2-fuzzy Congruences on Semigroups

نویسندگان

  • Inheung Chon
  • INHEUNG CHON
چکیده

We define an 2-fuzzy congruence, which is a weakened fuzzy congruence, find the 2-fuzzy congruence generated by the union of two 2-fuzzy congruences on a semigroup, and characterize the 2-fuzzy congruences generated by fuzzy relations on semigroups. We also show that the collection of all 2-fuzzy congruences on a semigroup is a complete lattice and that the collection of 2-fuzzy congruences under some conditions is a modular lattice.

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تاریخ انتشار 2009