G-V模糊拟阵模糊圈的极值问题  

The extremum problem of fuzzy circuits on G-V fuzzy matroids

作　　者：吴德垠[1] WU De-yin(The College of Mathematics and Statistics,Chongqing University,Chongqing 401331,China)

机构地区：[1]重庆大学数学与统计学院,重庆401331

出　　处：《东北师大学报（自然科学版）》2020年第2期9-18,共10页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61374078).

摘　　要：通过将模糊拟阵转化为导出拟阵序列和基本序列讨论了模糊拟阵模糊圈的许多极值问题.建立了支撑集模糊圈的最大(小)模糊势计算公式,以及圈子集套模糊圈的最大(小)模糊势计算公式;得到了构造支撑集最大模糊圈的方法;找到了支撑集最小模糊圈和圈子集套最大模糊圈各自存在的充要条件.This paper mainly adopts the method which the research of fuzzy matroids is exchanged the research of fundamental sequences and induced matroid sequences.The article has discovered four computational formulas.These formulas are the computational formulas of maximum(minimum)fuzzy potentials for support set fuzzy circuits,the computational formulas of maximum(minimum)fuzzy potentials for circuit-subset sets fuzzy circuits.Meanwile,two sufficient and necessary conditions have been got.One is used as describing the existence of the minimum fuzzy circuit for support sets.Another is used as describing the existence of the maximum fuzzy circuit for circuit-subset sets.

关 键 词：拟阵 模糊拟阵 导出圈函数 导出独立集函数 圈子集套 最大模糊圈 最小模糊圈 

分 类 号：O157[理学—数学]