Models and Methods for Interval-Valued Cooperative Games in Economic Management

This book proposes several commonly used interval-valued solution concepts of interval-valued cooperative games with transferable utility. It thoroughly investigates these solutions, thereby establishing the properties, models, methods, and applications. The first chapter proposes the interval-valued least square solutions and quadratic programming models, methods, and properties. Next, the satisfactory-degree-based non-linear programming models for computing interval-valued cores and corresponding bisection algorithm are explained. Finally, the book explores several simplification methods of interval-valued solutions: the interval-valued equal division and equal surplus division values; the interval-valued Shapley, egalitarian Shapley, and discounted Shapley values; the interval-valued solidarity and generalized solidarity values; and the interval-valued Banzhaf value.

This book is designed for individuals from different fields and disciplines, such as decision science,game theory, management science, operations research, fuzzy sets or fuzzy mathematics, applied mathematics, industrial engineering, finance, applied economics, expert system, and social economy as well as artificial intelligence. Moreover, it is suitable for teachers, postgraduates, and researchers from different disciplines: decision analysis, management, operations research, fuzzy mathematics, fuzzy system analysis, applied mathematics, systems engineering, project management, supply chain management, industrial engineering, applied economics, and hydrology and water resources.

Establishes a series of formulas, methods and properties of commonly used interval-valued solutions of interval-valued cooperative games Presents improvements to modern interval-valued game theory and methods, including new linear programming models that surpass traditional and fuzzy optimizations Proposes innovative game methods for interactive management problems with interval-valued data Designed for readers across various disciplines Includes supplementary material: sn.pub/extras

Autorentext

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.

Inhalt
The Interval-Valued Least Square Solutions of Interval-Valued Cooperative Games.- Satisfactory Interval-Valued Cores of Interval-Valued Cooperative Games.- Several Interval-Valued Solutions of Interval-Valued Cooperative Games and Simplified Methods.