Abstract
This paper investigates the problem of clustering data pervaded by uncertainty. Dealing with uncertainty, in particular, using clustering methods can be of great interest since it helps to make a better decision. In this paper, we combine the k-modes method within the possibility theory in order to obtain a new clustering approach for uncertain categorical data; more precisely we develop the so-called possibilistic k-modes method (PKM) allowing to deal with uncertain attribute values of objects where uncertainty is presented through possibility distributions. Experimental results show good performance on well-known benchmarks.
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References
Dubois, D., Prade, H.: Possibility theory: An approach to computerized processing of uncertainty. Plenium Press, New York (1988)
Dubois, D., Prade, H.: Possibility theory and data fusion in poorly informed environments. Control Engineering Practice 25, 811–823 (1994)
Dubois, D., Prade, H.: Possibility theory: Qualitative and quantitative aspects. In: Gabbay, D.M., Smets, P. (eds.) Handbook of Defeasible Reasoning and Uncertainty Management Systems, vol. I, pp. 169–226. Kluwer Academic Publishers, Netherlands (1998)
Haghighi, M.S., Yazdi, H.S., Vahedian, A.: A hierarchical possibilistic clustering. International Journal of Computer Theory and Engineering 1, 465–472 (2009)
Higashi, M., Klir, G.J.: On the notion of distance representing information closeness: Possibility and probability distributions. International Journal of General Systems 9, 103–115 (1983)
Huang, Z.: Extensions to the k-means algorithm for clustering large data sets with categorical values. Data Mining Knowl. Discov. 2(2), 283–304 (1998)
Huang, Z., Ng, M.K.: A note on k-modes clustering. Journal of Classification 20(2), 257–261 (2003)
Jenhani, I., Ben Amor, N., Elouedi, Z., Benferhat, S., Mellouli, K.: Information Affinity: a new similarity measure for possibilistic uncertain information. In: Mellouli, K. (ed.) ECSQARU 2007. LNCS (LNAI), vol. 4724, pp. 840–852. Springer, Heidelberg (2007)
Jenhani, I., Benferhat, S., Elouedi, Z.: Properties Analysis of Inconsistency-based Possibilistic Similarity Measures. In: Proceedings of IPMU 2008, pp. 173–180 (2008)
Jenhani, I., Benferhat, S., Elouedi, Z.: Possibilistic similarity measures. STUDFUZZ 249, 99–123 (2010)
Krishnapuram, R., Keller, J.M.: A possibilistic approach to clustering. IEEE Trans. Fuzzy Syst. 1, 98–110 (1993)
Murphy, M.P., Aha, D.W.: Uci repository databases (1996), http://www.ics.uci.edu/mlearn
Sanguesa, R., Cabos, J., Cortes, U.: Possibilistic conditional independence: A similarity based measure and its application to causal network learning. International Journal of Approximate Reasoning, 145–167 (1997)
Yang, M.S., Wu, K.L.: Unsupervised possibilistic clustering. Pattern Recognition 39, 5–21 (2006)
Zadeh, L.A.: Fuzzy sets. Inform. And Control 8, 338–353 (1965)
Zadeh, L.A.: Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems 1, 3–28 (1978)
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Ammar, A., Elouedi, Z. (2011). A New Possibilistic Clustering Method: The Possibilistic K-Modes. In: Pirrone, R., Sorbello, F. (eds) AI*IA 2011: Artificial Intelligence Around Man and Beyond. AI*IA 2011. Lecture Notes in Computer Science(), vol 6934. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23954-0_40
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DOI: https://doi.org/10.1007/978-3-642-23954-0_40
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