Consistency indicators for fuzzy choice functions

被引：4
|
作者：
Georgescu, Irina [1 ]
机构：
[1] Acad Econ Studies, Dept Econ Cybernet, Bucharest 014700, Romania
来源：
MATHEMATICAL SOCIAL SCIENCES | 2007年 / 53卷 / 01期
关键词：
fuzzy choice function; revealed preference; consistency indicators; congruence indicator; REVEALED PREFERENCE; RATIONAL CHOICE; ORDERINGS;
D O I：
10.1016/j.mathsocsci.2006.09.001
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
For a fuzzy choice function C we study two consistency indicators F-alpha(C), F-beta(C) and a congruence indicator WFCA(C). The indicators F-alpha(C) and F-beta(C) express the degree to which C verifies the extension to the fuzzy case of Sen's conditions alpha and beta, while WFCA(C) evaluates the degree to which C verifies the weak fuzzy congruence axiom WFCA. The main result of the paper shows that WFCA(C) is the minimum of F-alpha(C) and F-beta(C). The three indicators can be used for obtaining a hierarchy of a class of fuzzy choice functions. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：93 / 105
页数：13
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