EAN: 9783319306889

SET FUNCTIONS GAMES AND CAPACITIES IN DECISION ...

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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