模糊选择函数拟传递合理性的研究  

A Study on Quasi-transitive Rationality Of Fuzzy Choice Functions

作　　者：苏鹏华 武彩萍 SU Peng-hua;WU Cai-ping(College of Mathematics,Taiyuan University of Technology,Yuci030600,China)

机构地区：[1]太原理工大学数学学院,山西榆次030600

出　　处：《模糊系统与数学》2018年第5期9-18,共10页Fuzzy Systems and Mathematics

基　　金：山西省自然科学基金资助项目(2013011004-1);山西省留学回国人员科研资助项目(2013052);山西省研究生教育改革研究课题(20142028)

摘　　要：本文在Georgescu模糊选择函数意义下,对模糊合理性条件及拟传递合理性进行了深入研究。首先给出了模糊选择函数合理性条件FC1、条件FC2、条件FC3、条件FC4及条件FC5的定义并且重新定义了条件Fδ;其次讨论了它们与拟传递合理之间的关系;最后得出了模糊选择函数拟传递合理的一些充分条件及一个充要条件。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 in detail.Firstly, the definitions of the fuzzy rationality conditions FC1,FC2,FC3,FC4and FC5are given and the rationality condition Fδis redefined.Secondly,the relationships between these rationality conditions and quasi-transitive rationality are discussed.Lastly,some sufficient conditions and a necessary and sufficient condition on the quasi-transitive rationality of fuzzy choice function are made.

关 键 词：模糊选择函数 模糊合理性条件 拟传递合理 条件Fδ 

分 类 号：O159[理学—数学]