Rainer Brüggemann - Böcker

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.

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.

“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.

“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.

Indicators are more and more applied to describe and analyze complex systems. One possibility is the application of the mathematical theory of partial order, especially when the indicator system shall be used for ranking purposes.

Indicators are more and more applied to describe and analyze complex systems. One possibility is the application of the mathematical theory of partial order, especially when the indicator system shall be used for ranking purposes.

TThis book illustrates recent advances in applications of partial order theory and Hasse diagram techniques to data analysis, mainly in the socio-economic and environmental sciences. For years, partial order theory has been considered a fundamental branch of mathematics of only theoretical interest. In recent years, its effectiveness as a tool for data analysis is increasingly being realized and many applications of partially ordered sets to real problems in statistics and applied sciences have appeared. Main examples pertain to the analysis of complex and multidimensional systems of ordinal data and to problems of multi-criteria decision making, so relevant in social and environmental sciences. Partial Order Concepts in Applied Sciences presents new theoretical and methodological developments in partial order for data analysis, together with a wide range of applications to different topics: multidimensional poverty, economic development, inequality measurement, ecology and pollution, and biology, to mention a few. The book is of interest for applied mathematicians, statisticians, social scientists, environmental scientists and all those aiming at keeping pace with innovation in this interesting, growing and promising research field.

TThis book illustrates recent advances in applications of partial order theory and Hasse diagram techniques to data analysis, mainly in the socio-economic and environmental sciences.

When you edit a book, the editors should ask themselves, why are we - ing this and whom are we doing this for? To whom could this book be valuable as a source of information and possibly inspiration and of course are there other books with similar topics on the market? Indeed the mat- matical structure 'partial order' is explained in many mathematical te- books, which require different degrees of mathematical skills to comp- hend. Thus, as far as we can tell, all these books are dedicated directly towards mathematician working in the area of Discrete Mathematics and Theoretical Informatics. Although partial order is very well known in quantum mechanics, especially within the context of Young-diagrams, l- erature stressing the application aspect of partial order seems to be not available. However, an increasing number of publications in scientific journals have in recent years appeared, applying partial order to various fields of chemistry and environmental sciences. A recent summary can be found in a special issue of the journal Match - Commun. Math. Comput. Chem. 2000, edited by Klein and Brickmann. However, we believe that this journal possibly is too specific and as such it may not reach scientists actually applying partial order in various fields of research. Hence, we dared to initiate the editing of this book in order to address a broader au- ence and we were happy to convincing distinguished scientists working with different aspects of partial order theory to contribute to this book.

Als roter Faden dient dem Autor hier erstmals der Bewertungsgedanke. Die Ausbreitung von Chemikalien wird modelliert, um zu sehen wo Akkumulationen denkbar sind. Bewertet werden Chemikalien in der Umwelt und die Umwelt in ihren Belastungszuständen. Dazu werden Ausbreitungsmodelle, Methoden zur Abschätzung von Substanzeigenschaften (QSAR), Wirkungsmodelle mit ökologischem Hintergrund und Bewertungsverfahren vorgestellt. Der notwendige mathematische Apparat wird dabei meist Schritt für Schritt erläutert. Das Buch eignet sich für alle, die sich einen Überblick über weite Bereiche der mathematischen Modellierung von Umweltchemikalien verschaffen wollen, sowie für Spezialisten, die sich mit Bewertungsverfahren beschäftigen.Die begleitende CD-ROM beinhaltet kleine Programme. Leser können damit in die Modellierung praktisch eingeführt werden und selbst einzelne Schwerpunkte zur Modellierung ausprobieren.

When you edit a book, the editors should ask themselves, why are we - ing this and whom are we doing this for? To whom could this book be valuable as a source of information and possibly inspiration and of course are there other books with similar topics on the market? Indeed the mat- matical structure 'partial order' is explained in many mathematical te- books, which require different degrees of mathematical skills to comp- hend. Thus, as far as we can tell, all these books are dedicated directly towards mathematician working in the area of Discrete Mathematics and Theoretical Informatics. Although partial order is very well known in quantum mechanics, especially within the context of Young-diagrams, l- erature stressing the application aspect of partial order seems to be not available. However, an increasing number of publications in scientific journals have in recent years appeared, applying partial order to various fields of chemistry and environmental sciences. A recent summary can be found in a special issue of the journal Match - Commun. Math. Comput. Chem. 2000, edited by Klein and Brickmann. However, we believe that this journal possibly is too specific and as such it may not reach scientists actually applying partial order in various fields of research. Hence, we dared to initiate the editing of this book in order to address a broader au- ence and we were happy to convincing distinguished scientists working with different aspects of partial order theory to contribute to this book.