Interval valued L-fuzzy cosets of nearrings and isomorphism theorems

In this paper, we study homomorphic images of interval valued L-fuzzy ideals of a nearring. If f : N 1 → N 2 is an onto nearring homomorphism and μ ^ is an interval valued L-fuzzy ideal of N 2 then we prove that f - 1 ( μ ^ ) is an interval valued L-fuzzy ideal of N 1 . If μ ^ is an interval valued L-fuzzy ideal of N 1 then we show that f ( μ ^ ) is an interval valued L-fuzzy ideal of N 2 whenever μ ^ is invariant under f and interval valued t-norm is idempotent. Finally, we define interval valued L-fuzzy cosets and prove isomorphism theorems.