TITLE:
The Study on the (L,M)-Fuzzy Independent Set Systems
AUTHORS:
Chun-E Huang, Zhongli Liu, Yan Song, Xiruo Wang
KEYWORDS:
Pre-Independent L-Fuzzy Set System, Independent L-Fuzzy Set System, Independent M-Fuzzifying Set System, Independent (L, M)-Fuzzy Set System
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.6 No.13,
December
28,
2016
ABSTRACT: 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 inL-fuzzy setting are presented. IndependentM-fuzzifying set system is introduced and someofits properties are discussed. Further independent (L,M)-fuzzy set system is given and someofits properties are obtained. The relations of these independent set systems in the setting of fuzzy vector spaces and fuzzy graphs are showed.