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Information Aggregation: Ethical and Computational Issues

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Fuzzy Set Theory and Advanced Mathematical Applications

Part of the book series: International Series in Intelligent Technologies ((ISIT,volume 4))

Abstract

In this paper we survey on aggregation operators and in particular hierarchies of them. As a case study, we will analyze the problems of the aggregation of truth values of fuzzy predicates and the aggregation of individual opinions into a single group opinion, based upon hierarchical intensity aggregation rules. We will see that hierarchical amalgamations are supported from an ethical and rational point of view. Two different hierarchical procedures will be recalled: cover-based hierarchical aggregations and ordered hierarchical aggregations.

Finally we will see that when we deal with ordered hierarchical aggregations of OWA operators, some interesting computational problems appear quite naturally. Such problem admit polynomial time solutions.

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, University of Catania, Catania, Italy

    Vincenzo Cutello & Javier Montero

  2. Dept. of Statistics and OR, Complutense University, Madrid, Spain

    Javier Montero

Authors
  1. Vincenzo Cutello
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  2. Javier Montero
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Editor information

Editors and Affiliations

  1. Belgian Nuclear Research Centre (SCK · CEN), Mol, Belgium

    Da Ruan

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© 1995 Springer Science+Business Media New York

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Cutello, V., Montero, J. (1995). Information Aggregation: Ethical and Computational Issues. In: Ruan, D. (eds) Fuzzy Set Theory and Advanced Mathematical Applications. International Series in Intelligent Technologies, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2357-4_7

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  • DOI: https://doi.org/10.1007/978-1-4615-2357-4_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6000-1

  • Online ISBN: 978-1-4615-2357-4

  • eBook Packages: Springer Book Archive

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