In this paper, a new approach to the fuzzy analysis of multidimensional material deprivation data is provided, based on partial order theory. The main feature of the methodology is that the information needed for the deprivation assessment is extracted directly from the relational structure of the dataset, avoiding any kind of scaling and aggregation procedure, so as to respect the ordinal nature of the data. An example based on real data is worked out, pertaining to material deprivation in Italy for the year 2004
Fattore, M., Brueggemann, R., Owsinski, J. (2011). Using poset theory to compare fuzzy multidimensional material deprivation across regions. In Ingrassia S, Rocci R, Vichi M (a cura di), New Perspectives in Statistical Modeling and Data Analysis (pp. 49-56). Springer-Verlag [10.1007/978-3-642-11363-5_6].
Using poset theory to compare fuzzy multidimensional material deprivation across regions
FATTORE, MARCO;
2011
Abstract
In this paper, a new approach to the fuzzy analysis of multidimensional material deprivation data is provided, based on partial order theory. The main feature of the methodology is that the information needed for the deprivation assessment is extracted directly from the relational structure of the dataset, avoiding any kind of scaling and aggregation procedure, so as to respect the ordinal nature of the data. An example based on real data is worked out, pertaining to material deprivation in Italy for the year 2004I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.