摘要
基本序列和导出拟阵序列是模糊拟阵的两个基本概念,在模糊拟阵中起着重要作用.本文研究了闭正规模糊拟阵的基本序列,得到了与基本序列有关的几个结果:⑴闭正规模糊拟阵的基本序列的充分条件;⑵闭正规模糊拟阵的模糊对偶拟阵的一些性质,⑶闭正规模糊拟阵模糊基的几个性质;⑷闭模糊拟阵是正规的两个充分条件.这些结果有利于进一步研究模糊拟阵的其它性质.
Fundamental sequence and induced matroid sequence are two fundamental conceptions of fuzzy matroid and play an important role in fuzzy matroid. The authors study the fundamental sequence of closed regular fuzzy matroids, and find some results concerning fundamental sequence ：（1）some sufficient conditions of the fundamental sequence of closed regular fuzzy matroids;（2）some properties of its fuzzy dual matroids;（3）some properties of fuzzy bases of closed regular fuzzy matroids ;（4）two sufficient conditions of regular fuzzy matroids based on closed fuzzy matroids are provided. These results are helpful to study other properties of fuzzy matroid.
出处
《重庆大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2007年第2期139-141,共3页
Journal of Chongqing University
关键词
拟阵
模糊拟阵
闭正规模糊拟阵
模糊对偶拟阵
基本序列
matroids
fuzzy matroids
closed regular fuzzy matroids
fuzzy dual matroids
fundamental sequence
