TY - JOUR
T1 - Interval valued L-fuzzy cosets of nearrings and isomorphism theorems
AU - Kuncham, Syam Prasad
AU - Jagadeesha, B.
AU - Kedukodi, Babushri Srinivas
PY - 2016/6/1
Y1 - 2016/6/1
N2 - In this paper, we study homomorphic images of interval valued L-fuzzy ideals of a nearring. If f: N1→ N2 is an onto nearring homomorphism and μ^ is an interval valued L-fuzzy ideal of N2 then we prove that f- 1(μ^) is an interval valued L-fuzzy ideal of N1. If μ^ is an interval valued L-fuzzy ideal of N1 then we show that f(μ^) is an interval valued L-fuzzy ideal of N2 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.
AB - In this paper, we study homomorphic images of interval valued L-fuzzy ideals of a nearring. If f: N1→ N2 is an onto nearring homomorphism and μ^ is an interval valued L-fuzzy ideal of N2 then we prove that f- 1(μ^) is an interval valued L-fuzzy ideal of N1. If μ^ is an interval valued L-fuzzy ideal of N1 then we show that f(μ^) is an interval valued L-fuzzy ideal of N2 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.
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U2 - 10.1007/s13370-015-0348-1
DO - 10.1007/s13370-015-0348-1
M3 - Article
AN - SCOPUS:84971254431
SN - 1012-9405
VL - 27
SP - 393
EP - 408
JO - Afrika Matematika
JF - Afrika Matematika
IS - 3-4
ER -