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Exploring Partial Order of European Countries

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  • Paola Annoni
  • Rainer Brüggemann

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 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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  • Paola Annoni & Rainer Brüggemann, 2009. "Exploring Partial Order of European Countries," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 92(3), pages 471-487, July.
    • Handle: RePEc:spr:soinre:v:92:y:2009:i:3:p:471-487
    DOI: 10.1007/s11205-008-9298-4
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    1. 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.
    2. 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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    4. Alberto Arcagni & Elisa Barbiano di Belgiojoso & Marco Fattore & Stefania M. L. Rimoldi, 2019. "Multidimensional Analysis of Deprivation and Fragility Patterns of Migrants in Lombardy, Using Partially Ordered Sets and Self-Organizing Maps," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 141(2), pages 551-579, January.
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    11. Gary Kleinman & Chu‐hua Kuei & Picheng Lee, 2017. "Using Formal Concept Analysis to Examine Water Disclosure in Corporate Social Responsibility Reports," Corporate Social Responsibility and Environmental Management, John Wiley & Sons, vol. 24(4), pages 341-356, July.
    12. Leonardo Salvatore Alaimo & Alberto Arcagni & Marco Fattore & Filomena Maggino, 2021. "Synthesis of Multi-indicator System Over Time: A Poset-based Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 157(1), pages 77-99, August.
    13. Alaimo, Leonardo Salvatore & Ivaldi, Enrico & Landi, Stefano & Maggino, Filomena, 2022. "Measuring and evaluating socio-economic inequality in small areas: An application to the urban units of the Municipality of Genoa," Socio-Economic Planning Sciences, Elsevier, vol. 83(C).
    14. Tugce Beycan & B. P. Vani & Rainer Bruggemann & Christian Suter, 2019. "Ranking Karnataka Districts by the Multidimensional Poverty Index (MPI) and by Applying Simple Elements of Partial Order Theory," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 143(1), pages 173-200, May.
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