摘要
本文在Georgescu模糊选择函数意义下,研究了一些模糊合理性条件之间的关系及模糊选择函数的拟传递合理性。首先,给出了模糊选择函数合理性条件FA1,条件FA2与条件Fγ的定义,研究了模糊选择函数G-合理性与条件FA1之间的关系。其次对合理性条件FA2,条件FPI及条件Fδ之间的关系进行了详细的讨论。最后得出了模糊选择函数拟传递合理的三个充分条件。
In this paper,we deal with the fuzzy rationality conditions and quasi-transitive rationality of fuzzy choice function in the framework of the Georgescu fuzzy choice functions.Firstly,the definitions of the rationality conditions of fuzzy choice functions FA1,FA2 and Fγare given,and the connections between the rationality of fuzzy choice function and FA1 are investigated.Then,the relationships between fuzzy rationality conditions FA1,FA2 and Fγare discussed detailedly.Lastly,three sufficient conditions on the quasi-transitive rationality of fuzzy choice function are made.
引文
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