Deng Feng Li Boeken

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.

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.

This book presents interval-valued solution concepts for interval-valued cooperative games with transferable utility, thoroughly examining their properties, models, methods, and applications. The first chapter introduces interval-valued least square solutions alongside quadratic programming models, methods, and properties. It then details satisfactory-degree-based non-linear programming models for calculating interval-valued cores and the corresponding bisection algorithm. The exploration continues with various simplification methods for interval-valued solutions, including interval-valued equal division and equal surplus division values, as well as the interval-valued Shapley, egalitarian Shapley, discounted Shapley, solidarity, generalized solidarity, and Banzhaf values. Targeted at a diverse audience, the book is relevant to fields such as decision science, game theory, management science, operations research, fuzzy mathematics, applied mathematics, industrial engineering, finance, applied economics, expert systems, social economy, and artificial intelligence. It is particularly beneficial for teachers, postgraduates, and researchers engaged in decision analysis, management, operations research, fuzzy mathematics, systems engineering, project management, supply chain management, applied economics, and hydrology.