Set Functions, Games and Capacities in Decision Making

Softcover Nachdruck of the original 1. Auflage 2016
ISBN: 978-3-319-80867-3
Verlag: Springer International Publishing

Buch, Englisch, Band 46, 473 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 7372 g

Reihe: Theory and Decision Library C

The book provides a thorough treatment of set functions, games and capacities as well as integrals with respect to capacities and games, in a mathematical rigorous presentation and in view of application to decision making. After a short chapter introducing some required basic knowledge (linear programming, polyhedra, ordered sets) and notation, the first part of the book consists of three long chapters developing the mathematical aspects. This part is not related to a particular application field and, by its neutral mathematical style, is useful to the widest audience. It gathers many results and notions which are scattered in the literature of various domains (game theory, decision, combinatorial optimization and operations research). The second part consists of three chapters, applying the previous notions in decision making and modelling: decision under uncertainty, decision with multiple criteria, possibility theory and Dempster-Shafer theory.

Zielgruppe

Research

Autoren/Hrsg.

Grabisch, Michel

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Mathematik | Informatik Mathematik Operations Research Spieltheorie

Inhaltsverzeichnis

Introduction.- Set functions, capacities and games.- The core and the selectope of games.- Integrals.- Decision under risk and uncertainty.- Decisions with multiple criteria.- Dempster-Shafer and possibility theory.