A new tool to analyze partially ordered sets application: Ranking of polychlorinated biphenyls and alkanes/alkenes in river Main, Germany

Match

Volumn 66, Issue 1, 2011, Pages 231-251

  Bruggemann, Rainer ^a   Voigt, Kristina ^b  

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

^b INSTITUTE OF EPIDEMIOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80155214098     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (43)

1. P. Annoni, R. Bruggemann, The dualistic approach of FCA: A further insight into Ontario Lake sediments, Chemosphere 70 (2008) 2025-2031. (Pubitemid 351191681)
2. P. Annoni, R. Bruggemann, Exploring partial order of European countries, Soc. Indicators Res. 92 (2009) 471-487.
3. H. G. Bartel, Formalbegriffsanalytische Untersuchung ausgewählter Aromatizitätskriterien, MATCH Commun. Math. Comput. Chem 30 (1994) 9-35.
4. H. G. Bartel, J. Mucha, Personal communication, publication to be submitted to Match in preparation, 2010.
5. R. Bruggemann, S. Trapp, Release and fate modelling of highly volatile solvents in the river Main, Chemosphere 17 (1988) 2029-2041.
6. R. Bruggemann, S. Trapp, M. Matthies, Behavior assessment for a volatile chemical in the middle and lower German part of the Rhine river, Envir. Tox. Chem. 10 (1991) 1097-1103.
7. R. Bruggemann, S. Pudenz, K. Voigt, A. Kaune, K. Kreimes, An algebraic/graphical tool to compare ecosystems with respect to their pollution. IV: Comparative regional analysis by Boolean arithmetics, Chemosphere 38 (1999) 2263-2279. (Pubitemid 29099652)
8. R. Bruggemann, J. Schwaiger, R. D. Negele, Applying Hasse diagram technique for the evaluation of toxicological fish tests, Chemosphere 30 (1995) 1767-1780.
9. R. Bruggemann, E. Halfon, G. Welzl, K. Voigt, C. Steinberg, Applying the concept of partially ordered sets on the ranking of near-shore sediments by a battery of tests, J. Chem. Inf. Comp. Sct. 41 (2001) 918-925.
10. R. Bruggemann, U. Drescher-Kaden, Einführung in die modellgestützte Bewertung von Umweltchemikalien - Datenabschätzung, Ausbreitung, Verhalten, Wirkung und Bewertung, Springer-Verlag, Berlin, 2003.
11. R. Bruggemann, U. Simon, S. Mey, Estimation of averaged ranks by extended local partial order models, MA TCH Commun. Math. Comput. Chem. 54 (2005) 489-518. (Pubitemid 43066904)
12. R. Bruggemann, G. Restrepo, K. Voigt, Structure - fate relationships of organic chemicals derived from the software packages E4CHEM and WHASSE, J. Chem. Inf. Model. 46 (2006) 894-902.
13. R. Bruggemann, K. Voigt, Basic principles of Hasse diagram technique in chemistry, Comb. Chem. & High Throughput Screen. 11 (2008) 756-769.
14. R. Bruggemann, K. Voigt, G. Restrepo, U. Simon, The concept of stability fields and hot spots in ranking of environmental chemicals, J Environ. Model. & Soft. 23 (2008) 1000-1012.
15. R. Bruggemann, K. Voigt, Analysis of partial orders in environmental systems applying the new software PyHasse, in: J. Wittmann, M. Flechsig (Eds), Simulation in Umwelt-und Geowissenschaften-Workshop Potsdam 2009, Shaker-Verlag, Aachen, 2009, pp. 43-55.
16. R. Bruggemann, G. P. Patil, Multicriteria prioritization and partial order in environmental sciences, Environ. Ecol. Stat., in press.
17. R. Bruggemann, L. Carlsen, An improved estimation of averaged ranks of partial orders, MATCH Commun. Math. Comput. Chem. 65 (2011) 383-414.
18. L. Carlsen, B. N. Kenessov, S. B. Batyrbekova, A QSAR/QSTR study on the human health impact of the rocket fuel 1, 1-dimethylhydrazine and its transformation products. Multicriteria hazard ranking based on partial order methodologies, Environ. Tox. Pharm. 27 (2009) 415-423.
19. L. Carlsen, Partial order ranking of organophosphates with special emphasis on nerve agents, MATCH Commun. Math. Comput. Chem. 54 (2005) 519-534. (Pubitemid 43066905)
20. L. Carlsen, R. Bruggemann, Partial order ranking as a tool in environmental impact assessment. PAH and PCB pollution of the river Main as an illustrative example, in: G. T. Halley, Y. T. Fridian (Eds.), Environmental Impact Assessment, Nova Science Publishers, 2009, pp. 335-354.
