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The notion of the game is decision under uncertainty involving two or more intelligent opponents, in which each opponent aspires to optimize his own decision at the expense of the other opponents.An opponent is referred to as a player The theory of games was born by Von Neumann's in 1928 and in 1944 Von Neumann and Morgenstern introduced the concept of control for each player in the game and how the player seeks his control to minimize his own scalar cost criterion subject to specified constraints. The theory of fuzzy set is developed for solving problems in which their information's are uncertain. Most of real life problems are considered as large scale, solving these problems are appropriate decomposition techniques.
This book investigates the application of fuzzy set theory to differential games, a framework for decision-making under uncertainty with multiple intelligent opponents. The text builds upon the foundational concepts of game theory, introduced by Von Neumann, and extends them to scenarios where information is imprecise. It addresses the challenges of large-scale problems by exploring decomposition techniques, aiming to provide methods for optimizing individual player decisions within a competitive environment.
The subject matter indicates a specialized academic text focusing on advanced mathematical concepts within game theory and fuzzy logic. The approach suggests a rigorous treatment of theoretical frameworks and their practical application to complex, uncertain scenarios. The book likely appeals to researchers and graduate students in fields such as control engineering, operations research, and applied mathematics seeking to understand or implement fuzzy differential game models.
Page Count:
144
Publication Date:
2012-01-01
Publisher:
Lap Lambert Academic Publishing GmbH KG
ISBN-10:
3847320548
ISBN-13:
9783847320548
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