Title :
(∈̄, ∈̄ ∨ q̄(λ,μ))-fuzzy ideals of rings
Author :
Zuhua Liao ; Shu Cao ; Ziyan Guo ; Yang Zhang
Author_Institution :
Sch. of Sci., Jiangnan Univ., Wuxi, China
Abstract :
Our aim in this paper is to introduce and study the new type of fuzzy ideals of a ring called (∈, ∈ vq(λμ)) - fuzzy left (resp. right) ideals, (∈, ∈ vq(λμ)) - fuzzy bi- (resp. interior) ideals, generalized anti-fuzzy left (resp. right) ideals and generalized anti-fuzzy bi-(resp. interior) ideals. The equivalence relation between them is given, besides, the properties of their anti level sets are also discussed. Finally, we give the properties of their homomorphic image and homomorphic preimage.
Keywords :
fuzzy set theory; (∈, ∈ vq(λμ))-fuzzy bi-(resp. interior) ideals; (∈, ∈ vq(λμ))-fuzzy ideals of rings; (∈, ∈ vq(λμ))-fuzzy left (resp. right) ideals; anti-level sets; fuzzy sets; generalized anti-fuzzy bi-(resp. interior) ideals; generalized anti-fuzzy left (resp. right) ideals; homomorphic image; homomorphic preimage; Conferences; Educational institutions; Fuzzy sets; Fuzzy systems; Level set; (∈̄, ∈̄ ∨ q̄(λ,μ)) - fuzzy ideals; anti-level sets; generalized anti-fuzzy ideals; homomorphic image; homomorphic preimage;
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.2011.6019521
