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 2004.
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References
Brüggemann, R., Halfon, E., Welzl, G., Voigt, K., & Steinberg C. (2001). Applying the concept of partially ordered sets on the ranking of near-shore sediments by a battery of tests. Journal of Chemical Information and Computer Science, 41, 918–925.
Bubley, R., & Dyer, M. (1999). Faster random generation of linear extensions. Discrete mathematics, 201, 81–88.
Cerioli, A., & Zani, S. (1990). A fuzzy approach to the measurement of poverty. In C. Dagum, & M. Zenga (Eds.), Income and wealth distribution, inequality and poverty(pp. 272–284). Berlino Heidelberg: Springer-Verlag.
Cheung, K. S. K., & Vogel, D. (2005). Complexity reduction in lattice-based information retrieval, information retrieval.Information Retrieval, 8, 285–299.
Davey, B. A., & Priestley B. H. (2002).Introduction to lattices and order. Cambridge: Cambridge University Press.
Lemmi, A., & Betti, G. (2006). Fuzzy set approach to multidimensional poverty measurement. New York: Springer.
Neggers, J., & Kim, H. S. (1988).Basic posets. Singapore: World Scientific.
Sen, A. K. (1992). Inequality reexamined. Oxford: Clarendon Press.
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© 2011 Springer-Verlag Berlin Heidelberg
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Fattore, M., Brüggemann, R., Owsiński, J. (2011). Using Poset Theory to Compare Fuzzy Multidimensional Material Deprivation Across Regions. In: Ingrassia, S., Rocci, R., Vichi, M. (eds) New Perspectives in Statistical Modeling and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11363-5_6
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DOI: https://doi.org/10.1007/978-3-642-11363-5_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11362-8
Online ISBN: 978-3-642-11363-5
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