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 梁晶 

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1期10-18,共9页Fuzzy Systems and Mathematics

基　　金：山西省自然科学资助基金(2013011004-1);山西省留学回国人员科研项目(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,研究了一些模糊合理性条件之间的关系及模糊选择函数的拟传递合理性。首先,给出了模糊选择函数合理性条件FA1,条件FA2与条件Fγ的定义,研究了模糊选择函数G-合理性与条件FA1之间的关系。其次对合理性条件FA2,条件FPI及条件Fδ之间的关系进行了详细的讨论。最后得出了模糊选择函数拟传递合理的三个充分条件。In fuzzy choice this paper, we function in the of the rationality conditions deal with the fuzzy rationality conditions and quasi-transitive rationality of framework of the Georgescu fuzzy choice functions. Firstly, the definitions of fuzzy choice functions FA 1, FA 2 and Fγ are given, and the connections between the rationality of fuzzy choice function and FA1 are investigated. Then, the relationships between fuzzy rationality conditions FA 1, FA 2 and Fγ are discussed detailedly. Lastly, three sufficient conditions on the quasi-transitive rationality of fuzzy choice function are made.

关 键 词：模糊选择函数 合理性条件 拟传递合理 

分 类 号：O159[理学—数学]