© 2020, Springer Nature Switzerland AG.Analytical Hierarchy Process (AHP) has been extended by several extensions of ordinary fuzzy sets such as type-2 fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, Pythagorean fuzzy sets, and neutrosophic sets. One of the first ordinary fuzzy AHP models is Buckley’s fuzzy AHP. A Z-fuzzy number is a combined expression of a restriction function (RF) and a reliability function of RF. We propose a Z-number based fuzzy AHP. We also present an illustrative example.