Uncertainty in Weights for Composite Indicators Generated by Weighted Sums
61
References
Annoni, P., Bruggemann, R., & Carlsen, L. (2014). A multidimensional view on poverty in the
European Union by partial order theory. Journal of Applied Statistics, 42, 535–554.
Bartel, H.-G., & Mucha, H.-J. (2014). Measures of incomparabilities and of inequality and their
application. In R. Bruggemann, L. Carlsen, & J. Wittmann (Eds.), Multi-indicator systems and
modelling in partial order (pp. 47–67). New York: Springer.
Brans, J. P., & Vincke, P. H. (1985). A preference ranking organisation method (the PROMETHEE
method for multiple criteria decision – Making). Management Science, 31, 647–656.
Bruggemann, R., & Carlsen, L. (2014a). Incomparable-what now? MATCH Communications in
Mathematical and in Computer Chemistry, 71, 699–714.
Bruggemann, R., & Carlsen, L. (2014b). Incomparable: What now II? Absorption of incomparabilities by a cluster method. Quality & Quantity, 49, 1633–1645.
Bruggemann, R., & Carlsen, L. (2015). Incomparable – What now III. Incomparabilities, elucidated by a simple version of ELECTRE III and a fuzzy partial order approach. MATCH
Communications in Mathematical and in Computer Chemistry, 73, 277–302.
Bruggemann, R., & Carlsen, L. (2017). Incomparable: What now, IV. Incomparabilities: A
modelling challenge. In M. Fattore & R. Bruggemann (Eds.), Partial order concepts in applied
sciences (pp. 35–47). Cham: Springer.
Bruggemann, R., & Carlsen, L. (2018). Partial order and inclusion of stakeholder’s knowledge.
MATCH Communications in Mathematical and in Computer Chemistry, 80, 769–791.
Bruggemann, R., & Halfon, E. (2000). Introduction to the general principles of partial order
ranking theory. In P. B. Sørensen, L. Carlsen, B. B. Mogensen, R. Bruggemann, B. Luther,
S. Pudenz, U. Simon, E. Halfon, T. Bittner, K. Voigt, G. Welzl, & F. Rediske (Eds.), Order
theoretical tools in environmental sciences – Proceedings of the Second Workshop, October
21st, 1999 in Roskilde, Denmark (pp. 7–43). Roskilde: National Environmental Research
Institute.
Bruggemann, R., & Patil, G. P. (2011). Ranking and prioritization for multi-indicator systems –
Introduction to partial order applications. New York: Springer.
Bruggemann, R., & Voigt, K. (2011). A new tool to analyze partially ordered sets. Application:
Ranking of polychlorinated biphenyls and alkanes/alkenes in river Main, Germany. MATCH
Communications in Mathematical and in Computer Chemistry, 66, 231–251.
Bruggemann, R., & Voigt, K. (2012). Antichains in partial order, example: Pollution in a German
region by lead, cadmium, zinc and sulfur in the herb layer. MATCH Communications in
Mathematical and in Computer Chemistry, 67, 731–744.
Bruggemann, 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 Sciences, 41, 918–925.
Bruggemann, R., Voigt, K., & Pudenz, S. (2008a). Partial ordering and Hasse diagrams: Applications in chemistry and software. In M. Pavan & R. Todeschini (Eds.), Data handling in science
and technology (Vol. 27, pp. 73–95). Amsterdam: Elsevier B.V.
Bruggemann, R., Voigt, K., Restrepo, G., & Simon, U. (2008b). The concept of stability fields and
hot spots in ranking of environmental chemicals. Environmental Modelling & Software, 23,
1000–1012.
Bruggemann, R., Kerber, A., & Restrepo, G. (2011). Ranking objects using fuzzy orders, with
an application to refrigerants. MATCH Communications in Mathematical and in Computer
Chemistry, 66, 581–603.
Bruggemann, R., Restrepo, G., & Voigt, K. (2012). Weighting intervals and ranking, exemplified by
leaching potential of pesticides. MATCH Communications in Mathematical and in Computer
Chemistry, 69, 413–432.
Bruggemann, R., Restrepo, G., Voigt, K., & Annoni, P. (2013). Weighting intervals and ranking.
Exemplified by leaching potential of pesticides. MATCH Communications in Mathematical and
in Computer Chemistry, 69, 413–432.
