There are many methods of multicriteria decision analysis (MCDA), each one with properties and benefits. In the Architecture, Engineering, and Construction (AEC) sector most of the time, the decision-making involve different interest of the stakeholders of the projects, must of the times applying methods with the focus on the result. This paper presents a case study of a new University's facility construction that compares the traditional decision-making approach used in the design-bid-build procurement method of AEC industry in Colombia with an MCDA approach. Choosing By Advantages (CBA) has been used to analyse the reasons that could help explain why the subcontractor of a project construction was not meeting the client's expectations during project execution. Results include a discussion of main differences between these decision methods, the main difference is that in traditional decision-making approach the main criterion was cost while in the CBA was value. Consequently, the method's results were different for the alternatives.