Semiorders

Properties, Representations, Applications
1997
ISBN: 978-0-7923-4617-3
Verlag: Springer Netherlands

Buch, Englisch, 190 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1030 g

Reihe: Theory and Decision Library B

Semiorder is probably one of the most frequently ordered structures in science. It naturally appears in fields like psychometrics, economics, decision sciences, linguistics and archaeology. It explicitly takes into account the inevitable imprecisions of scientific instruments by allowing the replacement of precise numbers by intervals. The purpose of this book is to dissect this structure and to study its fundamental properties. The main subjects treated are the numerical representations of semiorders, the generalizations of the concept to valued relations, the aggregation of semiorders and their basic role in a general theoretical framework for multicriteria decision-aid methods.
This volume is intended for students and researchers in the fields of decision analysis, management science, operations research, discrete mathematics, classification, social choice theory, and order theory, as well as for practitioners in the design of decision tools.

Zielgruppe

Research

Autoren/Hrsg.

Vincke, P.

Pirlot, Marc

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie

Inhaltsverzeichnis

1 First presentation.- 2 History and applications.- 3 Basic concepts and definitions.- 4 Minimal representations.- 5 Valued semiorders.- 6 Aggregation of semiorders.- 7 Miscellaneous.- Conclusion.