Partial Order Theory has been recently more and more employed in applied science to overcome the intrinsic disadvantage hidden in linear ranking, if a multiple indicator system is available. Despite its numerous positive features, there are many practical cases where the interpretation of the partial order can be rather troublesome. In these cases the analysis of underlying dimensions could be useful to uncover partic- ular data structures. The paper shows a way of addressing the problem with the help of an actual case study, which deals with European opinions on services of general interest. In particular, an overall ranking of countries is firstly provided and then a method to detect dimensions is discussed and applied. The analysis stems directly from the Partially Order Set (poset) and Lattice theory with particular references to dimension theory and Formal Concept Analysis. The study is eventually able to pinpoint role and relevance of both di®erent services and different criteria in defining the partial order.

Exploring partial order of European countries / P. Annoni, R. Brüggemann. - [s.l] : null, 2007.

Exploring partial order of European countries

P. Annoni
Primo
;
2007

Abstract

Partial Order Theory has been recently more and more employed in applied science to overcome the intrinsic disadvantage hidden in linear ranking, if a multiple indicator system is available. Despite its numerous positive features, there are many practical cases where the interpretation of the partial order can be rather troublesome. In these cases the analysis of underlying dimensions could be useful to uncover partic- ular data structures. The paper shows a way of addressing the problem with the help of an actual case study, which deals with European opinions on services of general interest. In particular, an overall ranking of countries is firstly provided and then a method to detect dimensions is discussed and applied. The analysis stems directly from the Partially Order Set (poset) and Lattice theory with particular references to dimension theory and Formal Concept Analysis. The study is eventually able to pinpoint role and relevance of both di®erent services and different criteria in defining the partial order.
Hasse Diagrams ; Dimension Theory in Posets ; Planar Lattices ; Formal Concept Analysis ; Public Services
http://services.bepress.com/unimi/statistics/art25
Working Paper
Exploring partial order of European countries / P. Annoni, R. Brüggemann. - [s.l] : null, 2007.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/33902
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