Partial Order Concepts in Applied Sciences (eBook)

Marco Fattore, Degree in Theoretical Physics, Ph. D in Statistics, Assistant Professor in Applied Statistics, Department of Statistics and Quantitative Methods, University of Milano-Bicocca. His main research interests pertain to mathematical structures in data analysis, with a particular focus on Partial Order Theory and the measurement of multidimensional poverty and inequality. He also works on Big Data analysis and applied multivariate statistics in socio-economics.Rainer Brüggemann has studied chemistry in the Ludwig-Maximilians University Munich (LMU) and received his PhD at LMU, in quantum chemistry.After a time as post doc working about spectroscopical issues he joined a group, performing risk assessment studies with respect to nuclear waste disposal sites (Technical University in Berlin). Position in the Helmholtz-Center Munich (former: GSF - National Research Center for Environment and Health). There he was one of the authors of the evaluation software code for chemicals "E4CHEM". Leibniz-Institute of Freshwater Ecology and Inland Fisheries, Berlin. Together with Prof. Steinberg an award concerning their work in limnologyNow, retired, he is working mainly about partial order and its applications.

Part I.Theoretical and methodological advances.- 1.Endowing posets with flesh: if, why and how?.- 2.Incomparability/inequality measures and clustering.- 3.Incomparable – what now, IV. Incomparabilities - a modeling challenge.- 4.Partial Ordering and Metrology Analyzing Analytical Performance.- 5.Functionals and synthetic indicators over finite posets.-6.Evaluation, considered as problem orientable mathematics over lattices.- 7.A combined lexicographic-average rank approach for evaluating uncertain multi-indicator matrices with risk metrics.- Part II.Partial Order Theory in socio-economic sciences.- 8.Peculiarities in multidimensional regional poverty.- 9.Application of Partial Order Theory to Multidimensional Poverty Analysis in Switzerland.- 10.Analysis of social participation: a multidimensional approach based on the theory of partial ordering.- 11.POSET analysis of panel data with POSAC.- 12.Partially Ordered Set Theory and Sen’s capability approach: a fruitful relationship.- Part III.Partial Order Theory in environmental sciences.- 13.Ranking Chemicals with Respect to Accidents Frequency.- 14.Formal Concept Analysis applications in chemistry: from radionuclides and molecular structure to toxicity and diagnosis.- 15.Partial Order Analysis of the government dependence of  the  Sustainable  Development  Performance  in Germany´s Federal States.- Part IV.New applications of Partial Order Theory.- 16.A matching problem, partial order and an analysis applying the Copeland index.- 17.Application of the Mixing Partial Order to Genes.- 18.Analysing ethnopharmacological data matrices on traditional uses of medicinal plants with the contribution of Partial Order Techniques.- Part V.Software developments.- 19.PARSEC: An R package for partial orders in socio-economics.- 20.PyHasse and cloud computing.div>