一个准模糊图拟阵的新特征  

The New Character of Quasi-Fuzzy Graph Matroids

作　　者：吴德垠[1] 

机构地区：[1]重庆大学数学与统计学院,重庆401331

出　　处：《西南大学学报（自然科学版）》2018年第2期35-39,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(61374078)

摘　　要：首先定义模糊拟阵的"元好"概念,并构造了具有"元好"性质的闭模糊拟阵模糊基的结构定理;然后,证明了闭模糊拟阵为准模糊图拟阵的充要条件就是"元好";最后,用"元好"概念,构建了准模糊图拟阵的又一个模糊基公理.First,the concept of＂good-element＂in fuzzy matroids is defined in this paper,and the structure theorem of fuzzy bases in closed fuzzy matroids of good-element is constructed.Then,it is proved that＂good-element＂is the necessary and sufficient condition for a closed fuzzy matroid being aquasi-fuzzy graph matriod.Finally,with the help of the concept ＂good-element＂,another axiom of fuzzy bases is formed for quasi-fuzzy graph matroids.

关 键 词：拟阵 模糊拟阵 准模糊图拟阵 模糊基集 模糊基公理 元好 

分 类 号：O157[理学—数学] O159[理学—基础数学]