On the solvability of bipolar max-product fuzzy relation equations with the standard negation
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912066640543744 |
|---|---|
| author | Cornejo, M. Eugenia Lobo, David Medina, Jesús |
| author_facet | Cornejo, M. Eugenia Lobo, David Medina, Jesús |
| contents | Bipolar fuzzy relation equations arise when unknown variables together with their logical negations appear simultaneously in fuzzy relation equations. This paper gives a characterization of the solvability of bipolar max product fuzzy (relation) equations with the standard negation. In addition, some properties associated with the existence of the greatest/least solution or maximal/minimal solutions are shown, when these (relation) equations are solvable. Different examples are included in order to clarify the developed theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07197 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the solvability of bipolar max-product fuzzy relation equations with the standard negation Cornejo, M. Eugenia Lobo, David Medina, Jesús General Mathematics Bipolar fuzzy relation equations arise when unknown variables together with their logical negations appear simultaneously in fuzzy relation equations. This paper gives a characterization of the solvability of bipolar max product fuzzy (relation) equations with the standard negation. In addition, some properties associated with the existence of the greatest/least solution or maximal/minimal solutions are shown, when these (relation) equations are solvable. Different examples are included in order to clarify the developed theory. |
| title | On the solvability of bipolar max-product fuzzy relation equations with the standard negation |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2410.07197 |