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Social Preferences Through Riesz Spaces: A First Approach

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Book cover Soft Computing Applications for Group Decision-making and Consensus Modeling

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 357))

Abstract

In this paper we propose Riesz spaces as general framework in the context of pairwise comparison matrices, to deal with definable properties, real situations and aggregation of preferences. Some significant examples are presented to describe how properties of Riesz spaces can be used to express preferences. Riesz spaces allow us to combine the advantages of many approaches. We also provide a characterization of collective choice rules which satisfy some classical criteria in social choice theory and an abstract approach to social welfare functions.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy

    Antonio Di Nola & Gaetano Vitale

  2. Department of Law, Economics, Management and Quantitative Methods, University of Sannio, Piazza Guerrazzi, 1, 82100, Benevento, BN, Italy

    Massimo Squillante

Authors
  1. Antonio Di Nola
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  2. Massimo Squillante
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  3. Gaetano Vitale
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Corresponding author

Correspondence to Gaetano Vitale .

Editor information

Editors and Affiliations

  1. School of Business and Management, Lappeenranta University of Technology, Lappeenranta, Finland

    Mikael Collan

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Di Nola, A., Squillante, M., Vitale, G. (2018). Social Preferences Through Riesz Spaces: A First Approach . In: Collan, M., Kacprzyk, J. (eds) Soft Computing Applications for Group Decision-making and Consensus Modeling. Studies in Fuzziness and Soft Computing, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-319-60207-3_8

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  • DOI: https://doi.org/10.1007/978-3-319-60207-3_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60206-6

  • Online ISBN: 978-3-319-60207-3

  • eBook Packages: EngineeringEngineering (R0)

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