Georgescu模糊选择函数半序合理的一个充分条件  

A Sufficient Condition 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》2022年第4期61-69,共9页Fuzzy Systems and Mathematics

摘　　要：本文给出了Georgescu模糊选择函数的一些合理性条件FC1和FC2,并在G9del t-模下研究了Georgescu模糊选择函数半序合理性问题,得出了合理的模糊选择函数满足FC1和FC2仅仅是半序合理的充分条件,同时用实例说明了这些条件不再是必要条件。In this paper,we introduced the rationality conditions FC1 and FC2 of Georgescu fuzzy choice functions.Under the condition of Godel t-norm,we investigate the semiorder rationality of Georgescu fuzzy choice functions.As a result,we give out that the fuzzy choice functions satisfy FCl and FC2 is a sufficient condition of semiorder rationality.At the same time,we give an example that llustrates the conditions are no longer necessary for the semiorder rationality of the fuzzy choice functions.

关 键 词：模糊选择函数 半序 合理 模糊显示偏好 

分 类 号：O159[理学—数学]