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https://doi.org/10.1081/agb-120005830

has been cited by the following article:

• TITLE: Research on Nilpotent Groups Based on Fuzzy Hypergroups

  AUTHORS: Yi Yan, Yan Yan, Xinru Shang

  KEYWORDS: Fuzzy Hypergroup, Equivalence Relation, Strong Fuzzy Regular Relation, Nilpotent Group

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.1, January 16, 2025

  ABSTRACT: In this paper, by constructing the smallest equivalence relation θ ∗ on a finite fuzzy hypergroup H , the quotient group (the set of equivalence classes) H/ θ ∗ is a nilpotent group, and the nilpotent group is characterized by the strong fuzzy regularity of the equivalence relation. Finally, the concept of θ -part of fuzzy hypergroup is introduced to determine the necessary and sufficient condition for the equivalence relation θ to be transitive.