Decision and Game Theory in Management With Intuitionistic Fuzzy Sets

The focus of this book is on establishing theories and methods of both decision and game analysis in management using intuitionistic fuzzy sets. It proposes a series of innovative theories, models and methods such as the representation theorem and extension principle of intuitionistic fuzzy sets, ranking methods of intuitionistic fuzzy numbers, non-linear and linear programming methods for intuitionistic fuzzy multi-attribute decision making and (interval-valued) intuitionistic fuzzy matrix games. These theories and methods form the theory system of intuitionistic fuzzy decision making and games, which is not only remarkably different from those of the traditional, Bayes and/or fuzzy decision theory but can also provide an effective and efficient tool for solving complex management problems. Since there is a certain degree of inherent hesitancy in real-life management, which cannot always be described by the traditional mathematical methods and/or fuzzy set theory, this book offers an effective approach to using the intuitionistic fuzzy set expressed with membership and non-membership functions.

This book is addressed to all those involved in theoretical research and practical applications from a variety of fields/disciplines: decision science, game theory, management science, fuzzy sets, operational research, applied mathematics, systems engineering, industrial engineering, economics, etc.

Deng-Feng Li was born in 1965. He received both his B.Sc. and M.Sc. degrees in Applied Mathematics from the National University of Defense Technology, Changsha, China, in 1987 and 1990, respectively, and completed his Ph.D. in System Science and Optimization at the Dalian University of Technology, Dalian, China, in 1995. From 2003 to 2004, he was a visiting scholar at the School of Management, University of Manchester Institute of Science and Technology, UK.
He is currently a “Minjiang Scholar” Distinguished Professor and an Assistant Dean of the School of Management, Fuzhou University, China. He has published more than 200 international journal papers and four monographs and is the coauthor of one monograph and three textbooks. His current research interests include fuzzy decision analysis, group decision-making, fuzzy game theory, fuzzy sets and system analysis, fuzzy optimization and differential games in economic management. He has been recognized with eighteen scientific achievement awards.