吉林大学学报(理学版) ›› 2020, Vol. 58 ›› Issue (2): 239-250.

• 数学 • 上一篇    下一篇

闭G-V模糊拟阵的模糊圈公理

吴德垠, 杨高进   

  1. 重庆大学 数学与统计学院, 重庆 401331
  • 收稿日期:2019-02-25 出版日期:2020-03-26 发布日期:2020-03-25
  • 通讯作者: 吴德垠 E-mail:wdy@cqu.edu.cn

Fuzzy Circuit Axioms of Closed G-V Fuzzy Matroids

WU Deyin, YANG Gaojin   

  1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
  • Received:2019-02-25 Online:2020-03-26 Published:2020-03-25
  • Contact: WU Deyin E-mail:wdy@cqu.edu.cn

摘要: 采用类似拟阵圈公理的方法, 讨论闭GV模糊拟阵的模糊圈公理. 首先给出G-V模糊拟阵模糊圈的若干性质; 然后利用这些性质, 讨论如何利用初等模糊圈集确定G-V模糊拟阵; 最后提出并证明闭GV模糊拟阵的模糊圈公理. 由该公理可知, 一个初等模糊集族、 一组有限数列和一个模糊集映射, 在满足一定条件下可唯一确定一个闭G-V模糊拟阵.

关键词: 拟阵, 圈公理, 模糊拟阵, 圈函数, 圈区间, 广义圈函数, 圈范围, 模糊圈公理

Abstract: Using the method similar to the circuit axioms of matroids, we discussed fuzzy circuit axioms of closed GV fuzzy matroids. 
Firstly, we gave some  properties of fuzzy circuits of G-V fuzzy matroids. Secondly, using these properties, we discussed how to use elementary fuzzy circuit sets to determine G-V fuzzy matroids. Finally, we proposed and proved a fuzzy circuit axiom of closed G-V fuzzy matroids. According to  this  axiom,  a collection of elementary fuzzy sets, a finite number sequence and a mapping of fuzzy sets could  uniquely determine a closed G-V fuzzy matroid under certain conditions.

Key words: matroid, circuit axiom, fuzzy matroid, circuit function, circuit interval, generalized circuit function, circuit range, fuzzy circuit axiom

中图分类号: 

  • O157