(∈̄, ∈̄ ∨ 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

Volume

1

fYear

2011

fDate

26-28 July 2011

Firstpage

1

Lastpage

5

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-61284-180-9

Type

conf

DOI

10.1109/FSKD.2011.6019521

Filename

6019521