Scientific Data Ranking Methods

The aim of this volume is to present the basic mathematical aspects of the ranking methods using a didactical approach and to explain their use through examples of relevant applications in different scientific fields. Ranking methods can be applied in several different fileds, such as decision support, toxicology, EU priority lists of toxic chemicals, environmental problems, proteomics and genomics, analytical chemistry, food chemistry and QSAR. . Covers a wide range of applications, from the environment and toxicology to DNA sequencing . Incorporates contributions from renowned experts in the field . Meets the increasing demand for literature concerned with ranking methods and their applications

Contributors	p. vii
Preface	p. ix
Introduction to Ranking Methods	p. 1
Definition of Order Relations	p. 1
Order in Statistics	p. 3
Order in Graphs	p. 42
Order in Optimization Problems	p. 43
References	p. 46
Appendix A	p. 48
Total-Order Ranking Methods	p. 51
Introduction	p. 51
Total-Order Ranking Methods	p. 53
Conclusions	p. 70
References	p. 70
Partial Ordering and Hasse Diagrams: Applications in Chemistry and Software	p. 73
Introduction	p. 73
Partial-Order Theory	p. 74
Software for Hasse Diagram Technique	p. 77
Ranking of Chemicals as An Example	p. 78
Applications of Hasse Diagram Technique to the Data Availability of Chemicals	p. 83
Summary, Outlook and Conclusion	p. 90
References	p. 91
Partial Ordering and Prioritising Polluted Sites	p. 97
Introduction	p. 97
Methodology	p. 98
Applications	p. 101
Conclusions	p. 108
Acknowledgments	p. 108
References	p. 108
Similarity/Diversity Measure for Sequential Data Based on Hasse Matrices: Theory and Applications	p. 111
Introduction	p. 111
Theory	p. 112
Application of the Hasse Distance Approach to Sequential Data	p. 116
Conclusions	p. 137
References	p. 137
The Interplay between Partial-Order Ranking and Quantitative Structure-Activity Relationships	p. 139
Introduction	p. 139
Methodology	p. 140
Results and Discussion	p. 144
Conclusions and Outlook	p. 153
References	p. 154
Abbreviations	p. 157
Semi-Subordination Sequences in Multi-Measure Prioritization Problems	p. 159
Introduction	p. 159
Theory	p. 161
References	p. 167
Multi-Criteria Decision-Making Methods: A Tool for Assessing River Ecosystem Health Using Functional Macroinvertebrate Traits	p. 169
Introduction	p. 169
Biomonitoring Program	p. 171
Applications of Total-Order Ranking Techniques	p. 175
Environmental Description of Serio River	p. 175
Ecology of Serio River	p. 177
What we Obtained Using This Method?	p. 183
References	p. 185
Appendix	p. 188
The DART (Decision Analysis by Ranking Techniques) Software	p. 193
Introduction	p. 193
The Dart Software	p. 194
Example of Application of the Dart Software	p. 197
Conclusions	p. 207
References	p. 207
Index	p. 209
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Scientific Data Ranking Methods

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