An analysis of the ‘failed states index’ by partial order methodology

Journal of Social Structure

Volumn 14, Issue 1, 2013, Pages 1-31

  Carlsen, Lars ^a,b   Brüggemann, Rainer ^c  

^a Awareness Center Roskilde   (Denmark)

^b KAZAKH BRITISH TECHNICAL UNIVERSITY   (Kazakhstan)

^c LEIBNIZ INSTITUTE OF FRESHWATER ECOLOGY AND INLAND FISHERIES   (Germany)

Author keywords

Averaged ranks; Decision support tools; Indicator analyses; Multicriteria analyses; Partial order

Indexed keywords

EID: 84929669469     PISSN: 15291227     EISSN: None     Source Type: Journal    
DOI: 10.21307/joss-2019-025     Document Type: Article

References (48)

1. Annoni, P. (2007). “Different Ranking Methods: Potentialities and Pitfalls for the Case of European Opinion Poll.” Environmental and Ecological Statistics 14: 453-471.
2. Annoni, P. and R. Brüggemann (2008). “The Dualistic Approach of FCA: A Further Insight into Ontario Lake Sediments.” Chemosphere 70: 2025-2031.
3. Annoni, P., R. Brüggemann and A. Saltelli (2011). “Partial Order Investigation of Multiple Indicator Systems using Variance-based Sensitivity Analysis.” Environmental Modelling & Software 26: 950-958.
4. Birkhoff, G. (1984). Lattice Theory. American Mathematical Society Colloquium Publications 25: Providence, RI.
5. Brans, J. P. and Vincke, P. H. (1985). “A Preference Ranking Organisation Method (The PROMETHEE Method for Multiple Criteria Decision-Making).” Management Science 31: 647-656.
6. Brüggemann, R. and K. Voigt (1995). “An Evaluation of Online Databases by Methods of Lattice Theory.” Chemosphere 31: 3585-3594.
7. Brüggemann, R., E. Halfon, G. Welzl, K. Voigt and C. Steinberg (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.
8. Brüggemann, R., P. B. Sørensen, D. Lerche and L. Carlsen (2004). “Estimation of Averaged Ranks by a Local Partial Order Model.” Journal of Chemical Information and Computer Sciences 44: 618-625.
9. Brüggemann, R. and K. Voigt (2008). “Basic Principles of Hasse Diagram Technique in Chemistry.” Combinatorial Chemistry & High Throughput Screening 11: 756-769.
10. Brüggemann, R., A. Kerber, and G. Restrepo (2011). “Ranking Objects Using Fuzzy Orders, with an Application to Refrigerants.” MATCH: Communications in Mathematical and in Computer Chemistry 66, 581-603.
11. Brüggemann, R. and K. Voigt (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.
12. Brüggemann, R. and L. Carlsen (2011). “An Improved Estimation of Averaged Ranks of Partially Orders. MATCH: Communications in Mathematical and in Computer Chemistry 65: 383-414.
13. Brüggemann, R. and G. P. Patil (2011). Ranking and Prioritization for Multi-indicator Systems: Introduction to Partial Order Applications. New York: Springer.
14. Bubley, R. and M. Dyer (1999). “Faster Random Generation of Linear Extensions.” Discrete Mathematics 201: 81-88.
15. Davey, B. A. and H. A. Priestley (1990). Introduction to Lattices and Order. Cambridge: Cambridge University Press.
16. De Baets, B. and H. De Meyer (2003). “On the Existence and Construction of T-Transitive Closures.” Information Sciences 152: 167-179.
17. De Loof, K., B. De Baets, and H. De Meyer (2011). “Approximation of Average Ranks in Posets.” MATCH: Communications in Mathematical and in Computer Chemistry 66: 219-229.
18. De Loof, K., M. Rademaker, R. Brüggemann, H. De Meyer, G. Restrepo and B. De Baets (2012). “Order Theoretical Tools to Support Risk Assessment of Chemicals.” MATCH: Communications in Mathematical and in Computer Chemistry 67: 213-230.
19. De Meyer, H., H. Naessens and B. De Baets (2004). “Algorithms for Computing the Min-Transitive Closure and Associated Partition Tree of a Symmetric Fuzzy Relation.” European Journal of Operational Research 155: 226-238.
20. Denecke, K., M. Erne, and S. L. Wismath (2004). Galois Connections and Applications. Dordrecht: Kluwer Academic Publishers.
21. Denoeux, T., M.-H. Masson, and P.-A. Hébert (2005). “Nonparametric Rank-Based Statistics and Significance Tests for Fuzzy Data.” Fuzzy Sets and Systems 153: 1-28.
