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Brüggemann, R.* ; Voigt, K.

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

Match-Commun. Math. Comput. Chem. 66, 231-251 (2011)
Partial order renders a helpful tool in many ranking problems. Especially when multiindicator systems come into play, the product order as a special order relation is an adequate mathematical structure. A typical outcome of partial order analysis are the chains, where the values of the indicators are weak monotonously increasing. However, one also finds in partial order analysis incomparable elements. In this paper we suggest the construction of a special type of a binary relation, a tripartite graph. By means of the tripartite graph the role of indicators causing incomparabilities can be clarified. Furthermore, quantities derived from tripartite graphs help to decide whether or not the sets of incomparable elements are topologically connected. Hence, tripartite graphs enlighten the interpretation of complex data sets.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Korrespondenzautor
Schlagwörter partial order, discrete mathematics, Hasse diagram technique, ranking, environmental chemicals
ISSN (print) / ISBN 0340-6253
e-ISSN 0340-6253
Zeitschrift MATCH Communications in Mathematical and in Computer Chemistry
Quellenangaben Band: 66, Heft: 1, Seiten: 231-251 Artikelnummer: , Supplement: ,
Verlag University of Kragujevac
Verlagsort Kragujevac, Serbia
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Biomathematics and Biometry (IBB)