Set Functions, Games and Capacities in Decision Making

By:

Michel Grabisch

Format:

Paperback / softback

Series:

Theory and Decision Library C

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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.

Release date Australia

May 30th, 2018

Author

Michel Grabisch

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 2016

Illustrations

25 Illustrations, color; 25 Illustrations, black and white; XVI, 473 p. 50 illus., 25 illus. in color.

Pages

473

Series

Theory and Decision Library C

Dimensions

156x234x25

ISBN-13

9783319808673

Product ID

28206719

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