Exploring partial order of European countries
AbstractPartial 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 particular 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 different services and different criteria in defining the partial order.
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Bibliographic InfoPaper provided by Universitá degli Studi di Milano in its series UNIMI - Research Papers in Economics, Business, and Statistics with number unimi-1056.
Date of creation: 09 May 2007
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Hasse Diagrams; Dimension Theory in Posets; Planar Lattices; Formal Concept Analysis;
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- Sendhil Mullainathan & Marianne Bertrand, 2001. "Do People Mean What They Say? Implications for Subjective Survey Data," American Economic Review, American Economic Association, vol. 91(2), pages 67-72, May.
- Vincke, Ph., 1999. "Robust and neutral methods for aggregating preferences into an outranking relation," European Journal of Operational Research, Elsevier, vol. 112(2), pages 405-412, January.
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