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Towards a Fuzzy Extension of the López de Mántaras Distance

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Advances on Computational Intelligence (IPMU 2012)

Abstract

In this paper we introduce FLM, a divergence measure to compare a fuzzy and a crisp partition. This measure is an extension of LM, the López de Mántaras distance. This extension allows to handle domain objects having attributes with continuous values. This means that for some domains the use of fuzzy sets may report better results than the discretization that is the usual way to deal with continuous values. We experimented with both FLM and LM in the context of the lazy learning method called Lazy Induction of Descriptions useful for classification tasks.

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Armengol, E., Dellunde, P., García-Cerdaña, À. (2012). Towards a Fuzzy Extension of the López de Mántaras Distance. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances on Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 297. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31709-5_9

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  • DOI: https://doi.org/10.1007/978-3-642-31709-5_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31708-8

  • Online ISBN: 978-3-642-31709-5

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