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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
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 ()
Contact details of provider:
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 and Poverty - - - Measurement and Analysis of Poverty
You can help add them by filling out this form.
reading list or among the top items on IDEAS.Access and download statisticsgeneral information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Vep - Vita e Pensiero).
If references are entirely missing, you can add them using this form.