模糊选择函数的Wφ-伪传递及Wφ-半序合理性刻画  

The Characterization of Fuzzy Choice Functions' Wφ-Pseudotransitive Rationality and Wφ-Semiorder Rationality

作　　者：张会娟[1] 张强[1] 王绪柱[2] 

机构地区：[1]北京理工大学管理与经济学院,北京100081 [2]太原理工大学理学院,山西太原030024

出　　处：《模糊系统与数学》2009年第1期36-40,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(7047106370771010)

摘　　要：在模糊偏好结构下,首先将Schw artz[1]提出的收缩扩张公理模糊化,在选择集为正规模糊集的前提下,研究模糊选择函数Wφ伪传递及Wφ半序合理的刻画问题。由于模糊化后的条件不再是选择函数伪传递合理的充分条件,因此,文章最后给出新的条件来刻画其合理性。In this paper, we firstly fuzzify some expansion and contraction axioms introduced by Schwartz. Then we investigate the issue of characterizing pseudotransitive and semiorder rationality in fuzzy case under the assumption that the involved choice sets are normal. We point out that the fuzzified axioms are not sufficient conditions any more in characterizing pseudotransitive and semiorder rationality in fuzzy case. In view of this, some strong sufficient conditions are proposed to guarantee the rationality of choice functions towards the end of the paper.

关 键 词：模糊选择函数 合理性 Wφ-伪传递性 Wφ-半序 

分 类 号：O159[理学—数学]