模糊选择函数合理性指标与正规性指标的研究

摘要

Georgescu定义了模糊选择函数的G_合理性指标、M_合理性指标、G_正规性指标以及M_正规性指标，并在取小t_模下讨论了它们之间的关系。在任意 t_模下，对这些合理性指标以及正规性指标之间的关系做进一步讨论，从而将Georgescu的相关结论做了进一步的推广。%Georgescu defined the G_rationality ,M_rationality ,G_normality ,M_normality indi_cators of fuzzy choice functions ,and investigated the connections between them under the Mini_mum t_norm .In this paper ,we discuss the relationships between these rationality indicators and normality indicators under a general t_norm .As a consequence ,the results made by Georgescu are ex tended .