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Partial Order Concepts in Applied Sciences

  • Book
  • © 2017

Overview

Editors:
  1. Marco Fattore

    1. Department of Statistics and Quantitative Methods, University of Milan “Milano-Biccoca”, Milan, Italy

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  2. Rainer Bruggemann

    1. Leibniz—Institute of Freshwater Ecology and Inland Fisheries, Berlin, Germany

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    You can also search for this editor in PubMed   Google Scholar

  • Features an innovative and state-of-the-art book on applied Partial Order Theory
  • Includes applications and examples from several research fields, from multi-criteria decision-making, to socio-economic and environmental sciences
  • A section is devoted to software packages for the analysis of partially ordered data

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-xi
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  2. Theoretical and Methodological Advances

    1. Front Matter

      Pages 1-1
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    2. Endowing Posets with Flesh: If, Why and How?

      • Jan W. Owsiński
      Pages 3-20

    3. Incomparability/Inequality Measures and Clustering

      • Hans-Georg Bartel, Hans-Joachim Mucha
      Pages 21-34

    4. Incomparable: What Now, IV. Incomparabilities: A Modeling Challenge

      • Rainer Bruggemann, Lars Carlsen, Paola Annoni
      Pages 35-47

    5. Partial Ordering and Metrology Analyzing Analytical Performance

      • Lars Carlsen, Rainer Bruggemann
      Pages 49-70

    6. Functionals and Synthetic Indicators Over Finite Posets

      • Marco Fattore
      Pages 71-86

    7. Evaluation, Considered as Problem Orientable Mathematics Over Lattices

      • Adalbert Kerber
      Pages 87-103

    8. A Combined Lexicographic Average Rank Approach for Evaluating Uncertain Multi-indicator Matrices with Risk Metrics

      • Elvis Hernández-Perdomo, Johnathan Mun, Claudio M. Rocco
      Pages 105-118

  3. Partial Order Theory in Socio-economic Sciences

    1. Front Matter

      Pages 119-119
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    2. Peculiarities in Multidimensional Regional Poverty

      • Paola Annoni, Rainer Bruggemann, Lars Carlsen
      Pages 121-133

    3. Application of Partial Order Theory to Multidimensional Poverty Analysis in Switzerland

      • Tugce Beycan, Christian Suter
      Pages 135-150

    4. Analysis of Social Participation: A Multidimensional Approach Based on the Theory of Partial Ordering

      • Stefania Della Queva
      Pages 151-160

    5. POSET Analysis of Panel Data with POSAC

      • Enrico di Bella, Matteo Corsi, Lucia Leporatti
      Pages 161-176

    6. Partially Ordered Set Theory and Sen’s Capability Approach: A Fruitful Relationship

      • Giulio Guarini
      Pages 177-189

  4. Partial Order Theory in Environmental Sciences

    1. Front Matter

      Pages 191-191
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    2. Ranking Chemicals with Respect to Accidents Frequency

      • Ghanima Al-Sharrah
      Pages 193-205

    3. Formal Concept Analysis Applications in Chemistry: From Radionuclides and Molecular Structure to Toxicity and Diagnosis

      • Nancy Y. Quintero, Guillermo Restrepo
      Pages 207-217

    4. Partial Order Analysis of the Government Dependence of the Sustainable Development Performance in Germany’s Federal States

      • Alexander Hilckmann, Vanessa Bach, Rainer Bruggemann, Robert Ackermann, Matthias Finkbeiner
      Pages 219-228

  5. New Applications of Partial Order Theory

    1. Front Matter

      Pages 229-229
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Keywords

About this book

TThis book illustrates recent advances in applications of partial order theory and Hasse diagram techniques to data analysis, mainly in the socio-economic and environmental sciences. For years, partial order theory has been considered a fundamental branch of mathematics of only theoretical interest. In recent years, its effectiveness as a tool for data analysis is increasingly being realized and many applications of partially ordered sets to real problems in statistics and applied sciences have appeared. Main examples pertain to the analysis of complex and multidimensional systems of ordinal data and to problems of multi-criteria decision making, so relevant in social and environmental sciences. 

Partial Order Concepts in Applied Sciences presents new theoretical and methodological developments in partial order for data analysis, together with a wide range of applications to different topics: multidimensional poverty, economic development, inequality measurement, ecology and pollution, and biology, to mention a few. The book is of interest for applied mathematicians, statisticians, social scientists, environmental scientists and all those aiming at keeping pace with innovation in this interesting, growing and promising research field.




Editors and Affiliations

  • Department of Statistics and Quantitative Methods, University of Milan “Milano-Biccoca”, Milan, Italy

    Marco Fattore

  • Leibniz—Institute of Freshwater Ecology and Inland Fisheries, Berlin, Germany

    Rainer Bruggemann

About the editors

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 limnology
Now, retired, he is working mainly about partial order and its applications.



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