Hasse Diagrams, Poset Theory and Fuzzy Poverty Measures
AbstractIt 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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Bibliographic InfoArticle provided by Vita e Pensiero, Pubblicazioni dell'Universita' Cattolica del Sacro Cuore in its journal Rivista Internazionale di Scienze Sociali.
Volume (Year): 116 (2008)
Issue (Month): 1 ()
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Multidimensional poverty measurement; Fuzzy approach; Partially ordered sets;
Find related papers by JEL classification:
- C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
- I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty
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