Georgescu模糊选择函数半序合理性的研究  

An Investigation on Semiorder Rationality of Georgescu Fuzzy Choice Functions

作　　者：武彩萍 苗姚姚 WU Cai-ping;MIAO Yao-yao(College of Mathematics,Taiyuan University of Technology,Yuci 030600,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》2020年第5期57-64,共8页Fuzzy Systems and Mathematics

基　　金：山西省研究生教育改革课题(2019JG039)。

摘　　要：本文在G9del t-模下,研究了Georgescu模糊选择函数半序合理的充分条件。首先给出了模糊选择函数的一些合理性条件。然后研究了这些条件与模糊选择函数半序合理性之间的关系,并给出了半序合理的一个充分条件。最后举例说明了该条件不是选择函数半序合理的必要条件。The paper investigates the sufficient conditions of semiorder rationality of Georgescu fuzzy choice functions under the condition of G9 del t-norm.Firstly,we give the definition of some rationality conditions of fuzzy choice functions.Then,we deal with the relationship between the conditions and semiorder rationality of fuzzy choice functions.Meanwhile,a sufficient condition of semiorder rationality is obtioned.Lastly,an example is illustrated that the condition is no longer necessary for the semiorder rationality of fuzzy choice functions.

关 键 词：Georgescu模糊选择函数 合理 模糊显示偏好 半序 

分 类 号：O159[理学—数学]