Fuzzy Mathematical Programming and Fuzzy Matrix Games
Language: English
Artificial Intelligence Business & Economics Computers Counting & Numeration Discrete Mathematics Engineering (General) Game Theory Games Mathematics Number Systems Numerical Analysis Operations Research Programming Technology & Engineering Telecommunications
Publisher: Springer Science & Business Media
Published: Jan 19, 2005
Description:
This book presents a systematic and focused study of the application of fuzzy sets to two basic areas of decision theory, namely Mathematical Programming and Matrix Game Theory. Apart from presenting most of the basic results available in the literature on these topics, the emphasis is on understanding their natural relationship in a fuzzy environment. The study of duality theory for fuzzy mathematical programming problems plays a key role in understanding this interrelationship. For this, a theoretical framework of duality in fuzzy mathematical programming and conceptualization of the solution of a fuzzy game is created on the lines of their crisp counterparts. Most of the theoretical results and associated algorithms are illustrated through small numerical examples from actual applications.