CROSS PRODUCT OF IDEAL FUZZY SEMIRING
If one of the axioms in the ring, namely the inverse axiom in the addition operation, is omitted, it will produce another algebraic structure, namely a semiring. Analogous to a ring, there are zero elements, ideal (left/right) in a semiring, and the cross product of the semiring ideal. The analog of...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universitas Pattimura
2023-06-01
|
| Series: | Barekeng |
| Subjects: | |
| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8316 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849239552386924544 |
|---|---|
| author | Saman Abdurrahman |
| author_facet | Saman Abdurrahman |
| author_sort | Saman Abdurrahman |
| collection | DOAJ |
| description | If one of the axioms in the ring, namely the inverse axiom in the addition operation, is omitted, it will produce another algebraic structure, namely a semiring. Analogous to a ring, there are zero elements, ideal (left/right) in a semiring, and the cross product of the semiring ideal. The analog of the fuzzy semiring has zero elements, ideal (left/right), and the cross product of the semiring fuzzy ideal associated with the membership value. This paper will discuss the cross-product of two (more) fuzzy ideals from a semiring. Furthermore, the cross-product of two (more) fuzzy ideals from a semiring will always be a semiring fuzzy ideal. But the converse is not necessarily true. |
| format | Article |
| id | doaj-art-dbb82d3f55d24289806928d19fcac867 |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-dbb82d3f55d24289806928d19fcac8672025-08-20T04:00:55ZengUniversitas PattimuraBarekeng1978-72272615-30172023-06-011721131113810.30598/barekengvol17iss2pp1131-11388316CROSS PRODUCT OF IDEAL FUZZY SEMIRINGSaman Abdurrahman0Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Lambung Mangkurat, IndonesiaIf one of the axioms in the ring, namely the inverse axiom in the addition operation, is omitted, it will produce another algebraic structure, namely a semiring. Analogous to a ring, there are zero elements, ideal (left/right) in a semiring, and the cross product of the semiring ideal. The analog of the fuzzy semiring has zero elements, ideal (left/right), and the cross product of the semiring fuzzy ideal associated with the membership value. This paper will discuss the cross-product of two (more) fuzzy ideals from a semiring. Furthermore, the cross-product of two (more) fuzzy ideals from a semiring will always be a semiring fuzzy ideal. But the converse is not necessarily true.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8316semiringidealcross productfuzzy ideal |
| spellingShingle | Saman Abdurrahman CROSS PRODUCT OF IDEAL FUZZY SEMIRING Barekeng semiring ideal cross product fuzzy ideal |
| title | CROSS PRODUCT OF IDEAL FUZZY SEMIRING |
| title_full | CROSS PRODUCT OF IDEAL FUZZY SEMIRING |
| title_fullStr | CROSS PRODUCT OF IDEAL FUZZY SEMIRING |
| title_full_unstemmed | CROSS PRODUCT OF IDEAL FUZZY SEMIRING |
| title_short | CROSS PRODUCT OF IDEAL FUZZY SEMIRING |
| title_sort | cross product of ideal fuzzy semiring |
| topic | semiring ideal cross product fuzzy ideal |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8316 |
| work_keys_str_mv | AT samanabdurrahman crossproductofidealfuzzysemiring |