Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring
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 hy...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/173267 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850171131300937728 |
|---|---|
| author | Hongjie Li Zeyuan Li Yunqiang Yin |
| author_facet | Hongjie Li Zeyuan Li Yunqiang Yin |
| author_sort | Hongjie Li |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-9d15c41f1cf74e989c7a0c5dc368f90c |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9d15c41f1cf74e989c7a0c5dc368f90c2025-08-20T02:20:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/173267173267Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a HyperringHongjie Li0Zeyuan Li1Yunqiang Yin2Mathematics Department, Zhoukou Normal University, Zhoukou 466001, ChinaCollege of Mechanical and Electrical Engineering, Harbin Institute of Technology, Harbin 150001, ChinaCollege of Sciences, East China Institute of Technology, Nanchang 330013, ChinaSome 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.http://dx.doi.org/10.1155/2014/173267 |
| spellingShingle | Hongjie Li Zeyuan Li Yunqiang Yin Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring Journal of Applied Mathematics |
| title | Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring |
| title_full | Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring |
| title_fullStr | Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring |
| title_full_unstemmed | Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring |
| title_short | Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring |
| title_sort | some generalized forms of fuzzy interval valued hyperideals in a hyperring |
| url | http://dx.doi.org/10.1155/2014/173267 |
| work_keys_str_mv | AT hongjieli somegeneralizedformsoffuzzyintervalvaluedhyperidealsinahyperring AT zeyuanli somegeneralizedformsoffuzzyintervalvaluedhyperidealsinahyperring AT yunqiangyin somegeneralizedformsoffuzzyintervalvaluedhyperidealsinahyperring |