Analytic Hierarchy Process
Analytic Hierarchy Process (AHP) is a method for decision making which compares the relative choices that one can make, weighs them, and then uses that to make the most informed decision. I stumbled upon during my time at LANL for EVMS and became interested in how this process works used to justify decision making.
Given a number of options, AHP creates a pairwise ratios of the relative benefit of using one option over another. By quantifying preference (a human factor) into a numeric scheme, justification can be made and marginal benefit can be evaluated.
AHP creates a comparison matrix of the relative preference between two options. This has a number of consequences on the shape of comparison matrix entries, . For entries along the main diagonal , entries because the relative benefit between an option to itself will always be . Another relationship is that because the reciprocal ratio comes from the inverse pairwise comparison. So long as the benefits are positive and nonzero, then all entries of the comparison matrix are and finite.
First link that I found helpful was a Stack Exchange page and this tutorial.
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