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Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring

Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring

Authors :
Hongjie Li
Zeyuan Li
Yunqiang Yin
Source :
Journal of Applied Mathematics, Vol 2014 (2014)
Publication Year :
2014
Publisher :
Hindawi Limited, 2014.

Abstract

Some generalized forms of the hyperideals of a hyperring in the paper of Zhan et al. (2008) will be given. As a generalization of the interval valued (α,β)-fuzzy hyperideals of a hyperring with α,β∈{∈,q,∈∧q,∈∨q} and α≠∈∧q, the notion of generalized interval valued (α,β)-fuzzy hyperideals of a hyperring is also introduced. Special attention is concentrated on the interval valued (∈γ~,∈γ~∨qδ~)-fuzzy hyperideals. As a consequence, some characterizations theorems of interval valued (∈γ~,∈γ~∨qδ~)-fuzzy hyperideals will be provided.

Subjects

Subjects :
Mathematics
QA1-939

Details

Language :
English
ISSN :
1110757X and 16870042
Volume :
2014
Database :
Directory of Open Access Journals
Journal :
Journal of Applied Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.9d15c41f1cf74e989c7a0c5dc368f90c
Document Type :
article
Full Text :
https://doi.org/10.1155/2014/173267