Part I Theory
1 Evaluation as a General Approach to Problem Driven
Mathematical Modeling ........................................ 3
Adalbert Kerber
2 Multivariate Datasets for Inference of Order: Some
Considerations and Explorations ............................. 13
Ganapati P. Patil, Wayne L. Myers, and Rainer Brüggemann
3 Measures of Incomparability and of Inequality
and Their Applications ...................................... 47
Hans-Georg Bartel and Hans-Joachim Mucha
4 Measuring Structural Dissimilarity Between Finite
Partial Orders .............................................. 69
Marco Fattore, Rosanna Grassi, and Alberto Arcagni
5 Quantifying Complexity of Partially Ordered Sets ............ 85
Guillermo Restrepo
Part II Partial Order as Tool to Analyse Composite Indicators
6 Comparative Knowledge Discovery with Partial Orders
and Composite Indicators: Multi-indicator Systemic
Ranking, Advocacy, and Reconciliation ...................... 107
Ganapati R. Patil and S.W. Joshi
7 A Software Platform Towards a Comparison of Cars: A Case
Study for Handling Ratio-Based Decisions ................... 147
Jochen Wittmann and Rainer Brüggemann
Part III New Trends in Partial Order
8 Coordination of Contrariety and Ambiguity in Comparative
Compositional Contexts: Balance of Normalized Definitive
Status in Multi-indicator Systems .......................... 167
Wayne L. Myers and Ganapati P. Patil
9 Partial Orders in Socio-economics: A Practical Challenge
for Poset Theorists or a Cultural Challenge for Social
Scientists? ................................................ 197
Marco Fattore and Filomena Maggino
Part IV Applications
10 Ranking Hazardous Chemicals with a Heuristic Approach
to Reduce Isolated Objects in Hasse Diagrams ............... 217
Ghanima Al-Sharrah
11 Hasse Diagram Technique Can Further Improve the
Interpretation of Results in Multielemental Large-Scale
Biomonitoring Studies of Atmospheric
Metal Pollution ............................................ 237
Stergios Pirintsos, Michael Bariotakis, Vaios Kalogrias,
Stella Katsogianni, and Rainer Brüggemann
12 Application of Partial Orders and Hasse Matrices
in Ranking Contaminated Sites .............................. 253
Ron J. Thiessen and Gopal Achari
13 Evaluating Ranking Robustness in Multi-indicator
Uncertain Matrices: An Application Based on Simulation
and Global Sensitivity Analysis ............................ 275
Claudio M. Rocco and Stefano Tarantola
14 Hasse Diagram Technique Contributions to Environmental
Risk Assessment ............................................ 293
Stefan Tsakovski and Vasil Simeonov
Part V Software Aspects
15 PARSEC: An R Package for Poset-Based Evaluation
of Multidimensional Poverty ................................ 317
Marco Fattore and Alberto Arcagni
16 Higher Order Indicator with Rank-Related Clustering
in Multi-indicator Systems ................................. 331
Wayne L. Myers and Ganapati P. Patil
17 PyHasse Software Features Applied on the Evaluation
of Chemicals in Human Breast Milk Samples in Turkey ........ 343
Kristina Voigt, Rainer Brüggemann, Hagen Scherb, Ismet
Соk, Birgül Mazmanci, M. Ali Mazmanci, Cafer Turgut, and
Karl-Werner Schramm
18 Indicator Analyses: What Is Important—and for What? ........ 359
Lars Carlsen and Rainer Brüggemann
19 PyHasse Software for Partial Order Analysis:
Scientific Background and Description of Selected Modules .. 389
Rainer Brüggemann, Lars Carlsen, Kristina Voigt, and Ralf
Wieland
Index ......................................................... 425
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