太原理工大学学报2017，Vol.48Issue(5)：872-878,7.DOI:10.16355/j.cnki.issn1007-9432tyut.2017.05.029
模糊关系的非循环性
Acyclicity of Fuzzy Relations
摘要
Abstract
In this paper,we deal with the acyclicity of fuzzy relations.The investigation is di-vided into two parts:the acyclicity of a fuzzy relation and its strict part.In the first part,several equivalent statements of T-acyclicity are given by means of α-cuts or T-transitive closure with the left continuity of T.In the second part,some properties concerning the relationships between the T-acyclicity of a fuzzy relation R and its strict part PR are investigated and equivalent statements of the T-acyclicity of PR are presented.关键词
模糊关系/非循环性/t-模/传递性/传递闭包Key words
fuzzy relation/acyclicity/t-norms/transitive/transitive closure分类
数理科学引用本文复制引用
韩瑶瑶,王绪柱,武彩萍..模糊关系的非循环性[J].太原理工大学学报,2017,48(5):872-878,7.基金项目
国家自然科学基金资助项目(71473174) （71473174）
