Set Functions, Games and Capacities in Decision Making
Grabisch, Michel
Produktnummer:
181fed75d24fff4081bfaf2829f0607d3c
Autor: | Grabisch, Michel |
---|---|
Themengebiete: | Capacities Choquet integral Cooperative Games Decision making Decision under uncertainty Decision with multiple criteria Dempster-Shafer theory Possibility theory Pseudo-Boolean function Set functions |
Veröffentlichungsdatum: | 30.05.2018 |
EAN: | 9783319808673 |
Sprache: | Englisch |
Seitenzahl: | 473 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Springer International Publishing |
Produktinformationen "Set Functions, Games and Capacities in Decision Making"
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.

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