Abstract
The expanded version of Tversky’s feature model by Geist, Lengnink and Wille (GLW) provides a compelling representation of similarity by adding an incomparability option. However, previous research has found the GLW model lacking when compared with participants’ responses. We present several new models based on the GLW model and validate them on data from previous similarity experiments. The results indicate that human similarity perception is not well described by a partial order.
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References
Endres, D., Adam, R., Giese, M.A., Noppeney, U.: Understanding the semantic structure of human fMRI brain recordings with formal concept analysis. In: Domenach, F., Ignatov, D.I., Poelmans, J. (eds.) ICFCA 2012. LNCS (LNAI), vol. 7278, pp. 96–111. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-29892-9_13
Geist, S., Lengnink, K., Wille, R.: An order-theoretic foundation for similarity measures. In: Lengnink, K. (ed.) Formalisierungen von Ähnlichkeit aus Sicht der Formalen Begriffsanalyse, pp. 75–87. Shaker Verlag (1996)
Schubert, M., Endres, D.: Empirically evaluating the similarity model of Geist, Lengnink and Wille. In: Chapman, P., Endres, D., Pernelle, N. (eds.) ICCS 2018. LNCS (LNAI), vol. 10872, pp. 88–95. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-91379-7_7
Tversky, A.: Features of similarity. Psychol. Rev. 84(4), 327–352 (1977). https://doi.org/10.1037/0033-295X.84.4.327
Acknowledgement
This work was supported by the DFG SFB/TRR 135 “Cardinal Mechanisms of Perception”, project C6.
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Serr, A., Schubert, M., Endres, D. (2019). Mathematical Similarity Models: Do We Need Incomparability to Be Precise?. In: Endres, D., Alam, M., Şotropa, D. (eds) Graph-Based Representation and Reasoning. ICCS 2019. Lecture Notes in Computer Science(), vol 11530. Springer, Cham. https://doi.org/10.1007/978-3-030-23182-8_20
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DOI: https://doi.org/10.1007/978-3-030-23182-8_20
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