\((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups
For all \(\lambda,\mu\in [0,1]\) such that \(\lambda<\mu\), we first introduced the definitions of \((\lambda,\mu)\)-fuzzy ideals and \((\lambda,\mu)\)-fuzzy interior ideals of an ordered \(\Gamma\)-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the \((\lamb...
Saved in:
| Date: | 2018 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/755 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| _version_ | 1856543068548759552 |
|---|---|
| author | Feng, Yuming Corsini, P. |
| author_facet | Feng, Yuming Corsini, P. |
| author_sort | Feng, Yuming |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T01:26:05Z |
| description | For all \(\lambda,\mu\in [0,1]\) such that \(\lambda<\mu\), we first introduced the definitions of \((\lambda,\mu)\)-fuzzy ideals and \((\lambda,\mu)\)-fuzzy interior ideals of an ordered \(\Gamma\)-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the \((\lambda,\mu)\)-fuzzy ideals and the \((\lambda,\mu)\)-fuzzy interior ideals coincide. Lastly, we introduced the concept of a \((\lambda,\mu)\)-fuzzy simple ordered \(\Gamma\)-semigroup and characterized the simple ordered \(\Gamma\)-semigroups in terms of \((\lambda,\mu)\)-fuzzy interior ideals. |
| first_indexed | 2025-12-02T15:27:45Z |
| format | Article |
| id | admjournalluguniveduua-article-755 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:27:45Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-7552018-04-26T01:26:05Z \((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups Feng, Yuming Corsini, P. \(\Gamma\)-semigroup; \((\lambda,\mu)\)-fuzzy interior ideal; \((\lambda,\mu)\)-fuzzy simple; regular ordered \(\Gamma\)-semigroup; intra-regular ordered \(\Gamma\)-semigroup For all \(\lambda,\mu\in [0,1]\) such that \(\lambda<\mu\), we first introduced the definitions of \((\lambda,\mu)\)-fuzzy ideals and \((\lambda,\mu)\)-fuzzy interior ideals of an ordered \(\Gamma\)-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the \((\lambda,\mu)\)-fuzzy ideals and the \((\lambda,\mu)\)-fuzzy interior ideals coincide. Lastly, we introduced the concept of a \((\lambda,\mu)\)-fuzzy simple ordered \(\Gamma\)-semigroup and characterized the simple ordered \(\Gamma\)-semigroups in terms of \((\lambda,\mu)\)-fuzzy interior ideals. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/755 Algebra and Discrete Mathematics; Vol 16, No 1 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/755/284 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | \(\Gamma\)-semigroup \((\lambda,\mu)\)-fuzzy interior ideal \((\lambda,\mu)\)-fuzzy simple regular ordered \(\Gamma\)-semigroup intra-regular ordered \(\Gamma\)-semigroup Feng, Yuming Corsini, P. \((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups |
| title | \((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups |
| title_full | \((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups |
| title_fullStr | \((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups |
| title_full_unstemmed | \((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups |
| title_short | \((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups |
| title_sort | \((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\gamma\)-semigroups |
| topic | \(\Gamma\)-semigroup \((\lambda,\mu)\)-fuzzy interior ideal \((\lambda,\mu)\)-fuzzy simple regular ordered \(\Gamma\)-semigroup intra-regular ordered \(\Gamma\)-semigroup |
| topic_facet | \(\Gamma\)-semigroup \((\lambda,\mu)\)-fuzzy interior ideal \((\lambda,\mu)\)-fuzzy simple regular ordered \(\Gamma\)-semigroup intra-regular ordered \(\Gamma\)-semigroup |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/755 |
| work_keys_str_mv | AT fengyuming lambdamufuzzyinterioridealsoforderedgammasemigroups AT corsinip lambdamufuzzyinterioridealsoforderedgammasemigroups |