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Approximation of Fuzzy Measures Using Second Order Measures: Estimation of Andness Bounds

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Book cover Fuzzy Logic and Applications (WILF 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8256))

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Abstract

In this paper we analyze the compensation property of a second order fuzzy measure in the context of a multi-attribute problem. In particular, we show that the disjunction/conjunction behavior (andness/orness) changes with the number of criteria to be aggregated. Interpreting the spread between the maximum and the minimum orness as a measure of the representation capability, we obtain two bounds in function of which asymptotically converge to a limit interval.

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Author information

Authors and Affiliations

  1. Department of Economics, University Cá Foscari of Venice, Italy

    Marta Cardin & Silvio Giove

Authors
  1. Marta Cardin
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  2. Silvio Giove
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Editor information

Editors and Affiliations

  1. DIBRIS, University of Genoa, Via Dodecaneso 35, 16146, Genoa, Italy

    Francesco Masulli

  2. Dept. of Informatics, Systems, and Communication, University of Milano Bicocca, Viale Sarca 336, 20126, Milan, Italy

    Gabriella Pasi

  3. Dept. of Information Systems, Iona College, 710 North Ave, 10801, New Rochelle, NY, USA

    Ronald Yager

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© 2013 Springer International Publishing Switzerland

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Cardin, M., Giove, S. (2013). Approximation of Fuzzy Measures Using Second Order Measures: Estimation of Andness Bounds. In: Masulli, F., Pasi, G., Yager, R. (eds) Fuzzy Logic and Applications. WILF 2013. Lecture Notes in Computer Science(), vol 8256. Springer, Cham. https://doi.org/10.1007/978-3-319-03200-9_16

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  • DOI: https://doi.org/10.1007/978-3-319-03200-9_16

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03199-6

  • Online ISBN: 978-3-319-03200-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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