Abstract
The problem of measuring association between preference systems in situations with missing information or noncomparable outputs is discussed. A new generalization of Spearman’s Rho is suggested. Moreover, it is shown how to apply the suggested coefficient for testing independence.
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References
Adomavicius, G., Tuzhilin, A.: Toward the next generation of recommender systems: A survey of the state-of-the-art and possible extensions. IEEE Trans. Knowl. Data Eng. 17(6), 734–749 (2005)
Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 87–96 (1986)
Atanassov, K.: Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag, Heidelberg (1999)
Denœux, T., Masson, M.H., Hébert, P.A.: Nonparametric rank-based statistics and significance tests for fuzzy data. Fuzzy Sets and Systems 153, 1–28 (2005)
Gibbons, J.D., Chakraborti, S.: Nonparametric Statistical Inference. Marcel Dekker, Inc., New York (2003)
Grzegorzewski, P.: The generalized Spearman’s rank correlation coefficient. In: Proceedings of the Tenth International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Perugia, Italy, July 4-9, pp. 1413–1418 (2004)
Grzegorzewski, P.: The coefficient of concordance for vague data. Computational Statistics and Data Analysis 51, 314–322 (2006)
Grzegorzewski, P.: Kendall’s correlation coefficient for vague preferences. Soft Computing 13, 1051–1061 (2009)
Hébert, P.A., Masson, M.H., Denœux, T.: Fuzzy rank correlation between fuzzy numbers. In: Proceedings of the 10th IFSA World Congress-IFSA 2003, Istanbul-Turkey, June 29-July 2, pp. 224–227 (2003)
Macdonald, C., He, B., Ounis, I.: Predicting Query Performance in Intranet Search. In: Proceedings of the ACM SIGIR 2005 Query Prediction Workshop, Salvador, Brazil (August 19, 2005)
Roy, B., Słowinski, R.: Criterion of distance between technical programing and socio-economic priority. Oper. Res. 27, 45–60 (1993)
Zadeh, L.A.: Fuzzy sets. Inform. and Control 8, 338–353 (1965)
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Grzegorzewski, P., Ziembińska, P. (2011). Spearman’s Rank Correlation Coefficient for Vague Preferences. In: Christiansen, H., De Tré, G., Yazici, A., Zadrozny, S., Andreasen, T., Larsen, H.L. (eds) Flexible Query Answering Systems. FQAS 2011. Lecture Notes in Computer Science(), vol 7022. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24764-4_30
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DOI: https://doi.org/10.1007/978-3-642-24764-4_30
Publisher Name: Springer, Berlin, Heidelberg
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