We consider a mixed function of type H(z, (z) over bar) = f(z)(g) over bar (z) where f and g are holomorphic functions which are non-degenerate with respect to the Newton boundaries. We assume also that the variety f = g = 0 is a non-degenerate complete intersection variety. In our previous paper, we considered the case that f, g are convenient so that they have isolated singularities. In this paper we do not assume the convenience of f and g. In non-convenient case, two hypersurfaces may have non-isolated singularities at the origin. We will show that H still has both a tubular and a spherical Milnor fibrations under the local tame non-degeneracy and the toric multiplicity condition. We also prove the equivalence of two fibrations.
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