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Multi-indicator Systems and Modelling in Partial Order

  • Book
  • © 2014

Overview

Editors:
  1. Rainer Brüggemann

    1. Leibniz-Institut für Gewässerökologie und Binnenfischerei, Berlin, Germany

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  2. Lars Carlsen

    1. Awareness-Center, Roskilde-Veddelev, Denmark

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    You can also search for this editor in PubMed   Google Scholar

  3. Jochen Wittmann

    1. HTW Berlin, University of Applied Sciences, Berlin, Germany

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  • Includes techniques to derive weak orders out of the data matrix with as few restrictions as possible
  • Analyzes incomparabilities as a topic of its own right, and as an aspect of increasing importance
  • Informs about recent developments in theory and in applications in the field of partial order
  • Includes supplementary material: sn.pub/extras

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xix
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  2. Theory

    1. Front Matter

      Pages 1-2
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    2. Evaluation as a General Approach to Problem Driven Mathematical Modeling

      • Adalbert Kerber
      Pages 3-11

    3. Multivariate Datasets for Inference of Order: Some Considerations and Explorations

      • Ganapati P. Patil, Wayne L. Myers, Rainer Brüggemann
      Pages 13-45

    4. Measures of Incomparability and of Inequality and Their Applications

      • Hans-Georg Bartel, Hans-Joachim Mucha
      Pages 47-67

    5. Measuring Structural Dissimilarity Between Finite Partial Orders

      • Marco Fattore, Rosanna Grassi, Alberto Arcagni
      Pages 69-84

    6. Quantifying Complexity of Partially Ordered Sets

      • Guillermo Restrepo
      Pages 85-103

  3. Partial Order as Tool to Analyse Composite Indicators

    1. Front Matter

      Pages 105-105
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    2. Comparative Knowledge Discovery with Partial Orders and Composite Indicators: Multi-indicator Systemic Ranking, Advocacy, and Reconciliation

      • Ganapati P. Patil, S. W. Joshi
      Pages 107-146

    3. A Software Platform Towards a Comparison of Cars: A Case Study for Handling Ratio-Based Decisions

      • Jochen Wittmann, Rainer Brüggemann
      Pages 147-164

  5. Applications

    1. Front Matter

      Pages 215-215
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    2. Ranking Hazardous Chemicals with a Heuristic Approach to Reduce Isolated Objects in Hasse Diagrams

      • Ghanima Al-Sharrah
      Pages 217-235

    3. Hasse Diagram Technique Can Further Improve the Interpretation of Results in Multielemental Large-Scale Biomonitoring Studies of Atmospheric Metal Pollution

      • Stergios Pirintsos, Michael Bariotakis, Vaios Kalogrias, Stella Katsogianni, Rainer Brüggemann
      Pages 237-251

    4. Application of Partial Orders and Hasse Matrices in Ranking Contaminated Sites

      • Ron J. Thiessen, Gopal Achari
      Pages 253-274

    5. Evaluating Ranking Robustness in Multi-indicator Uncertain Matrices: An Application Based on Simulation and Global Sensitivity Analysis

      • Claudio M. Rocco, Stefano Tarantola
      Pages 275-292

    6. Hasse Diagram Technique Contributions to Environmental Risk Assessment

      • Stefan Tsakovski, Vasil Simeonov
      Pages 293-313

  6. Software Aspects

    1. Front Matter

      Pages 315-315
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About this book

“Multi-indicator Systems and Modelling in Partial Order” contains the newest theoretical concepts as well as new applications or even applications, where standard multivariate statistics fail. Some of the presentations have their counterpart in the book; however, there are many contributions, which are completely new in the field of applied partial order.

Editors and Affiliations

  • Leibniz-Institut für Gewässerökologie und Binnenfischerei, Berlin, Germany

    Rainer Brüggemann

  • Awareness-Center, Roskilde-Veddelev, Denmark

    Lars Carlsen

  • HTW Berlin, University of Applied Sciences, Berlin, Germany

    Jochen Wittmann

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