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New Fundamental Relation on Fuzzy Hypersemigroups

Author

Listed:
  • N. Firouzkouhi

    (Department of Mathematics, Golestan University, Gorgan, Iran)

  • R. Ameri

    (��School of Mathematics, Statistic and Computer Sciences, University of Tehran, Tehran, Iran)

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.

Suggested Citation

  • N. Firouzkouhi & R. Ameri, 2022. "New Fundamental Relation on Fuzzy Hypersemigroups," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 209-217, March.
    • Handle: RePEc:wsi:nmncxx:v:18:y:2022:i:01:n:s1793005722500120
    DOI: 10.1142/S1793005722500120
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