文献类型：期刊文献

中文题名：The Study on the (L,M)-Fuzzy Independent Set Systems

英文题名：The Study on the (L,M)-Fuzzy Independent Set Systems

作者：Chun-E Huang[1];Zhongli Liu[1];Yan Song[2];Xiruo Wang[2]

第一作者：Chun-E Huang

机构：[1]College of Biochemical Engineering, Beijing Union University, Beijing, China;[2]Mudanjiang Normal University, Mudanjiang, China

第一机构：北京联合大学生物化学工程学院

年份：2016

卷号：6

期号：13

起止页码：1057-1064

中文期刊名：理论数学进展（英文）

外文期刊名：Advances in Pure Mathematics

语种：英文

中文关键词：Pre-Independent L-Fuzzy Set System;Independent L-Fuzzy Set System;Independent M-Fuzzifying Set System;Independent (L;M)-Fuzzy Set System

外文关键词：Pre-Independent L-Fuzzy Set System;Independent L-Fuzzy Set System;Independent M-Fuzzifying Set System;Independent (L;M)-Fuzzy Set System

摘要：Independent sets play an important role in matroid theory. In this paper, the definitions of pre-independent fuzzy set system and independent fuzzy set system in?L-fuzzy setting are presented. Independent?M-fuzzifying set system is introduced and some?of?its properties are discussed. Further independent (L,M)-fuzzy set system is given and some?of?its properties are obtained. The relations of these independent set systems in the setting of fuzzy vector spaces and fuzzy graphs are showed.
Independent sets play an important role in matroid theory. In this paper, the definitions of pre-independent fuzzy set system and independent fuzzy set system in?L-fuzzy setting are presented. Independent?M-fuzzifying set system is introduced and some?of?its properties are discussed. Further independent (L,M)-fuzzy set system is given and some?of?its properties are obtained. The relations of these independent set systems in the setting of fuzzy vector spaces and fuzzy graphs are showed.