Georgescu模糊选择函数伪传递合理性的研究  

A Study on Pseudo-transitive Rationality of Georgescu Fuzzy Choice Functions

作　　者：高倩 王绪柱 武彩萍 GAO Qian;WANG Xu-zhu;WU Cai-ping(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1期56-66,共11页Fuzzy Systems and Mathematics

摘　　要：本文研究模糊选择函数伪传递合理性。对普通选择函数伪传递合理的两个充要条件进行了模糊化,讨论了它们的独立性;证明了对Georgescu模糊选择函数而言,这两个条件仍是伪传递合理的充分条件,但不再是必要条件。In this paper, we deal with the pseudo-transitive rationality of fuzzy choice functions. We fuzzify two necessary and sufficient conditions for pseudo-transitive rationality of crisp choice functions, and discuss the independence of them;And verify that two conditions are still sufficient conditions for pseudo-transitive rationality of Georgescu fuzzy choice functions, but they are no longer necessary.

关 键 词：模糊选择函数 合理性 模糊显示偏好 伪传递 

分 类 号：O159[理学—数学]