The main objective of this paper is to introduce the congruence relations on the set of all fuzzy ℓ - ideals of ℓ-group. Let F be the set of all fuzzy ℓ-ideals deﬁned on the lattice ordered group G. We introduce the congruence relations on F and derived some intresting results on the relation between F and its congruence relations. Also we established some important results on congruence relations by using the operations on fuzzy ℓ-ideals.
Digital Object Identifier (DOI)
Bharathi, P.; Vimala, J.; Vijayalakshmi, L.; and Reeta, Arockia
"Some Contributions of Congruence Relations on Lattice of Fuzzy ℓ-ideals,"
Applied Mathematics & Information Sciences: Vol. 11
, Article 20.
Available at: https://dc.naturalspublishing.com/amis/vol11/iss2/20