This paper presents a multicriteria decision model to support decision maker choices regarding alternatives of building power transmission lines. The decision model aggregates different objectives through an additive utility function taking into account the appropriate independence utility conditions of multiattribute utility theory. Several aspects regarding cost and scheduling commitment have been taken into account. These attributes are aggregated trough an additive utility function. Also, aspects related to the behavior of the decision maker regarding risk (aversion, neutral and prone) are formulated within the decision model. A case study based on a real situation is analyzed. A sensitivity analysis illustrates the robustness of the theory. The case study is concerned with a decision maker choice regarding alternatives to building a 500kV power transmission line, crossing over a 230kV transmission line in operation. Several attributes related to cost and scheduling commitment are aggregated trough a multiattribute utility function and the behaviors of the decision maker regarding risk are formulated within the decision model. The paper presents the mathematical formulation of the decision model.