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Über dieses Buch

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.

Inhaltsverzeichnis

Frontmatter

Theoretical and Methodological Advances

Frontmatter

2017 | OriginalPaper | Buchkapitel

Endowing Posets with Flesh: If, Why and How?

Jan W. Owsiński

2017 | OriginalPaper | Buchkapitel

Incomparability/Inequality Measures and Clustering

Hans-Georg Bartel, Hans-Joachim Mucha

2017 | OriginalPaper | Buchkapitel

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

Rainer Bruggemann, Lars Carlsen, Paola Annoni

2017 | OriginalPaper | Buchkapitel

Partial Ordering and Metrology Analyzing Analytical Performance

Lars Carlsen, Rainer Bruggemann

2017 | OriginalPaper | Buchkapitel

Functionals and Synthetic Indicators Over Finite Posets

Marco Fattore

2017 | OriginalPaper | Buchkapitel

Evaluation, Considered as Problem Orientable Mathematics Over Lattices

Adalbert Kerber

2017 | OriginalPaper | Buchkapitel

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

Elvis Hernández-Perdomo, Johnathan Mun, Claudio M. Rocco

Partial Order Theory in Socio-economic Sciences

Frontmatter

2017 | OriginalPaper | Buchkapitel

Peculiarities in Multidimensional Regional Poverty

Paola Annoni, Rainer Bruggemann, Lars Carlsen

2017 | OriginalPaper | Buchkapitel

Application of Partial Order Theory to Multidimensional Poverty Analysis in Switzerland

Tugce Beycan, Christian Suter

2017 | OriginalPaper | Buchkapitel

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

Stefania Della Queva

2017 | OriginalPaper | Buchkapitel

POSET Analysis of Panel Data with POSAC

Enrico di Bella, Matteo Corsi, Lucia Leporatti

2017 | OriginalPaper | Buchkapitel

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

Giulio Guarini

Partial Order Theory in Environmental Sciences

Frontmatter

2017 | OriginalPaper | Buchkapitel

Ranking Chemicals with Respect to Accidents Frequency

Ghanima Al-Sharrah

2017 | OriginalPaper | Buchkapitel

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

Nancy Y. Quintero, Guillermo Restrepo

2017 | OriginalPaper | Buchkapitel

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

New Applications of Partial Order Theory

Frontmatter

2017 | OriginalPaper | Buchkapitel

A Matching Problem, Partial Order, and an Analysis Applying the Copeland Index

Rainer Bruggemann, Peter Koppatz, Frauke Fuhrmann, Margit Scholl

2017 | OriginalPaper | Buchkapitel

Application of the Mixing Partial Order to Genes

William Seitz, Krunoslav Brčić-Kostić, Petar T. Mitrikeski, Patricia Seitz

2017 | OriginalPaper | Buchkapitel

Analyzing Ethnopharmacological Data Matrices on Traditional Uses of Medicinal Plants with the Contribution of Partial Order Techniques

Stergios Pirintsos, Michael Bariotakis, Danae Laina, Christos Lionis, Elias Castanas, Rainer Bruggemann

Software Developments

Frontmatter

2017 | OriginalPaper | Buchkapitel

PARSEC: An R Package for Partial Orders in Socio-Economics

Alberto Arcagni

2017 | OriginalPaper | Buchkapitel

≫PyHasse≪ and Cloud Computing

❖ Partial Order Concepts in Applied Sciences ❖
Peter Koppatz, Rainer Bruggemann

Backmatter

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