Characterizations of Fuzzy Ideals in Coresiduated Lattices
The notions of fuzzy ideals are introduced in coresiduated lattices. The characterizations of fuzzy ideals, fuzzy prime ideals, and fuzzy strong prime ideals in coresiduated lattices are investigated and the relations between ideals and fuzzy ideals are established. Moreover, the equivalence of fuzz...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/6423735 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561252869603328 |
|---|---|
| author | Yan Liu Mucong Zheng |
| author_facet | Yan Liu Mucong Zheng |
| author_sort | Yan Liu |
| collection | DOAJ |
| description | The notions of fuzzy ideals are introduced in coresiduated lattices. The characterizations of fuzzy ideals, fuzzy prime ideals, and fuzzy strong prime ideals in coresiduated lattices are investigated and the relations between ideals and fuzzy ideals are established. Moreover, the equivalence of fuzzy prime ideals and fuzzy strong prime ideals is proved in prelinear coresiduated lattices. Furthermore, the conditions under which a fuzzy prime ideal is derived from a fuzzy ideal are presented in prelinear coresiduated lattices. |
| format | Article |
| id | doaj-art-de16b13ec3334969b8fa41e5edfa6ab3 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-de16b13ec3334969b8fa41e5edfa6ab32025-02-03T01:25:41ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/64237356423735Characterizations of Fuzzy Ideals in Coresiduated LatticesYan Liu0Mucong Zheng1College of Science, Xi’an University of Science and Technology, Xi’an 710054, ChinaSchool of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, ChinaThe notions of fuzzy ideals are introduced in coresiduated lattices. The characterizations of fuzzy ideals, fuzzy prime ideals, and fuzzy strong prime ideals in coresiduated lattices are investigated and the relations between ideals and fuzzy ideals are established. Moreover, the equivalence of fuzzy prime ideals and fuzzy strong prime ideals is proved in prelinear coresiduated lattices. Furthermore, the conditions under which a fuzzy prime ideal is derived from a fuzzy ideal are presented in prelinear coresiduated lattices.http://dx.doi.org/10.1155/2016/6423735 |
| spellingShingle | Yan Liu Mucong Zheng Characterizations of Fuzzy Ideals in Coresiduated Lattices Advances in Mathematical Physics |
| title | Characterizations of Fuzzy Ideals in Coresiduated Lattices |
| title_full | Characterizations of Fuzzy Ideals in Coresiduated Lattices |
| title_fullStr | Characterizations of Fuzzy Ideals in Coresiduated Lattices |
| title_full_unstemmed | Characterizations of Fuzzy Ideals in Coresiduated Lattices |
| title_short | Characterizations of Fuzzy Ideals in Coresiduated Lattices |
| title_sort | characterizations of fuzzy ideals in coresiduated lattices |
| url | http://dx.doi.org/10.1155/2016/6423735 |
| work_keys_str_mv | AT yanliu characterizationsoffuzzyidealsincoresiduatedlattices AT mucongzheng characterizationsoffuzzyidealsincoresiduatedlattices |