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| title | chunk | source | category | tags | date_saved | instance |
|---|---|---|---|---|---|---|
| Analytic hierarchy process | 5/5 | https://en.wikipedia.org/wiki/Analytic_hierarchy_process | reference | science, encyclopedia | 2026-05-05T14:37:21.439747+00:00 | kb-cron |
== Non-monotonicity of some weight extraction methods == Within a comparison matrix one may replace a judgement with a less favorable judgment and then check to see if the indication of the new priority becomes less favorable than the original priority. In the context of tournament matrices, it has been proven by Oskar Perron that the principal right eigenvector method is not monotonic. This behaviour can also be demonstrated for reciprocal n x n matrices, where n > 3. Alternative approaches are discussed elsewhere.
== See also == Analytic hierarchy process – car example Analytic network process Arrow's impossibility theorem Decision making Decision-making paradox Decision-making software Hierarchical decision process L. L. Thurstone Law of comparative judgment Multi-criteria decision analysis Pairwise comparison Preference Principal component analysis Rank reversals in decision-making
== References ==
== Further reading == Saaty, Thomas L. Decision Making for Leaders: The Analytical Hierarchy Process for Decisions in a Complex World (1982). Belmont, California: Wadsworth. ISBN 0-534-97959-9; Paperback, Pittsburgh: RWS. ISBN 0-9620317-0-4. "Focuses on practical application of the AHP; briefly covers theory." Saaty, Thomas L. Fundamentals of Decision Making and Priority Theory with the Analytic Hierarchy Process (1994). Pittsburgh: RWS. ISBN 0-9620317-6-3. "A thorough exposition of the theoretical aspects of AHP." Saaty, Thomas L. Mathematical Principles of Decision Making (Principia Mathematica Decernendi) (2009). Pittsburgh: RWS. ISBN 1-888603-10-0. "Comprehensive coverage of the AHP, its successor the ANP, and further developments of their underlying concepts." Saaty, Thomas L., with Ernest H. Forman. The Hierarchon: A Dictionary of Hierarchies. (1992) Pittsburgh: RWS. ISBN 0-9620317-5-5. "Dozens of illustrations and examples of AHP hierarchies. A beginning classification of ideas relating to planning, conflict resolution, and decision making." Saaty, Thomas L., with Luis G. Vargas The Logic of Priorities: Applications in Business, Energy, Health, and Transportation (1982). Boston: Kluwer-Nijhoff. ISBN 0-89838-071-5 (Hardcover) ISBN 0-89838-078-2 (Paperback). Republished 1991 by RWS, ISBN 1-888603-07-0. Kardi Teknomo. Analytic Hierarchy Process Tutorial (2012). Revoledu. Kearns, Kevin P.; Saaty, Thomas L. Analytical Planning: The Organization of Systems (1985). Oxford: Pergamon Press. ISBN 0-08-032599-8. Republished 1991 by RWS, ISBN 1-888603-07-0. with Joyce Alexander. Conflict Resolution: The Analytic Hierarchy Process (1989). New York: Praeger. ISBN 0-275-93229-X Vargas, Luis L.; Saaty, Thomas L. Prediction, Projection and Forecasting: Applications of the Analytic Hierarchy Process in Economics, Finance, Politics, Games and Sports (1991). Boston: Kluwer Academic. ISBN 0-7923-9104-7 Vargas, Luis L.; Saaty, Thomas L. Decision Making in Economic, Social and Technological Environments (1994). Pittsburgh: RWS. ISBN 0-9620317-7-1 Vargas, Luis L.; Saaty, Thomas L. Models, Methods, Concepts & Applications of the Analytic Hierarchy Process (2001). Boston: Kluwer Academic. ISBN 0-7923-7267-0 Peniwati, Kirti; Vargas, Luis L. Group Decision Making: Drawing Out and Reconciling Differences (2007). Pittsburgh: RWS. ISBN 1-888603-08-9
== External links == International Journal of the Analytic Hierarchy Process – An online journal about multi-criteria decision making using the AHP. AHP video. (9:17 YouTube clip) Very thorough exposition of AHP by Dr. Klaus Göpel Analytic Hierarchy Process (AHP) Example with Simulations using Matlab – Waqqas Farooq – AHP example for college selection using matlab. An illustrated guide (pdf) – Dr. Oliver Meixner University of Wien – "Analytic Hierarchy Process", a very easy to understand summary of the mathematical theory AHP example with Matlab implementation – AHP explanation with an example and matlab code. R ahp package – An AHP open source package. AHPy - An open source Python implementation of AHP with an optimal solver for missing pairwise comparisons Introductory Mathematics of the Analytic Hierarchy Process – An introduction to the mathematics of the Analytic Hierarchy Process.
How to use AHP for Project Prioritization by Dr. James Brown (webinar) Guide to use AHP in Excel A guide to using AHP in Excel by Dr. Richard Hodgett Use the AHP Methodology to More Effectively Define and Evaluate Your SAP Implementation Approach by Jeetendra Kumar