  In this paper, we define a quotient of the cyclotomic Hecke algebra of type
$G(r,1,n)$ as a generalisation of the Temperley-Lieb algebras of type $A$ and
$B$. We establish a graded cellular structure for the generalised
Temperley-Lieb algebra and, using the technology of $KLR$ algebras, determine
the corresponding decomposition matrix.
