Abstract
In this paper, we propose a modified version of the Naïve Possibilistic Classifier (NPC) which has been already suggested to make decision from numerical data. As the former NPC, the modified classifier makes use of the probability to possibility transformation of Dubois et al. in the continuous case in order to estimate possibilistic beliefs. However, unlike the former NPC which uses the product as a fusion operator, the proposed classifier fuses possibilistic beliefs using the generalized minimum-based algorithm which has been recently proposed as an improvement of the minimum operator for combining possibilistic estimates. Experimental evaluations are conducted on 15 numerical datasets taken from University of California Irvine (UCI) and show that the new version of NPC largely outperforms the former one in terms of accuracy.
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References
Langley, P., Iba, W., Thompson, K.: An analysis of Bayesian classifiers. In: Proceedings of AAAI, pp. 223–228 (1992)
Khaleghi, B., Khamis, A., Karray, F.O., Razavi, S.N.: Multisensor data fusion: a review of the state-of-the-art. Inf. Fusion 14(1), 28–44 (2013)
Dubois, D., Foulloy, L., Mauris, G., Prade, H.: Probability-possibility transformations, triangular fuzzy sets, and probabilistic inequalities. Reliable Comput. 10(4), 273–297 (2004)
Baati, K., Kanoun, S., Benjlaiel, M.: Différenciation d’écritures arabe et latine de natures imprime et manuscrite par approche globale. In: Colloque International Francophone Sur l’Ecrit et le Document (CIFED) (2010)
Bounhas, M., Mellouli, K., Prade, H., Serrurier, M.: Possibilistic classifiers for numerical data. Soft Comput. 17, 733–751 (2013)
Baati, K., Hamdani, T.M., Alimi, A.M.: Diagnosis of lymphatic diseases using a naïve bayes style possibilistic classifier. In: Proceedings of the IEEE International Conference on Systems, Man and Cybernetics (SMC), pp. 4539–4542. IEEE (2013)
Baati, K., Hamdani, T.M., Alimi, A.M., Abraham, A.: A Modified Naïve Bayes Style Possibilistic Classifier for the Diagnosis of Lymphatic Diseases. In: Proceedings of the 16th International Conference on Hybrid Intelligent Systems. Springer (2016)
Baati, K., Hamdani, T.M., Alimi, A.M., Abraham, A.: A new possibilistic classifier for heart disease detection from heterogeneous medical data. Int. J. Comput. Sci. Inf. Secur. 14(7), 443–450 (2016)
Borgelt, C., Gebhardt, J.: A naïve bayes style possibilistic classifier. In: Proceedings of the 7th European Congress on Intelligent Techniques and Soft Computing (1999)
Borgelt, C., Kruse, R.: Efficient maximum projection of database induced multivariate possibility distributions. In: Proceedings of the 7th IEEE International Conference on Fuzzy Systems, pp. 663–668 (1988)
Haouari, B., Ben Amor, N., Elouedi, Z., Mellouli, K.: Naïve possibilistic network classifiers. Fuzzy Sets Syst. 160(22), 3224–3238 (2009)
Benferhat, S., Tabia, K.: An efficient algorithm for naive possibilistic classifiers with uncertain inputs. In: Greco, S., Lukasiewicz, T. (eds.) SUM 2008. LNCS (LNAI), vol. 5291, pp. 63–77. Springer, Heidelberg (2008). doi:10.1007/978-3-540-87993-0_7
Bounhas, M., Hamed, M.G., Prade, H., Serrurier, M., Mellouli, K.: Naïve possibilistic classifiers for imprecise or uncertain numerical data. Fuzzy Sets Syst. 239, 137–156 (2014)
Zadeh, L.A.: Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets Syst. 1(1), 3–28 (1978)
Dubois, D., Prade, H.M., Farreny, H., Martin-Clouaire, R., Testemale, C.: Possibility Theory: An Approach to Computerized Processing of Uncertainty 2. Plenum Press, New York (1988)
Baati, K., Hamdani, T.M., Alimi, A.M.: Hybrid naïve possibilistic classifier for heart disease detection from heterogeneous medical data. In: Proceedings of the 13th International Conference on Hybrid Intelligent Systems, pp. 235–240. IEEE (2013)
Baati, K., Hamdani, T.M., Alimi, A.M.: A modified hybrid naive possibilistic classifier for heart disease detection from heterogeneous medical data. In: Proceedings of the 6th International Conference on Soft Computing and Pattern Recognition, pp. 353–35. IEEE (2014)
Acknowledgment
The authors would like to acknowledge the financial support of this work by grants from General Direction of Scientific Research (DGRST), Tunisia, under the ARUB program.
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Baati, K., Hamdani, T.M., Alimi, A.M., Abraham, A. (2017). A Modified Naïve Possibilistic Classifier for Numerical Data. In: Madureira, A., Abraham, A., Gamboa, D., Novais, P. (eds) Intelligent Systems Design and Applications. ISDA 2016. Advances in Intelligent Systems and Computing, vol 557. Springer, Cham. https://doi.org/10.1007/978-3-319-53480-0_41
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DOI: https://doi.org/10.1007/978-3-319-53480-0_41
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