Abstract
Two Bayesian-like possibilistic classifiers based on the transformation of Dubois et al. in the continuous case have been proposed to deal with numerical data. For these two classifiers, namely Naïve Possibilistic Classifier (NPC) and Flexible Naïve Possibilistic Classifier (FNPC), the minimum operator has led to less accurate classification when compared to the one produced by the product rule. In this paper, we investigate the use of the Generalized Minimum-based (G-Min) algorithm that has been recently suggested as an alternative to the minimum operator for combining possibilistic estimates. The main objective is to enhance the quality of decision within minimum-based possibilistic classifiers for numerical data. Experimental evaluations are conducted on 15 numerical datasets taken from University of California Irvine (UCI) and show that using the G-Min algorithm largely improves the classification accuracy within minimum-based NPC as well as minimum-based FNPC.
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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. Reliab. 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)
Baati, K., Hamdani, T.M., Alimi, A.M., Abraham, A.: A modified Naïve possibilistic classifier for numerical data. In: Proceedings of the 16th International Conference on Intelligent Systems Design and Applications. Springer (2016)
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., 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 Naïve possibilistic classifiers with uncertain inputs. In: Proceedings of the 2nd International Conference on Scalable Uncertainty Management (SUM). LNAI, pp. 63–77. Springer (2008)
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)
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 Naïve 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)
Geiger, D., Heckerman, D.: Learning Gaussian networks. In: Proceedings of the Tenth International Conference on Uncertainty in Artificial Intelligence, pp. 235–243. Morgan Kaufmann Publishers Inc. (1994)
John, G.H., Langley, P.: Estimating continuous distributions in Bayesian classifiers. In: Proceedings of the 11th Conference on Uncertainty in Artificial Intelligence, pp. 338–345. Morgan Kaufmann Publishers Inc. (1995)
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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. (2018). Decision Quality Enhancement in Minimum-Based Possibilistic Classification for Numerical Data. In: Abraham, A., Cherukuri, A., Madureira, A., Muda, A. (eds) Proceedings of the Eighth International Conference on Soft Computing and Pattern Recognition (SoCPaR 2016). SoCPaR 2016. Advances in Intelligent Systems and Computing, vol 614. Springer, Cham. https://doi.org/10.1007/978-3-319-60618-7_62
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DOI: https://doi.org/10.1007/978-3-319-60618-7_62
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