61
References
Annoni, P., Bruggemann, R., & Carlsen, L. (2014). A multidimensional view on poverty in the
European Union by partial order theory. Journal of Applied Statistics, 42, 535–554.
Bartel, H.-G., & Mucha, H.-J. (2014). Measures of incomparabilities and of inequality and their
application. In R. Bruggemann, L. Carlsen, & J. Wittmann (Eds.), Multi-indicator systems and
modelling in partial order (pp. 47–67). New York: Springer.
Brans, J. P., & Vincke, P. H. (1985). A preference ranking organisation method (the PROMETHEE
method for multiple criteria decision – Making). Management Science, 31, 647–656.
Bruggemann, R., & Carlsen, L. (2014a). Incomparable-what now? MATCH Communications in
Mathematical and in Computer Chemistry, 71, 699–714.
Bruggemann, R., & Carlsen, L. (2014b). Incomparable: What now II? Absorption of incomparabilities by a cluster method. Quality & Quantity, 49, 1633–1645.
Bruggemann, R., & Carlsen, L. (2015). Incomparable – What now III. Incomparabilities, elucidated by a simple version of ELECTRE III and a fuzzy partial order approach. MATCH
Communications in Mathematical and in Computer Chemistry, 73, 277–302.
Bruggemann, R., & Carlsen, L. (2017). Incomparable: What now, IV. Incomparabilities: A
modelling challenge. In M. Fattore & R. Bruggemann (Eds.), Partial order concepts in applied
sciences (pp. 35–47). Cham: Springer.
Bruggemann, R., & Carlsen, L. (2018). Partial order and inclusion of stakeholder’s knowledge.
MATCH Communications in Mathematical and in Computer Chemistry, 80, 769–791.
Bruggemann, R., & Halfon, E. (2000). Introduction to the general principles of partial order
ranking theory. In P. B. Sørensen, L. Carlsen, B. B. Mogensen, R. Bruggemann, B. Luther,
S. Pudenz, U. Simon, E. Halfon, T. Bittner, K. Voigt, G. Welzl, & F. Rediske (Eds.), Order
theoretical tools in environmental sciences – Proceedings of the Second Workshop, October
21st, 1999 in Roskilde, Denmark (pp. 7–43). Roskilde: National Environmental Research
Institute.
Bruggemann, R., & Patil, G. P. (2011). Ranking and prioritization for multi-indicator systems –
Introduction to partial order applications. New York: Springer.
Bruggemann, R., & Voigt, K. (2011). A new tool to analyze partially ordered sets. Application:
Ranking of polychlorinated biphenyls and alkanes/alkenes in river Main, Germany. MATCH
Communications in Mathematical and in Computer Chemistry, 66, 231–251.
Bruggemann, R., & Voigt, K. (2012). Antichains in partial order, example: Pollution in a German
region by lead, cadmium, zinc and sulfur in the herb layer. MATCH Communications in
Mathematical and in Computer Chemistry, 67, 731–744.
Bruggemann, 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 Sciences, 41, 918–925.
Bruggemann, R., Voigt, K., & Pudenz, S. (2008a). Partial ordering and Hasse diagrams: Applications in chemistry and software. In M. Pavan & R. Todeschini (Eds.), Data handling in science
and technology (Vol. 27, pp. 73–95). Amsterdam: Elsevier B.V.
Bruggemann, R., Voigt, K., Restrepo, G., & Simon, U. (2008b). The concept of stability fields and
hot spots in ranking of environmental chemicals. Environmental Modelling & Software, 23,
1000–1012.
Bruggemann, R., Kerber, A., & Restrepo, G. (2011). Ranking objects using fuzzy orders, with
an application to refrigerants. MATCH Communications in Mathematical and in Computer
Chemistry, 66, 581–603.
Bruggemann, R., Restrepo, G., & Voigt, K. (2012). Weighting intervals and ranking, exemplified by
leaching potential of pesticides. MATCH Communications in Mathematical and in Computer
Chemistry, 69, 413–432.
Bruggemann, R., Restrepo, G., Voigt, K., & Annoni, P. (2013). Weighting intervals and ranking.
Exemplified by leaching potential of pesticides. MATCH Communications in Mathematical and
in Computer Chemistry, 69, 413–432.