摘要
利用模糊化以后的Schwartz条件,在直觉非下研究了理性模糊选择函数的刻画问题.在选择集为正规模糊集的假设前提下,得出模糊化以后的Schwartz条件仅仅是刻画模糊选择函数拟传递、伪传递及半序理性化的充分条件,同时用实例说明其不再是必要条件.
The rationality of fuzzy choice function is characterized based on the intuitive negation and the fuzzy Schwartz＇s conditions. Under the assumption that every choice set is normal, the conditions so defined are proved to be sufficient to guarantee the quasi-transitive, pseudotransitive and semi-order rationality of fuzzy choice functions but no longer to be necessary for the rationality, as is illustrated through an example. K
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2008年第9期834-837,共4页
Transactions of Beijing Institute of Technology
基金
国家自然科学基金资助项目(70471063,70771010)
“九八五”二期工程资助项目(107008200400024)
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
理性化
拟传递
伪传递
半序
fuzzy choice function
rationality
quasi-transitivity
pseudo-transitivity
semi-order
