The Analytic Hierarchy Process (AHP) has been one of the foremost mathematical methods for
decision making with multiple criteria and has been widely studied in the operations research
literature as well as applied to solve countless real-world problems. This book is meant to
introduce and strengthen the readers' knowledge of the AHP no matter how familiar they may be
with the topic. This book provides a concise yet self-contained introduction to the AHP that
uses a novel and more pedagogical approach. It begins with an introduction to the principles of
the AHP covering the critical points of the method as well as some of its applications. Next
the book explores further aspects of the method including the derivation of the priority
vector the estimation of inconsistency and the use of AHP for group decisions. Each of these
is introduced by relaxing initial assumptions. Furthermore this booklet covers extensions of
AHP which are typically neglected in elementary expositions of the methods. Such extensions
concern different numerical representations of preferences and the interval and fuzzy
representations of preferences to account for uncertainty. During the whole exposition an eye
is kept on the most recent developments of the method.
