模糊关系各种性质的迹的刻画  

Characterization of Various Properties of Fuzzy Relations with Their Traces

作　　者：张彩霞[1] 王绪柱[1] 

机构地区：[1]太原理工大学数学学院,山西太原030024

出　　处：《中北大学学报（自然科学版）》2012年第1期77-78,87,共3页Journal of North University of China(Natural Science Edition)

摘　　要：在Fodor对模糊关系的迹的研究成果的基础上,进一步研究了用模糊关系的S-强完全性和T-S-Ferrers关系.讨论了当模糊关系满足某些特定的条件时,模糊关系与它的迹之间的等价关系以及一些结论,从而补充了Fodor的关于模糊关系的迹的研究结果.Based on the research conclusion concerning traces of fuzzy relations obtained by Fodor,forward study was conducted on the characterization of various properties of fuzzy relations by means of their traces.These properties include S-strongly completeness and T-S-Ferrers property.The equivalences of fuzzy relations,which are satisfied some certain conditions,and their traces were investigated in detail and other related conclusions were obtained.Some results concerning traces of fuzzy relations obtained by Fodor were complemented.

关 键 词：模糊关系 迹 S-强完全性 T-S-Ferrers关系 

分 类 号：O159[理学—数学]