Title :
(∈̄, ∈̄ ∨ q̄(λ,μ))-fuzzy weak ideals of rings
Author :
Zuhua Liao ; Shu Cao ; Qinghe Tian ; Miaohan Hu ; Yang Zhang
Author_Institution :
Sch. of Sci., Jiangnan Univ., Wuxi, China
Abstract :
In this paper, we introduce the new type of fuzzy ideals of a ring called (ϵ, ϵ vq̅(λ,μ)) - fuzzy weak ideals and generalized fuzzy weak ideals. The equivalence relation between them is given, besides, the properties of their intersection, union and level sets are discussed. Finally, we also give the properties of their homomorphic image and homomorphic preimage.
Keywords :
fuzzy set theory; group theory; (ϵ, ϵ vq̅(λ,μ))-fuzzy weak ideals; fuzzy algebra; fuzzy sets; fuzzy subgroup; generalized fuzzy weak ideals; homomorphic image; homomorphic preimage; intersection sets; level sets; union sets; Educational institutions; Fuzzy sets; Fuzzy systems; Level set; Presses; (∈̄, ∈̄ ∨ q̄(λ,μ)) - fuzzy weak ideals; fuzzy weak ideals; generalized fuzzy weak ideals; homomorphic image; homomorphic preimage; level sets;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-61284-180-9
DOI :
10.1109/FSKD.2011.6019518
