Fuzzy multi-objective multi-person decision-making and countermeasures

Author: Li Dengfeng
Publisher:
Publish Date: 2003-04-01
Features: This book is a scholarly monograph written based on the author's extensive research findings, primarily exploring two aspects: fuzzy multi-objective multi-person decision-making and fuzzy multi-objective multi-person game theory. Chapters 1 and 2 mainly elaborate on the basic concepts of fuzzy sets and fuzzy numbers, providing algorithms for fuzzy number operations, methods for calculating fuzzy distances and degrees of proximity, and establishing sorting methods for fuzzy numbers. Chapter 3 introduces the concept of fuzzy optimal solutions in multi-objective decision-making, establishing the optimality conditions and computational methods for fuzzy optimal solutions. Chapter 4 develops models and methods for multi-objective decision-making under incomplete preference information. Chapter 5 presents the general model and fuzzy solution concept for fuzzy multi-objective multi-person decision-making, discussing group selection function methods and social welfare function theory in multi-person decision-making. Chapter 6 establishes four fuzzy decision-making methods for fuzzy multi-objective multi-person decision-making problems involving fuzzy numbers. Chapters 7 and 8 study the basic concepts and computational methods of multi-objective multi-person non-cooperative game theory, introducing the concept and computational methods of multi-objective multi-person cooperative game solutions. Chapters 9 to 11 focus on the fuzzy linear programming solution methods and fuzzy multi-objective linear programming solution methods for fuzzy two-person zero-sum matrix games, mixed fuzzy two-person zero-sum matrix games, and fuzzy two-person zero-sum constrained matrix games. This book not only provides a systematic exposition and rigorous proof of fundamental theories and methods but also includes typical military and economic application case studies and modeling analyses. The target readers include theoretical and applied researchers in decision theory, game theory, fuzzy set theory, applied mathematics, weapon system analysis, engineering and industrial system optimization design, and socio-economic fields; as well as faculty, master's students, and doctoral students in universities (military) operational research, decision science, combat command science, fuzzy mathematics, systems engineering, applied mathematics, hydrology and water resources, and related disciplines or majors.