Ranking a pile of options at once is hard; judging them two at a time is easy. Saaty's AHPThe Analytic Hierarchy Process: derive weights from pairwise comparisons, and measure how coherent those comparisons are. turns those pairwise calls into priority weights — and, more usefully, measures whether they're even coherent. Say Search beats Billing beats Mobile beats Search and there's no ranking that fits; the consistency ratioA measure of how far your comparisons stray from a self-consistent set, scaled against what purely random judgments would score. Below about 0.10 is the rule of thumb for a trustworthy ranking. catches it.
Your calls contain a loop: Search ▸ Billing ▸ Mobile ▸ Search. Each beats the next, yet the last beats the first — so no ranking can honour every comparison. The weights below are the least-bad fit, but the consistency ratio (0.28) is the signal to revisit a judgment.