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Soft Computing Applications for Group Decision-making and Consensus Modeling pp 71–85Cite as

The Binomial Decomposition of the Single Parameter Family of GB Welfare Functions

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

Abstract

We consider the binomial decomposition of generalized Gini welfare functions in terms of the binomial welfare functions \(C_j\), \(j=1,\ldots ,n\) and we examine the weighting structure of the binomial welfare functions \(C_j\), \(j=1,\ldots ,n\) which progressively focus on the poorest part of the population. We introduce a parametric family of income distributions and we illustrate the numerical behavior of the single parameter family of GB welfare functions with respect to those income distributions. Moreover, we investigate the binomial decomposition of the GB welfare functions and we illustrate the dependence of the binomial decomposition coefficients in relation with the single parameter which describes the family.

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Authors and Affiliations

  1. Department of Economics and Management, University of Trento, Via Inama, 5, 38122, Trento, Italy

    Silvia Bortot, Ricardo Alberto Marques Pereira & Anastasia Stamatopoulou

Authors
  1. Silvia Bortot
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  2. Ricardo Alberto Marques Pereira
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  3. Anastasia Stamatopoulou
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Correspondence to Silvia Bortot .

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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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Bortot, S., Marques Pereira, R.A., Stamatopoulou, A. (2018). The Binomial Decomposition of the Single Parameter Family of GB Welfare Functions. 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_5

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  • DOI: https://doi.org/10.1007/978-3-319-60207-3_5

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