Abstract
The paper presents an algorithm based on Inductive Logic Programming for inducing first order Horn clauses involving fuzzy predicates from a database. For this, a probabilistic processing of fuzzy function is used, in agreement with the handling of probabilities in first order logic. This technique is illustrated on an experimental application. The interest of learning fuzzy first order logic expressions is emphasized.
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References
F. Bacchus. Representing and Reasoning With Probabilistic Knowledge. MIT press, 1990.
P. Bosc, D. Dubois, O. Pivert, H. Prade, and M. de Calmes. Fuzzy sumarisation of data using fuzzy cardinalities. In Proc. Inter. Conf. Information Processing and Management of Uncertainty in Knowledge-based Systems (IPMU 2002), pages 1553–1559, Annecy-France, July 2002.
B. Bouchon-Meunier and C. Marsala. Learning fuzzy decision rules, chapter 4 in. Fuzzy Sets in Approximate Reasoning and Information Systems, (J.C. Bezdek, D. Dubois, H. Prade, eds.), The Handbooks of Fuzzy Sets Series. Kluwer Academic Publishers, 1999, 279–304.
D. Dubois, S. Moral, and H. Prade. A semantics for possibility theory based on likelihoods. J. of Math. Analysis and Applications, 205:359–380, 1997.
D. Dubois and H. Prade. Fuzzy sets, probability and measurement. Europ. J. of Operational Research, 40:135–154, 1989.
D. Dubois and H. Prade. Modelling uncertain and vague knowledge in possibility and evidence theories, pages 303–318. Uncertainty in Artificial Inelligenge 4, (D.R. Shachter, T.S. Levitt, L.N. Kanal, J.F. Lemmer, eds.). North-Holland, 1990.
J. Halpern. An analysis of first-order logics of probability. Artificial Intelligence, 46:310–355, 1990.
E. Hüllermeier. Implication-based fuzzy association rules. In L. De Raedt and A. Siebes, editors, Proceedings PKDD-01, 5th Conference on Principles and Pratice of Knowledge Discovery in Databases, number 2168 in LNAI, pages 241–252, September 2001.
S. Muggleton. Inverse entailment and Progol. New Generation Computing, 13:245–286, 1995.
D. Nauck and R. Kruse. Neuro-fuzzy methods in fuzzy rule generation, chapter 5 in. Fuzzy Sets in Approximate Reasoning and Information Systems, (J.C. Bezdek, D. Dubois, H. Prade, eds.), The Handbooks of Fuzzy Sets Series. Kluwer Academic Publishers, 1999, 305–334.
S-H Nienhuys-Cheng and R. deWolf. Foundations of Inductive Logic Programming. Number 1228 in LNAI. Springer, 1997.
J. R. Quinlan. Induction of decision trees. Machine Learning, 1(1):81–106, 1986.
J. R. Quinlan. Learning logical definitions from relations. Machine Learning, 5:239–266, 1990.
J. R. Quinlan. Knowledge acquisition from structured data. IEEE Expert, 6(6):32–37, 1991.
B.L. Richards and R.J. Mooney. Learning relations by pathfinding. In Proc. of the AAAI conference, pages 50–55, San Jose, 1992. AAAI Press.
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Prade, H., Richard, G., Serrurier, M. (2003). Learning First Order Fuzzy Logic Rules. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_84
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DOI: https://doi.org/10.1007/3-540-44967-1_84
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