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A Quantitative Analysis of Preclusivity vs. Similarity Based Rough Approximations

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2475))

Abstract

In the context of generalized rough sets, it is possible to introduce in an Information System two different rough approximations. These are induced, respectively, by a Similarity and a Preclusivity relation ([3,4]). It is possible to show that the last one is always better than the first one. Here, we present a quantitative analysis of the relative performances of the two different approximations. The most important conclusion is that preclusive and similar approximation consistently differ when there is a low quality of approximation.

This work has been supported by MIURCOFIN project “Formal Languages and Automata: Theory and Application”.

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© 2002 Springer-Verlag Berlin Heidelberg

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Cattaneo, G., Ciucci, D. (2002). A Quantitative Analysis of Preclusivity vs. Similarity Based Rough Approximations. In: Alpigini, J.J., Peters, J.F., Skowron, A., Zhong, N. (eds) Rough Sets and Current Trends in Computing. RSCTC 2002. Lecture Notes in Computer Science(), vol 2475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45813-1_9

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  • DOI: https://doi.org/10.1007/3-540-45813-1_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44274-5

  • Online ISBN: 978-3-540-45813-5

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