  We study the monogamy and polygamy relations related to quantum correlations
for multipartite quantum systems in a unified manner. It is known that any
bipartite measure obeys monogamy and polygamy relations for the $r$-power of
the measure. We show in a uniformed manner that the generalized monogamy and
polygamy relations are transitive to other powers of the measure in weighted
forms. We demonstrate that our weighted monogamy and polygamy relations are
stronger than recently available relations. Comparisons are given in detailed
examples which show that our results are stronger in both situations.
