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模糊选择函数中一些显示偏好关系的研究
引用本文:武彩萍,王绪柱,郝永花.模糊选择函数中一些显示偏好关系的研究[J].模糊系统与数学,2010,24(1).
作者姓名:武彩萍  王绪柱  郝永花
作者单位:太原理工大学,数学系,山西,太原,030024
基金项目:山西省自然科学基金资助项目(2009011006)
摘    要:对普通选择函数所导出的偏好关系R*,R,R,■及其之间的联系进行了讨论,并以此为基础,深入研究了模糊情况下对应的偏好关系及其之间的联系,给出了它们相等的一些充要条件。

关 键 词:选择函数  显示偏好  合理性条件  正规  

An Investigation on Some Revealed Preference Relations of Fuzzy Choice Functions
WU Cai-ping,WANG Xu-zhu,HAO Yong-hua.An Investigation on Some Revealed Preference Relations of Fuzzy Choice Functions[J].Fuzzy Systems and Mathematics,2010,24(1).
Authors:WU Cai-ping  WANG Xu-zhu  HAO Yong-hua
Institution:Department of Mathematics/a>;Taiyuan University of Technology/a>;Taiyuan 030024/a>;China
Abstract:In this paper,we investigate the revealed preference relations R_*,R,(R),(R) revealed by crisp choice functions and the links between them.Based on the conclusions for crisp choice functions,we carry out a further research on the fuzzy preference relations corresponding to the crisp ones and the relationships between them.In the end, we obtain some necessary and sufficient conditions under which some of these preference relations are equal.
Keywords:Choice Function  Revealed Preference  Rationality Condition  Normal  
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