Abstract
In this research article, the fundamental properties of complex anti-fuzzy subgroups as well as the influence of group homomorphisms on their characteristics are investigated. Both the necessary and sufficient conditions for a complex anti-fuzzy subgroup are defined; additionally, the image, inverse image and some vital primary features of complex anti-fuzzy subgroups are examined. Moreover, the homomorphic and isomorphic relations of complex anti-fuzzy subgroups under group homomorphism are discussed, and numerical examples for various scenarios to describe complex anti-fuzzy symmetric groups are provided. Finally, it is proven that every homomorphic image of a complex anti-fuzzy cyclic group is cyclic, but the converse may not be true.
| Original language | English |
|---|---|
| Article number | 1693 |
| Journal | Symmetry |
| Volume | 15 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 4 Sept 2023 |
Keywords
- complex anti-fuzzy homomorphismcomplex anti-fuzzy homomorphism
- complex anti-fuzzy cyclic group
- complex anti-isomorphic images
- anti-fuzzy subgroups