摘要
以普通选择函数的有关结论为基础,利用模糊逻辑联结运算模糊化了Arrow的五个合理性条件,讨论了模糊化后的这些合理性条件之间的关系,研究了文献中给出的一个开问题,并对模糊情形下不成立的情况提供反例予以说明,从而推广了普通选择函数的相关结论。
Based on related results of crisp choice functions,the five rationality conditions introduced by Arrow are fuzzified by means of fuzzy logic connectives.The relationships between these fuzzified rationality conditions are investigated.An open problem in the literature is studied.Examples are given to illustrate that some results in crisp case don＇t hold any more in fuzzy case.As a consequence,some results of crisp choice functions are extended.
出处
《模糊系统与数学》
CSCD
北大核心
2012年第4期124-129,共6页
Fuzzy Systems and Mathematics
基金
山西省回国留学人员科研项目
太原理工大学青年基金资助项目
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
