Fuzzy Multichoice Games with Fuzzy Characteristic Functions
Fuzzy Multichoice Games with Fuzzy Characteristic Functions
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DOI：
10.1007/s10726-016-9493-7
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发表时间：
2016-07
影响因子：
3
通讯作者：
F. Meng;Qiang Zhang;Xiao-hong Chen
中科院分区：
文献类型：
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作者：
F. Meng;Qiang Zhang;Xiao-hong Chen
本文提出了具有模糊特征函数的模糊多选择对策的一种推广形式，它可以看作是传统模糊对策的一种推广。基于推广的Hukuhara差分，研究了具有模糊特征函数的模糊多选择对策，并讨论了一种Shapley函数。定义了模糊多选择种群单调分配方案的概念。当给定的具有模糊特征函数的模糊多选择对策是凸的时，我们证明了所提出的Shapley函数是一个FMPMAS。进一步研究了两类特殊的具有模糊特征函数的模糊多选择对策：具有多线性扩张形式和模糊特征函数的模糊多选择对策和具有Choquet积分形式和模糊特征函数的模糊多选择对策。
In this paper, a generalized form of fuzzy multichoice games with fuzzy characteristic functions is proposed, which can be seen as an extension of traditional fuzzy games. Based on the extension Hukuhara difference, fuzzy multichoice games with fuzzy characteristic functions are studied, and a Shapley function is discussed. The notion of fuzzy multichoice population monotonic allocation scheme (FMPMAS) is defined. When the given fuzzy multichoice game with fuzzy characteristic functions is convex, we show that the proposed Shapley function is a FMPMAS. Furthermore, two special kinds of fuzzy multichoice games with fuzzy characteristic functions called fuzzy multichoice games with multilinear extension form and fuzzy characteristic functions and fuzzy multichoice games with Choquet integral form and fuzzy characteristic functions are researched.