces Theory – Empirical Study

Authors

DOI:

https://doi.org/10.18778/1689-4286.45.01

Keywords:

Conceptual Spaces, Geometric Representation of Similarity.

Abstract

This paper is devoted to the empirical evaluation of the extension of the Gärdenfors’ similarity model. His proposition insufficiently emphasizes the asymmetry of the modeled relationship of similarity. The proposed modification allows one to include the asymmetry of similarity and significantly sensitize the model to any contextual nuances. The model was compared with other theoretical proposals of geometrical modeling of similarity, including two asymmetric models and one symmetrical. The empirical evaluation of the model took place in two series of experiments. The obtained statistical data were compared with results inferred by tested models. The evaluation was based on iterative procedure designed to minimize the error generated by all compared models.

References

Gärdenfors P. (2000), Conceptual Spaces: On the Geometry of Thought, Cambridge: MIT Press. DOI: https://doi.org/10.7551/mitpress/2076.001.0001

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Nosofsky, R. M. (1991), Stimulus bias, asymmetric similarity, and classification. Cognitive Psychology, 23, s. 91-140. DOI: https://doi.org/10.1016/0010-0285(91)90004-8

Tversky, A. (1977), Features of Similarity. Psychological Review, 84, s. 327-352. DOI: https://doi.org/10.1037/0033-295X.84.4.327

Zenker, F. & Gar̈denfors, P. (2015), Communication, Rationality, and Conceptual Changes in Scientific Theories, [in:] Zenker, F. & Gärdenfors, P., (eds.) Applications of conceptual spaces: The case for geometric knowledge representation, Cham: Springer, s. 259- 277. DOI: https://doi.org/10.1007/978-3-319-15021-5_14

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Published

2019-06-30

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Articles

How to Cite

Gemel, Aleksander. 2019. “Model of Similarity for the Conceptual Spaces Theory – Empirical Study”. Hybris 45 (2): 1-16. https://doi.org/10.18778/1689-4286.45.01.