摘要
本文对几种模糊传递关系进行比较 ,从一个侧面说明了用于构造偏好关系的模糊关系应是互逆关系 .文中证明了对任意的 n阶互逆传递模糊关系 R,必有 Rn=Rn+1 .
In this paper some kinds of fuzzy transitive relations are compared with each other. It is pointed out, in one aspect, that the fuzzy relation used to construct a preference relation should be reciprocal. It is proved that RnR n+1 , where R is any reciprocal transitive fuzzy relation of order n.
出处
《数学的实践与认识》
CSCD
北大核心
2003年第1期67-72,共6页
Mathematics in Practice and Theory
关键词
模糊传递关系
偏好关系
收敛性
fuzzy transitive relation
preference relation
convergence
