吉林大学学报(理学版)

• 数学 • 上一篇    下一篇

[0,1]-拟阵模糊基的进一步研究

林福宁1, 李生刚1, 杨小飞2   

  1. 1. 陕西师范大学 数学与信息科学学院, 西安 710119; 2. 西安工程大学 理学院, 西安 710048
  • 收稿日期:2016-02-25 出版日期:2016-11-26 发布日期:2016-11-29
  • 通讯作者: 李生刚 E-mail:shengganglinew@126.com

Further Study on Fuzzy Bases of [0,1]-Matroids

LIN Funing1, LI Shenggang1, YANG Xiaofei2   

  1. 1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China;2. College of Science, Xi’an Polytechnic University, Xi’an 710048, China
  • Received:2016-02-25 Online:2016-11-26 Published:2016-11-29
  • Contact: LI Shenggang E-mail:shengganglinew@126.com

摘要: 进一步研究保证[0,1]-拟阵模糊基具有存在性、 等势性和交换性的条件, 通过引入有界性、 饱和性和强基好性的概念, 给出有界性与闭性、 饱和性与正则性、 强基好性与基好性之间的关系.

关键词: [0, 强基好性, 有界性, 1]-拟阵, 模糊基, 饱和性

Abstract: We further studied the conditions to ensure the existence of fuzzy bases for [0,1]-matroids, and to ensure that the fuzzy bases have equicardinal property and exchange property. We gave the relations between boundedness and closedness, between saturation and regularity, between strongly goodbase property and goodbase property by introducing the notions of boundedness, saturation and strongly goodbase property.

Key words: strongly goodbase property, boundedness, [0,1]-matroid, fuzzy base, saturation

中图分类号: 

  • O157