Accumulating partial order ranking

Environmental Modelling and Software

Volumn 23, Issue 8, 2008, Pages 986-993

  Carlsen, Lars ^a   Bruggemann, Rainer ^b  

^a Awareness Center Roskilde   (Denmark)

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

Author keywords

Accumulating partial order ranking; Averaged rank; Hasse diagram; Linear extensions; Multi criteria analysis; PBT substances

Indexed keywords

DATA REDUCTION; PROBABILITY;

ACCUMULATING PARTIAL ORDER RANKING; AVERAGED RANK; HASSE DIAGRAM; LINEAR EXTENSIONS; MULTI-CRITERIA ANALYSIS; PBT SUBSTANCES;

PARAMETER ESTIMATION;

CHEMICAL POLLUTANT; LINEARITY; MULTICRITERIA ANALYSIS; NUMERICAL METHOD; NUMERICAL MODEL; PRIORITIZATION; RANKING;

EID: 41849103413     PISSN: 13648152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.envsoft.2007.12.001     Document Type: Article

References (40)

1. Brans J.P., and Vincke P.H. A preference ranking organisation method (The PROMETHEE method for multiple criteria decisions making). Manage. Sci. 31 (1985) 647-656
2. Bruggemann R., and Bartel H.-G. A Theoretical Concept to Rank Environmentally Significant Chemicals. J. Chem. Inf. Comp. Sc. 39 (1999) 211-217
3. In: Bruggemann R., and Carlsen L. (Eds). Partial Order in Environmental Sciences and Chemistry (2006), Springer, Berlin
4. Bruggemann, R., Halfon E., Bücherl, C., 1995. Theoretical Base of the Program "Hasse", GSF-Bericht 20/95, Neuherberg (GER).
5. Bruggemann R., Halfon E., Welzl G., Voigt K., and Steinberg C.E.W. Applying the concept of partially ordered sets on the ranking of near-shore sediments by a battery of tests. J. Chem. Inf. Comput. Sci. 41 (2001) 918-925
6. Bruggemann R., Lerche D., Sørensen P.B., and Carlsen L. Estimation of average ranks by a local partial order model. J. Chem. Inf. Comput. Sci. 44 (2004) 618-625
7. Bruggemann R., Simon U., and Mey S. Estimation of averaged ranks by extended local partial order models. Match Commun. Math. Comput. Chem. 5 (2005) 489-518
8. Bruggemann R., Restrepo G., and Voigt K. Structure-fate relationships of organic chemicals derived from the software packages E4CHEM and WHASSE. J. Chem. Inf. Model 46 (2006) 894-902
9. Bruggemann R., Voigt K., Restrepo G., and Simon U. The concept of stability fields and hot spots in ranking of environmental chemicals. Environ. Model. Software 23 (2008) 1000-1012
10. Bruggemann R., Voigt K., Sorensen P., and De Baets B. Partial order in ranking environmental chemicals. In: Hryniewicz O., Studzinski J., and Szediw A. (Eds). Environmental Informatics and Systems Research. Workshop and Application Papers vol. 2 (2007), Shaker Verlag, Aachen 169-175
11. Bubley R., and Dyer M.E. Faster random generation of linear extensionss. Proc. 9th Annu. ACM-SIAM Symp. on Discrete Algorithms (1998) 350-354 San Francisco, CA
12. Carlsen L. Giving molecules an identity. On the interplay between QSARs and partial order ranking Molecules 9 (2004) 1010-1018. http://www.mdpi.org/molecules/papers/91201010.pdf
13. Carlsen L. A QSAr approach to physico-chemical data for organophosphates with special focus on known and potential nerve agents. Internet Electron. J. Mol. Design. 4 (2005) 355-366. http://www.biochempress.com
14. Carlsen L. Partial order ranking of organophosphates with special emphasis on nerve agents. MATCH Commun. Math. Comput. Chem. 54 (2005) 519-534
15. De Baets B., and De Meyer H. On the existence and construction of T-transitive closures. Inf. Sci. 152 (2003) 167-179
16. DART, 2007. Decision Analysis by Ranking Techniques (version 1.0) developed by Talete srl (2007). Freely available from ECB website: http://ecb.jrc.it/qsar/.
17. De Loof K., De Baets B., and De Meyer H. On the random generation and counting of weak order extensions of a poset with given class cardinalities. Inf. Sci. 177 (2007) 220-230
18. Denzer R. Generic integration of environmental decision support systems-state of art. Environ. Model. Software 20 (2005) 1217-1223
