摘要
Georgescu利用模糊逻辑联结运算对普通选择函数相关理论进行模糊化,得到了WAFRP,SAFRP,WFCA等合理性条件,并在Lukasiewiczt模下,讨论了这些合理性条件之间的联系。在此基础上,笔者进一步讨论了这些合理性条件,证明了在强De Morgan三元组下它们的等价性,从而在某种意义下推广了Georgescu的相关结果。
Georgescu fuzzifies the theory of crisp choice function by the use of fuzzy logic connectives and establishes the rationality conditions WAFRP, SAFRP, WFCA. The links between these conditions are also investigated under Lukasiewicz-norm. In this paper, we carry out a further research on these conditions and prove their equivalence under the strong De Morgan triple. As a result, Georgescu＇s result is extended in some sense.
出处
《太原理工大学学报》
CAS
北大核心
2009年第2期203-206,共4页
Journal of Taiyuan University of Technology
基金
山西省回国留学人员科研资助项目(2006-23)
关键词
模糊选择函数
显示偏好
合理性条件
fuzzy choice function
revealed preference
rationality condition
