Partial order concepts in applied sciences

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....

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Bibliographic Details
Other Authors Fattore, Marco (Editor), Bruggemann, Rainer (Editor)
Format Electronic eBook
LanguageEnglish
Published Cham, Switzerland : Springer, 2017.
Subjects
Online AccessFull text
ISBN9783319454214
9783319454191
Physical Description1 online resource : illustrations

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Table of Contents:
  • 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 Germanyþs 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>.