%0 Journal Article %T Limites para efici¨ºncias n£¿o radiais em DEA: uma abordagem vectorial %A Mello %A Jo£¿o Carlos Correia Baptista Soares de %A Meza %A Lidia Angulo %A Gomes %A Eliane Gon£¿alves %A Biondi Neto %A Luiz %J Investiga£¿£¿o Operacional %D 2005 %I Scientific Electronic Library Online %X this paper presents a new approach to evaluate non-radial dea efficiencies. this approach uses vector formulation to non-radial efficiencies. we propose the construction of an efficiency vector that leads to an index, which is an upper bound for the non-radial efficiency module. we also perform the evaluation of a lower limit for the same index. the developments here proposed are for dea bcc model, as for the ccr model the efficiencies are the same independently from the projection region. the proposed score is applied in a numeric example. %K dea %K directional efficiency %K vectors projection. %U http://www.scielo.gpeari.mctes.pt/scielo.php?script=sci_abstract&pid=S0874-51612005000200005&lng=en&nrm=iso&tlng=en