Research On The Solution Of Interval Fuzzy Cooperative Game

Since fuzzy game theory was founded,has attracted much attention.Combining game theory and fuzzy mathematics theory,breaking the classical game model can not describe the original uncertain information.The interval numbers theory as an important branch of mathematics has developed more mature.Therefore,applicating it to integrate fuzzy information,will make the research work has more practical significance.The main research direction of this thesis is to use the theory of three parameters interval numbers and interval hesitant fuzzy set,expand the cooperative game model based on general interval numbers(two parameters interval numbers),establish some interval fuzzy cooperative models,and research the solutions of the model.The paper was organized as follows:Firstly,the paper describes the development process of game theory and research status,and briefly states the theoretical basis of the research.Secondly,based on the theory of three parameters interval numbers,structure fuzzy payoff cooperative game model with three parameters interval numbers,and further consider the player's preference factors,construct fuzzy payoff cooperative game model with preference standard of three parameters interval numbers,define kinds of cores of the model,and discuss the relationships between the solutions.Then,the theory of three parameters interval numbers is applied to the fuzzy coalition,establish the fuzzy coalition cooperative game model with three parameters interval numbers,give the concepts of the cores,and study their relationships.Finally,based on the interval hesitant fuzzy set theory,construct the model of payoff cooperative game with interval hesitant fuzzy set,to analyze the solution of the core,the nucleolus,and the solution of the weight information of the model.