Social Indicators Research

, Volume 141, Issue 2, pp 551–579 | Cite as

Multidimensional Analysis of Deprivation and Fragility Patterns of Migrants in Lombardy, Using Partially Ordered Sets and Self-Organizing Maps

  • Alberto ArcagniEmail author
  • Elisa Barbiano di Belgiojoso
  • Marco Fattore
  • Stefania M. L. Rimoldi


In this paper, we present a multidimensional fuzzy analysis of the levels and the patterns of poverty and social fragility of migrants’ families, in the Italian region of Lombardy, in year 2014. Migrants’ poverty emerges as a complex trait, better described as a stratification of nuanced patterns than in black and white terms; Lombard migrants are in fact affected, to different extents, by “a diffused sharing of deprivation facets” and cannot be trivially split into deprived and non-deprived. The paper employs innovative data analysis tools from the Theory of Partially Ordered Sets; compared to mainstream monetary approaches, this leads to more realistic estimates of poverty diffusion and eliminates some well-known biases of standard evaluation procedures, providing strong support to the use of partial order concepts and tools in social evaluation studies.


Fuzzy poverty Multidimensional deprivation Migrants Partially ordered set Social fragility 


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© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Statistics and Quantitative MethodsUniversity of Milano-BicoccaMilanItaly

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