Abstract
The important implements in the fuzzy hyperstructure theory are fundamental relations to acquire universal algebras. The fundamental relation on a fuzzy hypersemigroup(hypergroup) is introduced as the smallest equivalence relation such that the factor would be a semigroup (group). In this study, a novel fuzzy strongly regular relation on a fuzzy hypersemigroup (hypergroup) is characterized so that the quotient is a commutative semigroup (group). The necessary and sufficient circumstances are expressed in which the given relation is transitive.
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