AHP is one of the main mathematical models currently available to support the decision theory.
When looking into how organizations decide over which projects to execute, we notice a constant desire to have clear, objective, and mathematical criteria (Haas & Meixner, 2005). However, decision making is, in its totality, a cognitive and mental process derived from the most possible adequate selection based on tangible and intangible criteria (Saaty, 2009), which are arbitrarily chosen by those who make the decisions.
This paper also discusses the importance and some possible criteria for prioritizing projects, and by using a fictitious project prioritization example, it demonstrates AHP in a step-by-step manner, where the resulting priorities are shown and the possible inconsistencies are determined.
Online AHP Tool: https://bpmsg.com/ahp/Using-the-analytic-hierarchy-process-ahp-to-select-and-prioritize-projects-in-a-portfolio