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Order of Magnitude Qualitative Reasoning with Bidirectional Negligibility

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4177))

Abstract

In this paper, we enrich the logic of order of magnitude qualitative reasoning by means of a new notion of negligibility which has very useful properties with respect to operations of real numbers. A complete axiom system is presented for the proposed logic, and the new negligibility relation is compared with previous ones and its advantages are presented on the basis of an example.

Partially supported by Spanish project TIC2003-9001-C02-01.

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© 2006 Springer-Verlag Berlin Heidelberg

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Burrieza, A., Muñoz, E., Ojeda-Aciego, M. (2006). Order of Magnitude Qualitative Reasoning with Bidirectional Negligibility. In: Marín, R., Onaindía, E., Bugarín, A., Santos, J. (eds) Current Topics in Artificial Intelligence. CAEPIA 2005. Lecture Notes in Computer Science(), vol 4177. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881216_39

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  • DOI: https://doi.org/10.1007/11881216_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45914-9

  • Online ISBN: 978-3-540-45915-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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