闭模糊拟阵导出独立集的等价描述  

Equivalent Description of Closed Fuzzy Matriodsby Induced Independent Sets

作　　者：吴德垠[1] WU Deyin(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：《吉林大学学报（理学版）》2022年第3期514-520,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:61374078).

摘　　要：利用闭模糊拟阵可由基本序列和导出拟阵序列唯一确定的方法,提出并证明一个子集族、一个数列和由该子集族到该数列的一个满射,在满足规范性、继承性、强单调减和增长性的条件下唯一确定一个闭模糊拟阵,反之亦然.该等价描述建立了普通集族与模糊独立集族的联系.By using the method that a closed fuzzy matroid could be uniquely determined from the basic sequence and the derived matroid sequence,the author proposed and proved that a subset family,a sequence,and a surjection from the subset family to the sequence could uniquely determine a closed fuzzy matroid under the conditions of normality,inheritance,strong monotonic subtraction and growth,and vice versa.The equivalent description established the relationship between the family of ordinary sets and the family of fuzzy independent sets.

关 键 词：拟阵 模糊拟阵 闭模糊拟阵 导出独立集族 导出独立集映射 导出独立集公理 

分 类 号：O157[理学—数学] O159[理学—基础数学]