Applying weak disposability assumption of outputs is a common way in Data Envelopment Analysis in dealing with undesirable outputs. Two different approaches are proposed in the literature for modeling weak disposability axiom. In this paper, the technologies created with uniform and distinct abatement factors for decision making units are investigated in network DEA framework. The related DEA models for efficiency evaluation and target setting are introduced and compared. It is shown by numerical examples that the proposed model defined with distinct abatement factors has more discriminatory power than the same model defined with uniform abatement factor.