模糊关系的迹与其性质指标之间的关系  

Relationships between Traces of Fuzzy Relations and Its Property Indicators

作　　者：王浪飞 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：《模糊系统与数学》2012年第5期6-12,共7页Fuzzy Systems and Mathematics

基　　金：山西省自然科学基金资助项目(2009011006;山西省回国留学人员科研项目

摘　　要：讨论用模糊关系的迹去刻画模糊关系的各种性质指标,从而揭示模糊关系的迹与一些性质指标如自反、T-非对称、S-强完全、T-传递、S-负传递指标之间的联系。通过我们的讨论,推广了文献中迹与模糊关系性质联系的相关结果。In this paper, we deal with the characterization of various property indicators of fuzzy relations by means of the traces of fuzzy relations, which will reveal the relationships between the traces and property indicators such as reflexivity, T-asymmetry, strong S-completeness T-transitivity and negative S-transitivity indicators. With our research, some results in the literature on the links between the traces and properties of fuzzy relations are extended.

关 键 词：左、右迹 T-非对称性指标 S-强完全性指标 T-传递性指标 S-负传递性指标 

分 类 号：O159[理学—数学]