The Solution Of Interval Fuzzy Cooperative Game

1970s, scholars began to study the fuzzy cooperative game, as a new branch of gametheory, the fuzzy cooperative countermeasure and repeated measures attracted widespreadattention and became the research hotspot. Recent years, interval fuzzy cooperativeapproaches into a new direction of game theory, and many of scholars focus on it. So far,in the range of cooperative approaches research have made some remarkableachievements.The purpose of this paper is to improve the fuzzy cooperative approaches theoryfuther, through the promotion of traditional cooperative approaches solution, proposedinterval fuzzy cooperative approaches solution's concepts and the related properties;introduce the repeated cooperative approaches theory to the interval fuzzy cooperativeapproaches, achieved the combination of the interval fuzzy measures and repeatedmeasures, and do the research on the interval fuzzy cooperative approaches's core, Stablesets and the Shapley value, and give the relationship between them.The organizational structure of this thesis: Firstly, introduce the history of gametheory, introduce the thesis' background and purposes, and the practical value of thisresearch papers. Secondly, based on the theory of fuzzy intervals research, defines theinterval interval fuzzy core and the different structures of the repeated cooperativeapproaches interval core, namely, there are core structure of phase interval fuzzycooperative approaches, core of repeat interval fuzzy cooperative approaches, the intervalgenerally core, the interval appropriate core, the interval over-priorities core structure,and discussed the relationship that exists between them, enriching the fuzzy cooperativeapproaches theory. Thirdly, based on interval fuzzy cooperative approaches, defines theinterval stable set and its nature, and extends to the repeated fuzzy cooperative approachesof the stable set etc, studied the nature of the stable sets and their interrelationship. Thirdly,according to imitation of classical Shapley value, defined concepts and properties ofgeneral range of the Shapley value and the range Shapley value which is improved, thegeneral range for the Shapley value, and using the example verification confirm them. Finally, shows repeated intervals Shapley value and its nature.