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Keywords = complex anti-fuzzy homomorphism

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14 pages, 297 KiB  
Article
A Novel Concept of Complex Anti-Fuzzy Isomorphism over Groups
by Bander Almutairi, Arshad Ali, Qin Xin and Adnan Khan
Symmetry 2023, 15(9), 1693; https://doi.org/10.3390/sym15091693 - 4 Sep 2023
Cited by 1 | Viewed by 1284
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 [...] Read more.
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. Full article
(This article belongs to the Section Mathematics)
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