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Ranking and Prioritization for Multi-indicator Systems

Introduction to Partial Order Applications

  • Book
  • © 2011

Overview

Authors:
  1. Rainer Brüggemann

    1. Department of Ecohydrology, Leibniz Institute of Freshwater Ecology, Schöneiche, Germany

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    You can also search for this author in PubMed   Google Scholar

  2. Ganapati P. Patil

    1. Department of Statistics, Pennsylvania State University, University Park, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Discusses main topics of ranking applying partial order theory
  • Is about how far simple order methods can be useful for the ordinal analysis of data matrices
  • The reader will learn how to apply unclear methods in partial order analysis
  • Includes supplementary material: sn.pub/extras

Part of the book series: Environmental and Ecological Statistics (ENES)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xxv
    Download chapter PDF

  2. Why Prioritization, Why Ranking

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 1-11

  3. Partial Order and Hasse Diagrams

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 13-23

  4. Simple Combinatorial Structures

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 25-42

  5. Sensitivity and Ambiguity

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 43-55

  6. Structures of Partial Orders

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 57-74

  7. Hasse Diagrams Based on Transformed Data Matrices

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 75-96

  8. Reducing the Number of Incomparabilities

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 97-115

  9. Formal Concept Analysis

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 117-133

  10. Methods to Obtain Linear or Weak Order by Means of Partial Order

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 135-153

  11. Comparison of Partial, Linear, and Weak Orders

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 155-167

  12. Illustrative Case Studies

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 169-199

  13. Case Study: Child Development (Sociology)

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 201-219

  14. Case Study: Stream Channel Stability Infrastructure at Bridge Crossings (Engineering Sciences)

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 221-239

  15. Case Study: Watershed Analysis (Hydrology)

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 241-255

  16. Case Study: Environmental Performance Index (EPI) (Human and Environmental Health)

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 257-270

  17. Partial Order and Related Disciplines

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 271-278

  18. Partial Order and Software

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 279-289

  19. Ranking and Prioritization with Partial Order for Multi-indicator Systems – An Integrative View with a Look Forward

    • Rainer Brüggemann, Ganapati P. Patil
    Pages 291-303

  20. Back Matter

    Pages 305-337
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About this book

This book provides axioms of partial order and some basic material, for example consequences of “criss-crossing” of data profiles, the role of aggregations of the indicators and the powerful method of formal concept analysis. The interested reader will learn how to apply fuzzy methods in partial order analysis and what ‘antagonistic indicator’ means.

Reviews

From the reviews:

“The main aim of the book is to introduce the modern tools and methodologies of the so-called partial order ranking for prioritization of objects by many different characteristics. … is addressed to graduate students and specialists in environmental, ecological, and other applied sciences requiring ordering and prioritization of many objects by numerous characteristics. … these new methods of partial order analysis can be insightful and useful, and extend the regular tool-kit of statisticians applying more conventional methods of PCA, factor analysis, data clustering, and segmentation.” (Stan Lipovetsky, Technometrics, Vol. 54 (2), May, 2012)

Authors and Affiliations

  • Department of Ecohydrology, Leibniz Institute of Freshwater Ecology, Schöneiche, Germany

    Rainer Brüggemann

  • Department of Statistics, Pennsylvania State University, University Park, USA

    Ganapati P. Patil

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