Cited by 5,380Multi-Criteria Decision MakingGame Theory and Voting SystemsStrategic Planning and Analysis

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The analytic hierarchy process—what it is and how it is used

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Saaty, R.W.·1987·Mathematical Modelling

DOI 10.1016/0270-0255(87)90473-8

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Saaty, 1982, Decision Making for Leaders
Saaty, 1986, Absolute and relative measurement with the AHP. The most livable cities in the United States, Socio-econ. Plann. Sci., 20, 327, 10.1016/0038-0121(86)90043-1 · DOI
Saaty, 1987, Stimulus—response with reciprocal kernels: the rise and fall of sensation, J. math. Sci.
Aczél, 1983, Procedures for synthesizing ratio judgements, J. math. Psychol., 27, 93, 10.1016/0022-2496(83)90028-7 · DOI
Hämäläinen, 1986, The analytic network process in energy policy planning, Socio-econ. Plann. Sci., 20, 399, 10.1016/0038-0121(86)90054-6 · DOI
Harker, 1987, Alternative modes of questioning in the Analytic Hierarchy Process, Mathl Modelling, 9, 353, 10.1016/0270-0255(87)90492-1 · DOI
Saaty, 1984, Inconsistency and rank preservation, J. math. Psychol., 28, 205, 10.1016/0022-2496(84)90027-0 · DOI
Saaty, 1986, Axiomatic foundation of the Analytic Hierarchy Process, Mgmt Sci., 32, 841, 10.1287/mnsc.32.7.841 · DOI
Saaty, 1987, Rank generation, preservation and reversal in the Analytic Hierarchy Process, Decis. Sci., 10.1111/j.1540-5915.1987.tb01514.x · DOI
Aczél, 1987, Synthesizing judgements: a functional equations approach, Mathl Modelling, 9, 311, 10.1016/0270-0255(87)90487-8 · DOI
Vargas, 1982, Reciprocal matrices with random coefficients, J. math. Modelling, 3, 69, 10.1016/0270-0255(82)90013-6 · DOI
Zahedi, 1986, The Analytic Hierarchy Process—a survey of the method and its applications, Interfaces, 16, 96, 10.1287/inte.16.4.96 · DOI

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“AHP is one of the most commonly used multi-criteria decision-making methods (MCDM) proposed by Saaty (1987).”
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“Since the AHP was published in 1987 in the journal ‘Mathematical Modelling’, it has gained widespread recognition as an MCDA method for weighting criteria, with a high citation count of over 6,600 (Saaty 1987).”
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“These weights are calculated only once and are obtained by finding the vector of eigenvalues [17] of the paired comparison matrix [52] used in the Analytical Hierarchy Procedure, as long as it is consistent.”
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“The AHP method [7] remains one of the most widely used MCDM techniques, employing pairwise comparisons to assign weights and rank criteria based on their relative importance.”
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Delimitation of potential zones for groundwater recharge and discharge in the Guayalejo–Tamesi River Basin, southern Tamaulipas, Mexico
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Barriers to organisational resilience to climate hazards: A case study of Chikwawa, Malawi
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Riparian Forest Health Assessment in the Valley Area of the Irtysh River Basin
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Energy-aware computing of access service for wireless edge via distributed deep learning
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“The Analytic Hierarchy Process (AHP) [32] is a multi-attribute decision-making method.”
A strategic approach to the development of sustainable rural tourism using the A’WOT–TOWS method: an example from the hydroelectric power plant (HPP) in Turkey
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“The combined SWOT-AHP analysis informs strategic recommendations to leverage strengths, address weaknesses, exploit opportunities, and mitigate threats.”
Influential
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“Details of these weights are given in that Table S1 in the supplementary information that shows the level of importance with respect to the weights assigned as per the literature (Chen 2006; Saaty 1987; Sumi and Kabir 2010).”
Exploring the decline in health index of the Qarhan salt lake region in Qinghai Province, China: A 40-year assessment
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Spatial multi criteria analysis of ground conditions in early stages railway planning using analytical hierarchy process applied to viaduct-type rail in Southern Sweden.
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An indicator-based GIS approach for assessing a community’s vulnerability to mobility-related disruptions caused by floods
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From collective to individual radon risk exposure: An insight into the current European regulation.
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A framework for ecologically and socially informed risk reduction before and after outbreaks of wildlife-borne zoonoses.
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“The approach provides a great deal of versatility, particularly for building hierarchical systems [15].”
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Experimental research on innovative design of intangible cultural heritage products based on UCD and cultural gene theory
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“Saaty in the mid-1970s, proposing it as a systematic and hierarchical method of analysis that combines qualitative and quantitative aspects (Saaty, 1987).”
Comprehensive quality assessment of “Five-Educations” talents based on AHP and BP neural network
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Authors: Saaty, R. W.
Corresponding author: Saaty, R.W.
Venue: Mathematical Modelling
Publisher: Elsevier BV
Published: 1987
Volume: 9
Issue: 3-5
Pages: 161-176
ISSN: 0270-0255 (ISSN-L)
DOI: 10.1016/0270-0255(87)90473-8
OpenAlex: W2046078150
Cited by: 5,380
References: 15
Citations by year: 2026: 623 · 2025: 735 · 2024: 697 · 2023: 662 · 2022: 518 · 2021: 481 · 2020: 382 · 2019: 284 · 2018: 226 · 2017: 173 · 2016: 124 · 2015: 107 · 2014: 62 · 2013: 52 · 2012: 39
FWCI: 4.84
Type: journal article
Language: en
Open access: bronze
doi.org
Licence: www.elsevier.com/tdm/userlicense/1.0/ (tdm)
www.elsevier.com/open-access/userlicense/1.0/ (vor, 9696 d)
Locations: Mathematical Modelling (publishedVersion)
Topics: Social Sciences › Decision Sciences › Management Science and Operations Research › Multi-Criteria Decision Making
Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Game Theory and Voting Systems
Social Sciences › Business, Management and Accounting › Strategy and Management › Strategic Planning and Analysis
Keywords: analytic hierarchy process, ratio scale, measurement theory, axioms, inconsistency, rank preservation, reversal, absolute measurement, relative measurement, multi-criteria decision making

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