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Incomparable: what now II? Absorption of incomparabilities by a cluster method

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  • Rainer Bruggemann
  • Lars Carlsen

Abstract

When newer compilations of decision support methods are examined, partial order methods as a central methodological aspect are rarely found. This is strange, since the role of multi-indicator systems is worldwide increasing. Multi-indicator systems induce in a natural manner partial orders. Why is partial order not seen as that important tool? The main reason appears to be that partially ordered sets are in general not completely ordered. There are incomparabilities, and incomparabilities do not lead to rankings. Thus, incomparabilities a priori hamper any decision. Approaching the decision from the need to get a unique ranking, it is clear that decision support systems aim toward deriving a one-dimensional scalar, by which a linear, i.e. a unique order can be derived. In the present paper an approach is selected to reduce the number of incomparabilities without losing the quality of insights, partially ordered sets allow. As an example economical relevant chemicals are studied. Copyright Springer Science+Business Media Dordrecht 2015

Suggested Citation

  • Rainer Bruggemann & Lars Carlsen, 2015. "Incomparable: what now II? Absorption of incomparabilities by a cluster method," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(4), pages 1633-1645, July.
  • Handle: RePEc:spr:qualqt:v:49:y:2015:i:4:p:1633-1645
    DOI: 10.1007/s11135-014-0076-x
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    References listed on IDEAS

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    1. Marco Fattore, 2007. "Hasse diagrams, poset theory and fuzzy poverty measure," Working Papers 20071104, Università degli Studi di Milano-Bicocca, Dipartimento di Statistica, revised Nov 2007.
    2. Marco Fattore, 2008. "Hasse Diagrams, Poset Theory and Fuzzy Poverty Measures," Rivista Internazionale di Scienze Sociali, Vita e Pensiero, Pubblicazioni dell'Universita' Cattolica del Sacro Cuore, vol. 116(1), pages 63-75.
    3. Paola Annoni & Marco Fattore & Rainer Brüggemann, 2008. "A multi-criteria fuzzy approach for analyzing poverty structure," UNIMI - Research Papers in Economics, Business, and Statistics unimi-1072, Universitá degli Studi di Milano.
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    Cited by:

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    2. Lars Carlsen, 2017. "An Alternative View on Distribution Keys for the Possible Relocation of Refugees in the European Union," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 130(3), pages 1147-1163, February.

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