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Partial Order Concepts in Ranking Environmental Chemicals

Authors
Brüggemann, Rainer (Leibniz-Institute of Freshwater Ecology and Inland Fisheries)
Search for Rainer Brüggemann in Research Programmes Information System
Voigt, Kristina (GSF-National Research Center for Environment and Health, Institute of Biomathematics and Biometry)
Search for Kristina Voigt in Research Programmes Information System
Sørensen, Peter B. (National Environmental Research Institute,Dep. Terrestrial Ecology)
Search for Peter B. Sørensen in Research Programmes Information System
De Baets, Bernard (Ghent University, Department of Applied Mathematics, Biometrics and Process Control)
Search for Bernard De Baets in Research Programmes Information System
Chapter Ranking Methods with the Emphasis on Partially Ordered Sets
Volume Environmental Informatics and Systems Research (Part 2)
Conference Environmental Informatics and Systems Research
Warschau, 2007
Year 2007
Abstract of the Article
With the discussion around REACH the interest in ranking of chemicals is increased. In this paper we take a statistical point of view in evaluation and ranking of chemicals. The data matrix with relevant properties of the chemicals plays the central role. Its evaluation is performed by simple concepts of partial order (Hasse diagram technique (HDT)). Several extensions are discussed: First the concept of METEOR (METhod of Evaluation by ORder Theory), then the approach by fuzzy concepts, combined with partial order, and finally the DLPO-concept (Double Layer Partial Orders). DLPO is a novel method where attributes are themselves combined by partial order. The main idea is to avoid the bias due to a functional combination of attributes (for example by weighted sums as in METEOR). Whereas HDT does not need any information beyond the data matrix, all other methods discussed so far, need additional knowledge.
Pages 169 - 175
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