Set Functions, Games and Capacities in Decision Making
Published on 15. June 2016
XVI, 473 pages
978-3-319-30690-2 (ISBN)
Description
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.
More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Illustrations
XVI, 473 p. 50 illus., 25 illus. in color.
File size
5,76 MB
ISBN-13
978-3-319-30690-2 (9783319306902)
DOI
10.1007/978-3-319-30690-2
Schweitzer Classification
Other editions
Additional editions
Michel Grabisch
Set Functions, Games and Capacities in Decision Making
Book
06/2016
Springer
€149.79
Shipment within 10-15 days
Content
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.
