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1、AbstractIngametheory,cooperativegamehasreceivedagenerousconcernfromscholarsandbecomearesearchfocusinacademia.Halfacenturyhaswitnessedtheformationofthematuretheoryofcooperativegame.Asanemergingbranchofgametheory,fuzzygametheoryhasattractedmanyscholars'interestsincethelast70fs,
2、whichresultsinresearchfindingsoneafteranother.Recentlyscholarsalsoconductresearchesonvariousaspectsofrepeatedgames.Repeatednon-cooperativegamesarestudiedbymanyscholars,andsomesignificantresultsareobtained.Thepurposeofthispaperistofurtherstudythetheoryoffuzzycoalitiongame.Byex
3、pandingthedefinitionofdominance,wepresentthenewconceptsofweakcoreandweakstableset,anddiscussthepropertiesofthem.Wecombinefuzzygameandrepeatedgame,andestablishthesum-compoundrepeatedfuzzygamemodel,andstudytherelationsofthecoreandstablesetofthegameandthecoresandstablesetsofthec
4、ompoundgames.Thispaperisdividedintofourparts.Thefirstpartservesasanintroduction,providinghistoriesofclassicalgamestheory,backgroundandpracticalvalueofthepaper.Inthesecondpartwereviewtheliteratureofsomebasicconceptsofclassicgametheories,includingcore,stableset,Shapleyfunction,
5、bargainingset,weakdominanceandstableset.WediscussthepropertiesofthesesolutionsofTUcooperativegame.Inthethirdpartwediscussbasicconceptsinfuzzygameandintroducenewdefinitionsofweakdominanceandweaksablesetforfuzzygame.Wehighlightthestudyofconvexfuzzygameintermsofitsuniqueandcruci
6、alfeatures.Inthelastpartweemploytheconceptofsum-compoundrepeatedfuzzycooperativegame,definestablesetofthisgamewithfuzzycoalitionandstudytherelationsbetweenthecoreandstablesetofsum-compoundrepeatedfuzzygameandthecoresandstablesetsofcompoundedgames.KeywordsTUgame;Repeatedfuzzyc
7、ooperativegame;Sum-compoundfuzzygame;Fuzzycoalition;Core;Weakdominance;Weakstablesethi摘要IAbstract第1章绪论1L1对策论发展简史11.2对策模型41.3关于77人合作对策的研究71.4模糊对策的发展121.5论文结构及选题意义13第2章合作对策的解和基本定理152.1基本概念152.2核心182.3稳定集202.4Shapley值和谈判集232.5弱稳定集的引入262.6本章小结28第3章重复模糊合作对策的核心和稳定集293」基本概念293.2TU模糊
8、结盟对策的几种经典解303.3TU模糊结盟对策的弱核心和弱稳定集353.4凸模糊结盟对策383.5本章小结42第4章和一合成重复模糊对策
