系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2011年
8期
1524~1531
,共null页
模糊博弈 模糊联盟 Shapley值 个体稳定 群体稳定
模糊博弈 模糊聯盟 Shapley值 箇體穩定 群體穩定
모호박혁 모호련맹 Shapley치 개체은정 군체은정
fuzzy game; fuzzy coalition; Shapley value; individual stability; group stability
基于经典合作博弈Shapley值的概念及模糊合作博弈理论,给出了具有模糊联盟的合作博弈个体理性及集体理性定义.基于Butnariu提出的具有比例值的模糊博弈及Tsurumi提出的具有Choquet积分形式的模糊博弈,结合Li提出的Shapley函数的简化表达式,研究了模糊联盟的稳定性问题,证明了一些相关结论.
基于經典閤作博弈Shapley值的概唸及模糊閤作博弈理論,給齣瞭具有模糊聯盟的閤作博弈箇體理性及集體理性定義.基于Butnariu提齣的具有比例值的模糊博弈及Tsurumi提齣的具有Choquet積分形式的模糊博弈,結閤Li提齣的Shapley函數的簡化錶達式,研究瞭模糊聯盟的穩定性問題,證明瞭一些相關結論.
기우경전합작박혁Shapley치적개념급모호합작박혁이론,급출료구유모호련맹적합작박혁개체이성급집체이성정의.기우Butnariu제출적구유비례치적모호박혁급Tsurumi제출적구유Choquet적분형식적모호박혁,결합Li제출적Shapley함수적간화표체식,연구료모호련맹적은정성문제,증명료일사상관결론.
Based on the concept of Shapley value in crisp cooperative game and the theory of fuzzy cooperative game,the individual stability and group stability for fuzzy coalition are defined.Based on the fuzzy game with proportional values defined by Butnariu and the fuzzy game with Choquet integral forms established by Tsurumi,according to the simplified expression of the Shapley function defined by Shujin Li,the stability of fuzzy coalition is studied,some conclusions are drawn.
