A Novel Concept of Complex Anti-Fuzzy Isomorphism over Groups

Bander Almutairi, Arshad Ali, Qin Xin, Adnan Khan

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Article number1693
Issue number9
Publication statusPublished - 4 Sept 2023


  • complex anti-fuzzy homomorphismcomplex anti-fuzzy homomorphism
  • complex anti-fuzzy cyclic group
  • complex anti-isomorphic images
  • anti-fuzzy subgroups


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