New Fundamental Relation on Fuzzy Hypersemigroups

N. Firouzkouhi and R. Ameri ()
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N. Firouzkouhi: Department of Mathematics, Golestan University, Gorgan, Iran
R. Ameri: ��School of Mathematics, Statistic and Computer Sciences, University of Tehran, Tehran, Iran

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 01, 209-217

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.

Keywords: Fuzzy hypergroup; fuzzy strongly regular relation; fundamental relation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S1793005722500120

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