This paper introduces a new lifetime model which is a generalization of the transmuted exponentiated additive Weibull
distribution by using the Kumaraswamy generalized (Kw-G) distribution. With the particular case no less than seventy
nine sub models as special cases, the so-called Kumaraswamy transmuted exponentiated additive Weibull distribution,
introduced by Cordeiro and de Castro (2011) is one of this particular cases. Further, expressions for several probabilistic
measures are provided, such as probability density function, hazard function, moments, quantile function, mean, variance
and median, moment generation function, R ´ enyi and q entropies, order estatistics, etc. Inference is maximum likelihood
based and the usefulness of the model is showed by using a real dataset.