19. EC, 2006. Regulation (EC) No. 1907/2006 of the European Parliament and of the Council of 18 December 2006 concerning the Registration, Evaluation, Authorisation and Restriction of Chemicals (REACH), establishing a European Chemicals Agency, amending Directive 1999/45/EC and repealing Council Regulation (EEC) No 793/93 and Commission Regulation (EC) No. 1488/94 as well as Council Directive 76/769/EEC and Commission Directives 91/155/EEC, 93/67/EEC, 93/105/EC and 2000/21/EC; Article 57d,e (http://eur-lex.europa.eu/LexUriServ/site/en/oj/2006/l_396/l_39620061230 en00010849.pdf; Accessed February 2007).
20. Eriksson L., Jaworsksa J., Worth A.P., Cronin M.T.D., McDowell R.M., and Gramatica P. Methods for reliability and uncertainty assessment and for applicability evaluations of classification- and regression-based QSARs. Environ Health Perspect 111 (2003) 1361-1375
21. Fishburn P.C. On the family of linear extensions of a partial order. J. Combinat. Theory 17 (1974) 240-243
22. Graham R.L. Linear extensions of partial orders and the FKG inequality. In: Rival I. (Ed). Ordered Sets (1982), Reidel, Dordrecht 213-236
23. Halfon E., and Reggiani M.G. On the ranking of chemicals for environmental hazard. Environ. Sci. Technol. 20 (1986) 1173-1179
24. Hasse H. Über die Klassenzahl abelscher Zahlkörper (1952), Akademie Verlag, Berlin
25. Koormann F., Rominger J., Schowanek D., Wagner J.-O., Schröder R., Wind T., Silvani M., and Whelan M.J. Modeling the fate of down-the-drain chemicals in rivers: An improved software for GREAT-ER. Environ. Model. Software 21 (2006) 925-936
26. Lerche D., Bruggemann R., Sørensen P., Carlsen L., and Nielsen O.J. A comparison of partial order technique with three methods of multi-criteria analysis for ranking of chemical substances. J. Chem. Inf. Comput. Sci. 42 (2002) 1086-1098
27. Lerche D., Sørensen P.B., and Bruggemann R. Improved estimation of ranking probabilities in partial orders using random linear extensions by approximation of the mutual ranking probability. J. Chem. Inf. Comput. Sci. 43 (2003) 1471-1480
28. Mysiak J., Giupponi C., and Rosato P. Towards the development of a decision support system for water resource management. Environ. Model. Software 20 (2005) 203-214
29. Pillmann W., Geiger W., and Voigt K. Survey of environmental informatics in Europe. Environ. Model. Software 21 (2006) 1519-1527
30. Saaty T.L. How to make a decision; The analytical Hierarchy process. Interfaces 24 (1994) 19-43
31. Schimack G. Environmental data management and monitoring system UWEDAT. Environ. Model. Software 18 (2003) 573-580
32. Simon U., Bruggemann R., Mey S., and Pudenz S. METEOR-application of a decision support tool based on discrete mathematics. MATCH Commun. Math. Comput. Chem. 54 (2005) 623-642
33. Sørensen P.B., Lerche D.B., Carlsen L., and Bruggemann R. Statistically approach for estimating the total set of linear orders. A possible way for analysing larger partial order sets. In: Bruggemann R., Pudenz S., and Lühr H.-P. (Eds). Order Theoretical Tools in Environmental Science and Decision Systems, Proceedings of the Workshop on Order Theoretical Tools in Environmental Science and Decision SystemsBerichte des IGB (2001), Leibniz-Institut of Freshwater Ecology and Inland Fisheries, Berlin, Heft 14, Sonderheft IV 87-97
34. Sørensen P.B., Thomsen M., Fauser P., and Münier B. The usefulness of a stochastic approach for multi-criteria selection. In: Hryniewicz O., Studzinski J., and Szediw A. (Eds). Environmental Informatics and Systems Research. Workshop and Application Papers vol. 2 (2007), Shaker Verlag, Aachen 187-194
35. Van de Walle B., De Baets B., and Kersebaum K.C. Fuzzy multi-criteria analysis of cutting techniques in a nuclear dismantling project. Fuzzy Sets Systems 74 (1995) 115-126
36. Voigt K., Bruggemann R., and Pudenz S. A multi-criteria evaluation of environmental databases using the Hasse Diagram Technique (ProRank) software. Environ. Model. Software 21 (2006) 1587-1597
37. Walker J.D., and Carlsen L. QSARs for Identifying and Prioritizing Substances with Persistence and Bioconcentration Potential. SAR QSAR Environ. Res. 13 (2002) 713-726
38. Walker J.D., Carlsen L., and Jaworska J. Improving opportunities for regulatory acceptance of QSARs: The importance of model domain, uncertainty, validity and predictability. QSAR Comb. Sci. 22 (2003) 346-350
39. Winkler P.M. Average height in a partially ordered set. Discrete Math. 39 (1982) 337-341
40. Winkler P.M. Correlation among partial orders. Siam. J. Alg. Disc. Meth. 4 (1983) 1-7