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This book addresses two-person zero-sum finite games in which the payoffs in any situation are expressed with fuzzy numbers. The purpose of this book is to develop a suite of effective and efficient linear programming models and methods for solving matrix games with payoffs in fuzzy numbers. Divided into six chapters, it discusses the concepts of solutions of matrix games with payoffs of intervals, along with their linear programming models and methods. Furthermore, it is directly relevant to the research field of matrix games under uncertain economic management. The book offers a valuable resource for readers involved in theoretical research and practical applications from a range of different fields including game theory, operational research, management science, fuzzy mathematical programming, fuzzy mathematics, industrial engineering, business and social economics.
List of contents
Part 1 Matrix Games with Payoffs of Fuzzy Numbers.- Interval-Valued Matrix Game.- Matrix Games with Payoffs of Triangular Fuzzy Numbers.- Part 2 Constraint Matrix Games with Payoffs of Fuzzy Numbers.- Interval-Valued Constraint Matrix Games.- Constraint Matrix Games with Payoffs of Triangular Fuzzy Numbers.- Constraint Matrix Games with Payoffs of Trapezoidal Fuzzy Numbers.
About the author
Deng-Feng Li was born in 1965. He received the B.Sc. and M.Sc. degrees in applied mathematics from the National University of Defense Technology, Changsha, China, in 1987 and 1990, respectively, and the Ph.D. degree in system science and optimization from the Dalian University of Technology, Dalian, China, in 1995. From 2003 to 2004, he was a Visiting Scholar with the School of Management, University of Manchester Institute of Science and Technology, Manchester, U. K.
He is currently a “Minjiang Scholar” Distinguished Professor and the assistant dean in the School of Management, Fuzhou University, China. He has authored more than 300 international journal papers and six monographs. He has coauthor of one monograph and three textbooks. He has coedited one proceeding of the international conference and one special issue “Fuzzy Nonlinear Programming with Applications in Decision Making” of Journal of Applied Mathematics. His current research interests include fuzzy game theory, fuzzy sets and fuzzy mathematical programming, group decision making, fuzzy optimization and differential game in economic management. He has earned more than 20 Scientific achievement awards such as the First Prize in Chinese State Natural Science Award and 2013 IEEE Computational Intelligence Society IEEE Transactions on Fuzzy Systems Outstanding paper award.
Summary
This book addresses two-person zero-sum finite games in which the payoffs in any situation are expressed with fuzzy numbers. The purpose of this book is to develop a suite of effective and efficient linear programming models and methods for solving matrix games with payoffs in fuzzy numbers. Divided into six chapters, it discusses the concepts of solutions of matrix games with payoffs of intervals, along with their linear programming models and methods. Furthermore, it is directly relevant to the research field of matrix games under uncertain economic management. The book offers a valuable resource for readers involved in theoretical research and practical applications from a range of different fields including game theory, operational research, management science, fuzzy mathematical programming, fuzzy mathematics, industrial engineering, business and social economics.
