Abstract
Starting from the generic pattern of the Generalized Modus Ponens, we develop an efficient yet expressive quantitative model of approximate reasoning that tries to combine “the best of different worlds”; following a recent trend, we make a distinction between positive or observed (“guaranteed”) fuzzy rules on one hand, and negative or restricting ones on the other hand, which allows to mend some persistent misunderstandings about classical inference methods. To reduce algorithm complexity, we propose inclusion–based reasoning, which at the same time offers an efficient way to approximate “exact” reasoning methods, as well as an attractive implementation to the concept of reasoning by analogy.
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Bouchon–Meunier, B., Dubois, D., Godo, L., Prade, H.: Fuzzy Sets and Possibility Theory in Approximate and Plausible Reasoning. In: Fuzzy sets in approximate reasoning and information systems, pp. 15–190. Kluwer Academic Publishers, Dordrecht (1999)
Cornelis, C.: Two–sidedness in the Representation and Processing of Imprecise Information (in Dutch). In: Ph.D.thesis, Ghent University
Cornelis, C., Kerre, E.E.: Inclusion-Based Approximate Reasoning. In: Alexandrov, V.N., Dongarra, J., Juliano, B.A., Renner, R.S., Tan, C.J.K. (eds.) ICCS-ComputSci 2001. LNCS, vol. 2074, pp. 221–230. Springer, Heidelberg (2001)
Dubois, D., Prade, H., Ughetto, L.: A New Perspective on Reasoning with Fuzzy Rules. International Journal of Intelligent Systems 18(5), 541–563 (2003)
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© 2004 Springer-Verlag Berlin Heidelberg
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Cornelis, C., De Cock, M., Kerre, E. (2004). Efficient Approximate Reasoning with Positive and Negative Information. In: Negoita, M.G., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2004. Lecture Notes in Computer Science(), vol 3214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30133-2_102
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DOI: https://doi.org/10.1007/978-3-540-30133-2_102
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23206-3
Online ISBN: 978-3-540-30133-2
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