22. De Nooy, W., A. Mrvar and V. Batagelj (2009). Explanatory Social Networks with Pajek. Cambridge: Cambridge University Press.
23. FFP (2013a). The Failed States Index 2011, http://ffp.statesindex.org/rankings-2011-sortable (accessed October 2013).
24. FFP (2013b). The Fund for Peace, http://global.fundforpeace.org/index.php (accessed October 2013).
25. FFP (2013c). The Indicators, http://ffp.statesindex.org/indicators (accessed October 2013).
26. Gansner, E. R. and S. C. North (1999). “An Open Graph Visualization System and Its Applications to Software Engineering.” Software: Practice and Experience 00(S1): 1-5.
27. Ganter, B. and R. Wille (1996). Formale Begriffsanalyse Mathematische Grundlagen. Berlin: Springer-Verlag.
28. Halfon, E. and M. G. Reggiani (1986). “On Ranking Chemicals for Environmental Hazard.” Environmental Science & Technology 20: 1173-1179.
29. Hasse, H. (1967). Vorlesungen über Klassenkörpertheorie. Marburg: Physica-Verlag.
30. Klöpffer, W. (1998). “Subjectivity is Not Arbitrary.” International Journal of Life Cycle Assessment 3, 61-62.
31. Lerche, D., P. B. Sørensen and R. Brüggemann (2003). “Improved Estimation of the Ranking Probabilities in Partial Orders using Random Linear Extensions by Approximation of the Mutual Ranking Probability.” Journal of Chemical Information and Computer Sciences 43: 1471-1480.
32. Mucha, H.-J., H.-G. Bartel and J. Dolata (2005). “Techniques of Rearrangements in Binary Trees (Dendrograms) and Applications.” MATCH: Communications in Mathematical and in Computer Chemistry 54: 561-582.
33. Munda, G. (2008). Social Multi-Criteria Evaluation for a Sustainable Economy. Berlin: Springer-Verlag.
34. Naimzada A. K., S. Stefani and A. Torriero (2009). Networks, Topology and Dynamics: Theory and Applications to Economics and Social Systems. Berlin: Springer.
35. Patil, G. P. and C. Taillie (1982). “Diversity as a Concept and Its Measurement.” Journal of the American Statistical Association 77: 548-561.
36. Patil, G. P. (2002). “Diversity Profiles.” In A. El-Shaarawi and W. W. Piegorsch (eds.), Encyclopedia of Environmetrics. John Wiley & Sons (UK), 555-561.
37. R Core Team (2012). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, http://www.R-project.org (accessed October 2013).
38. Ruch, E. (1975). “The Diagram Lattice as Structural Principle.” Theoretica Chimica Acta 38: 167-183.
39. Sailaukhanuly, Y., A. Zhakupbekova, F. Amutova and L. Carlsen (2013). On the Ranking of Chemicals Based on their PBT Characteristics: Comparison of Different Ranking Methodologies Using Selected POPs as an Illustrative Example.” Chemosphere 90: 112-117.
40. Sugiyama, K., S. Tagawa and M. Toda (1981). “Methods for Visual Understanding of Hierarchical System Structures.” IEEE Transactions on Systems, Man and Cybernetics 11: 109-125.
41. Van de Walle, B., B. De Baets and K. C. Kersebaum (1995). “Fuzzy Multi-Criteria Analysis of Cutting Techniques in a Nuclear Dismantling Project.” Fuzzy Sets and Systems 74: 115-126.
42. Voigt, K., R. Brüggemann, H. Scherb, H. Shen and K.-H. Schramm (2010). Evaluating the Relationship Between Chemical Exposure and Cryptorchidism.” Environmental Modelling & Software 25: 1801-1812.
43. Warfield, J. N. (1973). “On Arranging Elements of a Hierarchy in Graphic Form.” IEEE Transactions on Systems, Man and Cybernetics 3: 121-132.
44. Warfield, J. N. (1974a). “Toward Interpretation of Complex Structural Models.” IEEE Transactions on Systems, Man and Cybernetics 4: 405-417.
45. Warfield, J. N. (1974b). “Developing Interconnection Matrices in Structural Models.” IEEE Transactions on Systems, Man and Cybernetics 4: 81-87.
46. Wieland, R. and R. Brüggemann (2013). “Hasse Diagram Technique and Monte Carlo Simulations.” MATCH: Communications in Mathematical and in Computer Chemistry 70: 45-59.
47. Winkler, P. (1982). “Average Height in a Partially Ordered Set.” Discrete Mathematics 39: 337-341.
48. Wolski, M. (2004). “Galois Connection and Data Analysis.” Fundamenta Informaticae 60: 401-415.