Marco Fattore
Libri dell'autore
A multi-criteria fuzzy approach for analyzing poverty structure
Gratis
digital
formato:
Articolo
| STATISTICA & APPLICAZIONI - 2011 - Special issue. Partial orders in applied sciences


Anno:
2011
Poverty is a fuzzy and complex phenomenon which is intrinsically multidimensional. First attempts
of tackling poverty with multidimensional measures trace back to the seventies with the conceptual
writings on income poverty by Amartya Sen (1976). Since then much research has been devoted to
answer questions of the type: (i) Who is poor? (ii) How poor is a poor? The measure of poverty
and social exclusion is certainly a key point in poverty description. While much effort has been put
in the last decades to the measurement of poverty, less attention has been paid to find relations
among different poverty aspects. In this paper, we start from a classical definition of the population
of the poor and we employ Fuzzy Multi-Criteria Analysis to provide an attempt to relate poverty aspects to one another, which we call a ‘structural representation of poverty’. Our focus is on the pattern of implications existing among different descriptors characterizing poverty aspects. We show how fuzzy relation theory and partially ordered set techniques are effective in representing complex relational structures and provide new insights into multidimensional poverty. As simple test cases the method is applied to data concerning two Italian regions based on EU-SILC database 2004.
Keywords: Multidimensional Poverty, Multi-criteria Analysis, Poverty Structure, Ordinal Variables, Posets, Fuzzy Quasi-order Relations.
Socio-economic evaluation with ordinal variables: integrating counting and poset approaches
Gratis
digital
formato:
Articolo
| STATISTICA & APPLICAZIONI - 2011 - Special issue. Partial orders in applied sciences


Anno:
2011
The evaluation of material deprivation, quality of life and well-being very often requires to deal with multidimensional systems of ordinal variables, rather than with classical numerical datasets. This poses new statistical and methodological challenges, since classical evaluation tools are not designed to deal with this kind of data. The mainstream evaluation methodologies generally follow a counting approach, as in a recent proposal by Alkire and Foster pertaining to the evaluation of
multidimensional poverty. Counting procedures are inspired by the composite indicator approach
and share similar drawbacks with it, computing aggregated indicators that may be poorly reliable.
A recent and alternative proposal is to address the ordinal evaluation problem through partial order
theory which provides tools that prove more consistent with the discrete nature of the data. The
goal of the present paper is thus to introduce the two proposals, showing how the evaluation methodology based on partial order theory can be integrated in the counting approach of Alkire and Foster.
Keywords: Partial Order theory, Counting Approach, Evaluation, Material Deprivation, Quality of
Life
Hasse Diagrams, Poset Theory and Fuzzy Poverty Measures
digital

formato:
Articolo
| RIVISTA INTERNAZIONALE DI SCIENZE SOCIALI - 2008 - 1


Anno:
2008
It is generally agreed that poverty cannot be faithfully represented by a single monetary measure.
Poverty involves many different aspects of life, and people can be poor in different ways, to different
degrees and from several points of view. For this reason, fuzzy multidimensional indicators have
been proposed to measure material deprivation. However, the statistical procedures used to build
such indicators do not seem to be fully consistent. In this paper we show how partially ordered set
theory can help overcome such consistency problems, providing a sound basis for a multidimensional
and fuzzy analysis of poverty. In particular, we propose new criteria for defining fuzzy poverty
membership functions and give a fuzzy generalization of the notion of quantile, which may
prove useful when analyzing and comparing poverty data.
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