Fuzzy Filters of Pre-ordered Residuated Systems
<p>‎‎Using the concept of fuzzy points‎, ‎the notion of fuzzy filters in pre-ordered residuated systems is introduced‎, ‎and their relevant properties are investigated and analyzed‎. ‎Characterization of fuzzy filters are displaye...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University, Bandar Abbas Branch
2025-02-01
|
| Series: | Transactions on Fuzzy Sets and Systems |
| Subjects: | |
| Online Access: | https://sanad.iau.ir/journal/tfss/Article/1129288 |
| _version_ | 1826805294947106816 |
|---|---|
| author | Young Bae Jun |
| author_facet | Young Bae Jun |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | <p>‎‎Using the concept of fuzzy points‎, ‎the notion of fuzzy filters in pre-ordered residuated systems is introduced‎, ‎and their relevant properties are investigated and analyzed‎. ‎Characterization of fuzzy filters are displayed‎. ‎Fuzzy filters are formed using filters‎. ‎The concepts of positive set‎, ‎$\in_{t}$-set‎, ‎(extended) $q_{t}$-set are defined and the conditions under which they become filters are explored‎. ‎The concept of fuzzy filter with thresholds is introduced and related properties are investigated‎.</p> |
| first_indexed | 2025-03-17T02:08:10Z |
| format | Article |
| id | doaj.art-9cd2ba0abaab45419ba7665d460f29f2 |
| institution | Directory Open Access Journal |
| issn | 2821-0131 |
| language | English |
| last_indexed | 2025-03-17T02:08:10Z |
| publishDate | 2025-02-01 |
| publisher | Islamic Azad University, Bandar Abbas Branch |
| record_format | Article |
| series | Transactions on Fuzzy Sets and Systems |
| spelling | doaj.art-9cd2ba0abaab45419ba7665d460f29f22025-02-13T09:09:29ZengIslamic Azad University, Bandar Abbas BranchTransactions on Fuzzy Sets and Systems2821-01312025-02-01413041Fuzzy Filters of Pre-ordered Residuated SystemsYoung Bae Jun<p>‎‎Using the concept of fuzzy points‎, ‎the notion of fuzzy filters in pre-ordered residuated systems is introduced‎, ‎and their relevant properties are investigated and analyzed‎. ‎Characterization of fuzzy filters are displayed‎. ‎Fuzzy filters are formed using filters‎. ‎The concepts of positive set‎, ‎$\in_{t}$-set‎, ‎(extended) $q_{t}$-set are defined and the conditions under which they become filters are explored‎. ‎The concept of fuzzy filter with thresholds is introduced and related properties are investigated‎.</p>https://sanad.iau.ir/journal/tfss/Article/1129288residuated relational system pre-ordered residuated system filter $\in_{t}$-set (extended) $q_{t}$-set positive set. |
| spellingShingle | Young Bae Jun Fuzzy Filters of Pre-ordered Residuated Systems Transactions on Fuzzy Sets and Systems residuated relational system pre-ordered residuated system filter $\in_{t}$-set (extended) $q_{t}$-set positive set. |
| title | Fuzzy Filters of Pre-ordered Residuated Systems |
| title_full | Fuzzy Filters of Pre-ordered Residuated Systems |
| title_fullStr | Fuzzy Filters of Pre-ordered Residuated Systems |
| title_full_unstemmed | Fuzzy Filters of Pre-ordered Residuated Systems |
| title_short | Fuzzy Filters of Pre-ordered Residuated Systems |
| title_sort | fuzzy filters of pre ordered residuated systems |
| topic | residuated relational system pre-ordered residuated system filter $\in_{t}$-set (extended) $q_{t}$-set positive set. |
| url | https://sanad.iau.ir/journal/tfss/Article/1129288 |
| work_keys_str_mv | AT youngbaejun fuzzyfiltersofpreorderedresiduatedsystems |