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Consensus for Decomposable Measures

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Consensus Under Fuzziness

Part of the book series: International Series in Intelligent Technologies ((ISIT,volume 10))

Abstract

In this paper we extend some previous works on the consensus of probabilities, possibilities and homogeneous families of decomposable measures. First, we show that the eventwise aggregation of different types of decomposable measures can be meaningful if and only if the underlying t-conorms belong to the same equivalence class of a naturally defined equivalence relation. Then we give weighted forms of consensus functions for such t-conorm-based decomposable measures. As a consequence, we obtain that the unanimity condition can be preserved only if all the considered t-conorms are the same.

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© 1997 Springer Science+Business Media New York

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Fodor, J., Dubois, D., Prade, H., Roubens, M. (1997). Consensus for Decomposable Measures. In: Kacprzyk, J., Nurmi, H., Fedrizzi, M. (eds) Consensus Under Fuzziness. International Series in Intelligent Technologies, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6333-4_11

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  • DOI: https://doi.org/10.1007/978-1-4615-6333-4_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7908-9

  • Online ISBN: 978-1-4615-6333-4

  • eBook Packages: Springer Book Archive

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