Abstract
Card sorting was used to gather information about facial similarity judgments. A group of raters put a set of facial photos into an unrestricted number of different piles according to each rater’s judgment of similarity. This paper proposes a linear model for 3-way analysis of similarity. An overall rating function is a weighted linear combination of ratings from individual raters. A pair of photos is considered to be similar, dissimilar, or divided, respectively, if the overall rating function is greater than or equal to a certain threshold, is less than or equal to another threshold, or is between the two thresholds. The proposed framework for 3-way analysis of similarity is complementary to studies of similarity based on features of photos.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Deibel, K., Anderson, R., Anderson, R.: Using edit distance to analyze card sorts. Expert Syst. 22(3), 129–138 (2005)
Faiks, A., Hyland, N.: Gaining user insight: a case study illustrating the card sort technique. Coll. Res. Libr. 61(4), 349–357 (2000)
Hepting, D.H., Bin Amer, H.H., Yao, Y.: Three-way analysis of facial similarity judgements. In: Proceedings of 2nd International Symposium on Fuzzy and Rough Sets (ISFUROS 2017), October 2017
Hepting, D.H., Maciag, T., Spring, R., Arbuthnott, K., Ślęzak, D.: A rough sets approach for personalized support of face recognition. In: Sakai, H., Chakraborty, M.K., Hassanien, A.E., Ślęzak, D., Zhu, W. (eds.) RSFDGrC 2009. LNCS (LNAI), vol. 5908, pp. 201–208. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-10646-0_24
Hepting, D.H., Spring, R., Ślęzak, D.: A rough set exploration of facial similarity judgements. In: Peters, J.F., Skowron, A., Sakai, H., Chakraborty, M.K., Slezak, D., Hassanien, A.E., Zhu, W. (eds.) Transactions on Rough Sets XIV. LNCS, vol. 6600, pp. 81–99. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-21563-6_5
Hu, B.Q., Wong, H., Yiu, K.C.: On two novel types of three-way decisions in three-way decision spaces. Int. J. Approx. Reason. 82, 285–306 (2017). http://www.sciencedirect.com/science/article/pii/S0888613X1630319X
Li, H., Zhang, L., Zhou, X., Huang, B.: Cost-sensitive sequential three-way decision modeling using a deep neural network. Int. J. Approx. Reason. 85, 68–78 (2017). http://www.sciencedirect.com/science/article/pii/S0888613X17302086
Li, X., Sun, B., She, Y.: Generalized matroids based on three-way decision models. Int. J. Approx. Reason. 90, 192–207 (2017). http://www.sciencedirect.com/science/article/pii/S0888613X17304784
Liang, D., Xu, Z., Liu, D.: Three-way decisions based on decision-theoretic rough sets with dual hesitant fuzzy information. Inf. Sci. 396, 127–143 (2017). http://www.sciencedirect.com/science/article/pii/S002002551730539X
Martine, G., Rugg, G.: That site looks 88.46% familiar: quantifying similarity of web page design. Expert Syst. 22(3), 115–120 (2005)
Soranzo, A., Cooksey, D.: Testing taxonomies: beyond card sorting. Bull. Am. Soc. Inf. Sci. Technol. 41(5), 34–39 (2015)
Turk, M., Pentland, A.: Eigenfaces for recognition. J. Cogn. Neurosci. 3(1), 71–86 (1991)
Yang, X., Li, T., Liu, D., Chen, H., Luo, C.: A unified framework of dynamic three-way probabilistic rough sets. Inf. Sci. 420, 126–147 (2017). http://www.sciencedirect.com/science/article/pii/S0020025517308939
Yao, Y.: An outline of a theory of three-way decisions. In: Yao, J.T., Yang, Y., Słowiński, R., Greco, S., Li, H., Mitra, S., Polkowski, L. (eds.) RSCTC 2012. LNCS (LNAI), vol. 7413, pp. 1–17. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-32115-3_1
Yao, Y.Y.: Three-way decisions and cognitive computing. Cogn. Comput. 8(4), 543–554 (2016). https://doi.org/10.1007/s12559-016-9397-5
Yu, H., Jiao, P., Yao, Y., Wang, G.: Detecting and refining overlapping regions in complex networks with three-way decisions. Inf. Sci. 373, 21–41 (2016). http://www.sciencedirect.com/science/article/pii/S0020025516306703
Acknowledgements
The authors would like to thank Dominik Ślęzak for his encouragement and the anonymous reviewers for their constructive comments. This work has been supported, in part, by two NSERC Discovery Grants.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Hepting, D.H., Bin Amer, H.H., Yao, Y. (2018). A Linear Model for Three-Way Analysis of Facial Similarity. In: Medina, J., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. IPMU 2018. Communications in Computer and Information Science, vol 854. Springer, Cham. https://doi.org/10.1007/978-3-319-91476-3_44
Download citation
DOI: https://doi.org/10.1007/978-3-319-91476-3_44
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-91475-6
Online ISBN: 978-3-319-91476-3
eBook Packages: Computer ScienceComputer Science (R0)