研究模糊拟阵的一种新方法  

A New Method of Reserching Fuzzy Matroids

作　　者：吴德垠[1] 张忠[1] WU De-yin;ZHANG Zhong(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：《模糊系统与数学》2018年第4期24-31,共8页Fuzzy Systems and Mathematics

摘　　要：本文根据模糊集合的表示方法,在模糊拟阵中提出"基子集套"概念。然后,利用"基子集套"概念描述了闭模糊拟阵的模糊基结构,并给出了闭模糊拟阵的充要条件、闭正规模糊拟阵的充要条件和准模糊图拟阵的充要条件。According to a representation method for fuzzy set, the paper has proposed ＂Base Subsetsets＂ in fuzzy matroids. With help of base subset-sets, this paper has provided the structure theorem for fuzzy bases of fuzzy matroids. Then, the paper has discovered sufficient and necessary conditions for closed fuzzy matroids, closed regular fuzzy matroids, and quasi-fuzzy graph matriods.

关 键 词：拟阵 模糊拟阵 闭模糊拟阵 正规模糊拟阵 准模糊图拟阵 基子集套 

分 类 号：O157[理学—数学] O159[理学—基础数学]