The Study on the (L,M)-Fuzzy Independent Set Systems

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.