Multi-indicator Systems and Modelling in Partial Order

Front Matter....Pages i-xix
Front Matter....Pages 1-2
Evaluation as a General Approach to Problem Driven Mathematical Modeling....Pages 3-11
Multivariate Datasets for Inference of Order: Some Considerations and Explorations....Pages 13-45
Measures of Incomparability and of Inequality and Their Applications....Pages 47-67
Measuring Structural Dissimilarity Between Finite Partial Orders....Pages 69-84
Quantifying Complexity of Partially Ordered Sets....Pages 85-103
Front Matter....Pages 105-105
Comparative Knowledge Discovery with Partial Orders and Composite Indicators: Multi-indicator Systemic Ranking, Advocacy, and Reconciliation....Pages 107-146
A Software Platform Towards a Comparison of Cars: A Case Study for Handling Ratio-Based Decisions....Pages 147-164
Front Matter....Pages 165-165
Coordination of Contrariety and Ambiguity in Comparative Compositional Contexts: Balance of Normalized Definitive Status in Multi-indicator Systems....Pages 167-196
Partial Orders in Socio-economics: A Practical Challenge for Poset Theorists or a Cultural Challenge for Social Scientists?....Pages 197-214
Front Matter....Pages 215-215
Ranking Hazardous Chemicals with a Heuristic Approach to Reduce Isolated Objects in Hasse Diagrams....Pages 217-235
Hasse Diagram Technique Can Further Improve the Interpretation of Results in Multielemental Large-Scale Biomonitoring Studies of Atmospheric Metal Pollution....Pages 237-251
Application of Partial Orders and Hasse Matrices in Ranking Contaminated Sites....Pages 253-274
Evaluating Ranking Robustness in Multi-indicator Uncertain Matrices: An Application Based on Simulation and Global Sensitivity Analysis....Pages 275-292
Hasse Diagram Technique Contributions to Environmental Risk Assessment....Pages 293-313
Front Matter....Pages 315-315
PARSEC: An R Package for Poset-Based Evaluation of Multidimensional Poverty....Pages 317-330
Higher Order Indicator with Rank-Related Clustering in Multi-indicator Systems....Pages 331-341
PyHasse Software Features Applied on the Evaluation of Chemicals in Human Breast Milk Samples in Turkey....Pages 343-357
Indicator Analyses: What Is Important—and for What?....Pages 359-387
PyHasse Software for Partial Order Analysis: Scientific Background and Description of Selected Modules....Pages 389-423
Back Matter....Pages 425-437