Set Functions, Games and Capacities in Decision Making

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ISBN-13:
9783319306889
Einband:
Book
Erscheinungsdatum:
21.06.2016
Seiten:
473
Autor:
Michel Grabisch
Gewicht:
898 g
Format:
241x160x32 mm
Serie:
46, Theory and Decision Library C
Sprache:
Englisch
Beschreibung:

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.
Presents a unique and up-to-date compilation of results for set functions, games, capacities and integrals
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.