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。
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.
作者
吴德垠
杨高进
WU Deyin;YANG Gaojin(College of Mathematics and Statistics,Chongqing University,Chongqing 401331,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2020年第2期239-250,共12页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:61374078).
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
matroid
circuit axiom
fuzzy matroid
circuit function
circuit interval
generalized circuit function
circuit range
fuzzy circuit axiom
