Set Functions, Games and Capacities in D
โ Michel Grabisch
๐ Library
๐
2016
๐ Springer
๐ English
โฆ LIBER โฆ
๐
Set Functions, Games and Capacities in Decision Making
โ Scribed by Michel Grabisch (auth.)
- Publisher
- Springer International Publishing
- Year
- 2016
- Tongue
- English
- Leaves
- 482
- Series
- Theory and Decision Library C 46
- Edition
- 1
- Category
- Library
โฌ Acquire This Volume
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
โฆ Table of Contents
Front Matter....Pages i-xvi
Introduction....Pages 1-23
Set Functions, Capacities and Games....Pages 25-144
The Core and the Selectope of Games....Pages 145-187
Integrals....Pages 189-279
Decision Under Risk and Uncertainty....Pages 281-323
Decision with Multiple Criteria....Pages 325-375
Dempster-Shafer and Possibility Theory....Pages 377-437
Back Matter....Pages 439-473
โฆ Subjects
Game Theory; Game Theory, Economics, Social and Behav. Sciences; Operation Research/Decision Theory; Operations Research, Management Science; Microeconomics; Computer Appl. in Social and Behavioral Sciences
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