ε-FUZZY CONGRUENCES ON SEMIGROUPS

Title & Authors
ε-FUZZY CONGRUENCES ON SEMIGROUPS
Chon, In-Heung;

Abstract
We define an $\small{\epsilon}$-fuzzy congruence, which is a weakened fuzzy congruence, find the $\small{\epsilon}$-fuzzy congruence generated by the union of two $\small{\epsilon}$-fuzzy congruences on a semigroup, and characterize the $\small{\epsilon}$-fuzzy congruences generated by fuzzy relations on semigroups. We also show that the collection of all $\small{\epsilon}$-fuzzy congruences on a semigroup is a complete lattice and that the collection of $\small{\epsilon}$-fuzzy congruences under some conditions is a modular lattice.ࠀȀ耀
Keywords
$\small{\epsilon}$-reflexive fuzzy relation;$\small{\epsilon}$-fuzzy equivalence relation;$\small{\epsilon}$-fuzzy congruence;
Language
English
Cited by
1.
Fuzzy congruence relations in CI-algebras, Neural Computing and Applications, 2012, 21, S1, 319
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