Fuzzy congruence on product lattices under T-norms

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In this paper, by using T-norms, we define the concept of fuzzy congruence on lattice X and if Y be another lattice, then we introduce the concept of fuzzy congruence on the product X × Y under T-norms. Alsobyusing T-norms, we prove that for every fuzzy congruence relation ρ on X × Y the fuzzy congruences ρ X and ρ Y can be defined on X and Y respectively such that ρ = ρ X × ρ Y