21. L. Carlsen, The interplay between QSAR/QSPR studies and partial order ranking and formal concept analyses, Int. J. Mol. Sci. 10 (2009) 1628-1657.
22. C. Carpineto, G. Romano, Concept Data Analysis, Wiley, Chichester, 2004.
23. B. A. Davey, H. A. Priestley, Introduction to Lattices and Order, Cambridge Univ. Press, Cambridge, 1990.
24. B. Ganter, R. Wille, Formale Begriffsanalyse Mathematische Grundlagen. Springer-Verlag, Berlin, 1996.
25. B. G. Hansen, A. G. Van Haelst, K. Van Leeuwen, P. Van der Zandt, Priority setting for existing chemicals: European union risk ranking method, Environ. Tox. Chem. 18 (1999) 772-779.
26. S. Kardaetz, T. Strube, R. Bruggemann, G. Nützmann, Ecological scenarios analyzed and evaluated by a shallow lake model, J. Environ. Manag. 88 (2008) 120-135. (Pubitemid 351597870)
27. D. J. Klein, J. Brickmann, Partial orderings in chemistry, MATCH Commun. Math. Comput. Chem. 42 (2000) 1-290.
28. J. Neggers, H. S. Kim, Basic Posets, World Sci. Publish., Singapore, 1998.
29. A. Newman, Ranking pesticides by environmental impact, Environ. Sci. Technol. 29 (1995) 324A-326A.
30. G. P. Patil, C. Taillie, Multiple indicators, partially ordered sets, and linear extensions: Multi-criterion ranking and prioritization, Environ. Ecol. Stat. 11 (2004) 199-228. (Pubitemid 38865595)
31. S. Pudenz, ProRank - software for partial order ranking, MATCH Commun. Math. Comput. Chem. 54 (2005) 611-622. (Pubitemid 43066910)
32. G. Restrepo, R. Bruggemann, M. Weckert, S. Gerstmann, H. Frank, Ranking patterns, an application to refrigerants, MATCH Commun. Math. Comput. Chem. 59 (2008) 555-584.
33. U. Simon, R. Bruggemann, S. Mey, S. Pudenz, METEOR - application of a decision support tool based on discrete mathematics, MATCH Commun. Math. Comput. Chem. 54 (2005) 623-642. (Pubitemid 43066911)
34. P. B. Sørensen, R. Bruggemann, L. Carlsen, B. B. Mogensen, J. Kreuger, S. Pudenz, Analysis of monitoring data of pesticide residues in surface waters using partial order ranking theory, Envir. Tox. Chem. 22 (2003) 661-670. (Pubitemid 36231837)
35. W. T. Trotter, Combinatorics and Partially Ordered Sets Dimension Theory, The Johns Hopkins Univ. Press, Baltimore, 1992.
36. S. Tsakovski, V. Simeonov, Hasse diagrams as explanatory tool in environmental data mining: A case study, in: J. Owsinski, R. Bruggemann (Eds.) Multicriteria Ordering and Ranking: Partial Orders, Ambiguities and Applied Issues, Sys. Res. Inst. Polish Acad. Sci., Warsaw, 2007, pp. 50-68.
37. K. Voigt, G. Welzl, R. Bruggemann, Data analysis of environmental air pollutant monitoring systems in Europe, Environmetrics 15 (2004) 577-596.
38. K. Voigt, R. Bruggemann, Ranking of pharmaceuticals detected in the environment: Aggregation and weighting procedures, Combin. Chem. High Through. Screen. 11 (2008) 770-782.
39. K. Voigt, R. Bruggemann, M. Kirchner, K.-W. Schramm, Influence of altitude concerning the contamination of humus soils in the German Alps: a data evaluation approach using PyHasse, Environ. Sci. Pollut. Res. 17 (2010) 429-440.
40. K. Voigt, R. Bruggemann, H. Scherb, H. Shen, K. H. Schramm, Evaluating the relationship between chemical exposure and cryptorchidism by discrete mathematical method using PyHasse software, J Environ. Model. Soft. 25 (2010) 1801-1812.
41. F. A. M Verdonck, G. Boeije, V. Vandenberghe, M. Comber, W. de Wolf, T. C. J. Feijtel, M. Holt, V. Koch, A. Lecloux, A. Siebel-Sauer, P. A. Vanrolleghem, A rulebased screening environmental risk assessment tool derived from EUSES, Chemosphere 58 (2005) 1169-1176. (Pubitemid 40162299)
42. T. G Vermeire, P. T. J. van der Zandt, H. Roelfzema, C. J. van Leeuwen, Uniform system for the evaluation of substances I principles and structure, Chemosphere 29 (1994) 23-37.
43. R. Wille, Restructuring lattice theory: An approach based on hierarchies of concepts, in: I. Rival (Ed.), Ordered Sets, D. Reidel Publishing, Dordrecht, 1982, pp. 445-470.