初等模糊拟阵与基本截片模糊拟阵的若干性质  

On Elementary Fuzzy Matroids and Elementary Section Fuzzy Matroids

作　　者：李尧龙[1] 

机构地区：[1]渭南师范学院数学与信息科学学院,陕西渭南714000

出　　处：《模糊系统与数学》2013年第4期106-111,共6页Fuzzy Systems and Mathematics

基　　金：陕西省自然科学基础研究计划项目(2011JM1010);陕西省教育厅科研基金资助项目(11JK0480)

摘　　要：对两种初等模糊拟阵和基本截片模糊拟阵的定义进行了比较,研究了它们之间的关系。研究了初等模糊拟阵的若干性质,得到了初等模糊拟阵和基本截片模糊拟阵为闭正则模糊拟阵等结论,给出了初等模糊拟阵的等价刻画以及初等模糊拟阵与其截拟阵之间的关系。The definitions of elementary fuzzy matroid and elementary section fuzzy matroid are compared. the connection of two elementary fuzzy matroids are discussed. Some properties of elementary fuzzymatroid and elementary section fuzzy matroid are studied. Characteristic theorems of elementary fuzzy matroids and elementary section fuzzy matroids are presented and the relation of elementary fuzzy matroid and their cut matroid are given.

关 键 词：模糊拟阵 初等模糊拟阵 闭正则模糊拟阵 截拟阵 

分 类 号：O157[理学—数学]