Partial Order Concepts in Applied Sciences

  • Marco Fattore
  • Rainer Bruggemann

Table of contents

  1. Front Matter
    Pages i-xi
  2. Theoretical and Methodological Advances

    1. Front Matter
      Pages 1-1
    2. Jan W. Owsiński
      Pages 3-20
    3. Hans-Georg Bartel, Hans-Joachim Mucha
      Pages 21-34
    4. Rainer Bruggemann, Lars Carlsen, Paola Annoni
      Pages 35-47
    5. Lars Carlsen, Rainer Bruggemann
      Pages 49-70
  3. Partial Order Theory in Socio-economic Sciences

    1. Front Matter
      Pages 119-119
    2. Paola Annoni, Rainer Bruggemann, Lars Carlsen
      Pages 121-133
    3. Enrico di Bella, Matteo Corsi, Lucia Leporatti
      Pages 161-176
  4. Partial Order Theory in Environmental Sciences

    1. Front Matter
      Pages 191-191
    2. 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
    2. Rainer Bruggemann, Peter Koppatz, Frauke Fuhrmann, Margit Scholl
      Pages 231-238
    3. William Seitz, Krunoslav Brčić-Kostić, Petar T. Mitrikeski, Patricia Seitz
      Pages 239-249
    4. Stergios Pirintsos, Michael Bariotakis, Danae Laina, Christos Lionis, Elias Castanas, Rainer Bruggemann
      Pages 251-272
  6. Software Developments

    1. Front Matter
      Pages 273-273
    2. Peter Koppatz, Rainer Bruggemann
      Pages 291-300
  7. Back Matter
    Pages 301-307

About this book


This 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.


Hasse diagrams data analysis multi-criteria desicion making multi-indicator systems partial order

Editors and affiliations

  • Marco Fattore
    • 1
  • Rainer Bruggemann
    • 2
  1. 1.Department of Statistics and Quantitative MethodsUniversity of Milan “Milano-Biccoca”MilanItaly
  2. 2.Leibniz—Institute of Freshwater Ecology and Inland FisheriesBerlinGermany

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