摘要
针对模糊合作对策中局中人可能形成多层级联盟结构的情况,利用Choquet积分定义多层级模糊联盟结构,提出了班兹哈夫值解概念及其解法。研究此类对策班兹哈夫值满足可加性、联盟内对称性、哑元性及联盟外无关性等性质,并进一步证明其唯一性。通过算例比较分析多层级模糊联盟结构合作对策值班兹哈夫值和夏普利值的异同特性。该班兹哈夫值模糊拓展了多层级合作对策班兹哈夫值,是班兹哈夫值的一般表示形式。
Considering multi-level coalition structures appearing in the fuzzy cooperative games,this paper applies the Choquet integral to define the fuzzy multi-level coalition structures and hereby proposes the concept of Banzhaf values and solving methods.The additivity,symmetry within the alliance,dumbness and non-dependence outside the alliance of this kind of game are studied,and its uniqueness is further proved.Finally,the similarities and differences between the Banzhaf values and Sharpley values of cooperative game with fuzzy multi-level coalition structure are compared and analyzed by an example.The Banzhaf values are extended to the multi-level coalition sturcture cooperative games,and they are the general forms of the classsical Banzhaf values.
作者
杨靛青
李院红
俞裕兰
YANG Dian-qing;LI Yuan-hong;YU Yu-lan(School of Economics and Management,Fuzhou University,Fuzhou 350002,China;Fujian Business University,Fuzhou 350002,China)
出处
《广西大学学报（自然科学版）》
CAS
北大核心
2020年第3期700-706,共7页
Journal of Guangxi University（Natural Science Edition）
基金
国家自然科学基金资助项目(71572040)
福建省社会科学规划资助项目(FJ2018B076,FJ2019B139)
博士后科学基金资助项目(2017M612118)
福建省自然科学基金面上项目(2018J01810)。
