Model podobieństwa dla teorii przestrzeni pojęciowych – studium empiryczne

Aleksander Gemel

doi:10.18778/1689-4286.45.01

Authors

Aleksander Gemel Uniwersytet Łódzki

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.
View in Google Scholar DOI: https://doi.org/10.7551/mitpress/2076.001.0001

Gemel A. (2016), Problem geometrycznej reprezentacji podobieństwa w koncepcji przestrzeni pojęciowych Petera Gärdenforsa, Filozofia Nauki, 3(95), s. 25-41.
View in Google Scholar

Holman, E. W. (1979), Monotonic models for asymmetric proximities, Journal of Mathematical Psychology, 20, s. 1-15.
View in Google Scholar DOI: https://doi.org/10.1016/0022-2496(79)90031-2

Nosofsky, R. M. (1987), Attention and learning processes in the identification and categorization of integral stimuli, Journal of Experimental Psychology: Learning, Memory, and Cognition, 13, s. 87-108.
View in Google Scholar DOI: https://doi.org/10.1037/0278-7393.13.1.87

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

Tversky, A. (1977), Features of Similarity. Psychological Review, 84, s. 327-352.
View in Google Scholar 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.
View in Google Scholar DOI: https://doi.org/10.1007/978-3-319-15021-5_14