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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Influential
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“The second step was to compare pairwise using the nine-point importance scale as shown in Table 3 [46].”
Method
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“…aromatic glutinous rice in Pi Pat, Ong Trung Khanh glutinous rice, fragrant squash, Bao Lac plum, Dong Khe pear, Tra Linh citrus, Trung Khanh chestnut, bamboo, macadamia, Phja Den tea, Thach An black agarwood, etc. (Saaty 1987 ), the results are as follows: The random consistency index CI is 0.065.”
Influential
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“Evaluation of factors [39,42].”
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Method
A Generalizable Prioritization Protocol for Climate-Sensitive Zoonotic Diseases
Castonguay, A. C., Chowdhury, S., Shanta, I. S., Schrijver, B., Schrijver, R. S., Wang, S., & Magalhães, R. J. S. (2024) · Tropical Medicine and Infectious Disease · doi:10.3390/tropicalmed9080188 · Cited by 4
“In addition to calculating weights according to the AHP methodology outlined by Saaty [19], the fuzzy weights using the triangular fuzzy number methodology [49] can be calculated using the geometric mean [50], as well as the crisp or defuzzified and normalized defuzzified weights.”
BackgroundMethodInfluential
Assessing the potential of urban parks for health-promoting physical activity: geospatial tools in planning for healthy city living in Kolkata
Ali, M. J., & Rahaman, M. A. (2024) · GeoJournal · doi:10.1007/s10708-024-11168-6 · Cited by 6
“This study adopted the AHP model as developed by Thomas Saaty (Ali & Ahmad, 2019; Saaty, 1977, 1987).”
Success Factors and Partnership Evaluation of Air–Rail Integration Development: A Case of a High-Speed Rail Project Linking Three Airports in Thailand
Rattanakijsuntorn, W., Suwannarat, B., Samittivate, N., & Nithikittiwat, C. (2024) · Infrastructures · doi:10.3390/infrastructures9070115 · Cited by 4
“According to [34], the CR values not exceeding 0.1000 are considered consistent and the results are usable.”
BackgroundInfluential
Switching to hydrogen fuel adoption in developing economies: A case study of Vietnam
Dang, L., Hoang, N., & Nguyen, D. (2024) · International Journal of Green Energy · doi:10.1080/15435075.2024.2374907 · Cited by 4
“In another study by Buket, Taskan, and Adar (2022) focusing on Turkey, the authors utilized the SWOT model and the Fuzzy AHP method to analyze the transition to six types of renewable energy sources, including hydro, solar, wind, biomass, and geothermal.”
Influential
Wet mechanochemical surface modification of calcite employing an integration of conventional design and analytical hierarch process
Uçurum, M., & Özdemir, A. (2024) · Powder Technology · doi:10.1016/j.powtec.2024.119970 · Cited by 4
Critical Indicators for Sustainable Coconut Supply Chain Using Analytical Network Process
Sanusi, Bareduan, S. A., Larisang, & Hamid, A. (2024) · International Journal of Sustainable Development and Planning · doi:10.18280/ijsdp.190508 · Cited by 4
“ANP model has some advantages compared to AHP [20, 21].”
Influential
Criticality Analysis of A Sea Port`s Shore Cranes Using Analytic Hierarchy Process Method
Đelović, D. (2024) · The Open Transportation Journal · doi:10.2174/0126671212293095240314040205 · Cited by 4
Developing integrated person-centered care quality indicators for home health agencies in Shanghai, China: A modified Delphi-analytic hierarchy process study.
He, X.-L., Wang, J., & Liang, Y. (2024) · Geriatric Nursing · doi:10.1016/j.gerinurse.2024.04.025 · Cited by 4
Urban Flood Hazard Zonation in Bengaluru Urban District, India
Dwarakish, G. S., Pai, B., & Rajeesh, R. (2024) · Journal of Landscape Ecology · doi:10.2478/jlecol-2024-0006 · Cited by 4
Environmental exposure and respiratory health: Unraveling the impact of toxic release inventory facilities on COPD prevalence
Kaushal, A., Karimi, M. E., Nazari, R., Opare, K. N., Museru, M. L., & Nikoo, M. R. (2024) · Environmental Pollution · doi:10.1016/j.envpol.2024.124286 · Cited by 6
Prioritising Actions for Improving Classroom Air Quality Based on the Analytic Hierarchy Process: Case Studies in China and the UK
Shu, Z., Yuan, F., Wang, J., Zang, J., Li, B.-Z., Shahrestani, M., Essah, E., Awbi, H., Holland, M., Fang, F., et al. (2024) · Indoor Air: International Journal of Indoor Environment and Health · doi:10.1155/2024/5531325 · Cited by 4
“For reliable results, the consistency ratio ( CR ) should not exceed 0.10 [113].”
BackgroundInfluential
Spatiotemporal dynamics of ecological security pattern based on an optimized assessment framework and circuit theory: a case of Fuzhou City, China
Shifaw, E., Sha, J., Li, X., Bao, Z., Ji, J., Huang, J., Kassaye, A. Y., & Hao, Z. (2024) · Human and Ecological Risk Assessment An International Journal · doi:10.1080/10807039.2024.2358317 · Cited by 5
“Then, the Analytic Hierarchy Process (AHP) was used to determine the factors’ weight (Saaty 1987) (Table 3).”
Method
RETRACTED ARTICLE: Integrated approach for groundwater potential exploration in Abbay River Basin, East Africa
Yoshe, A. K. (2024) · Sustainable Water Resources Management · doi:10.1007/s40899-023-01026-7 · Cited by 4
“The steps used to assign weights via the AHP method are shown below: 1.”
Influential
Retracted
Analysing the competitiveness of industries using the Analytical Hierarchy Process and Porter’s model: A case of Durgapur city
Biswas, P., & Niyogi, J. G. (2024) · Upravlenets · doi:10.29141/2218-5003-2024-15-1-4 · Cited by 4
Evaluating Agricultural Sustainability in Afghanistan (Case Study: Nijrab District)
Rezaei, H., Rezaee, A., Radmand, H., & Safdary, A. (2024) · Process Integration and Optimization for Sustainability · doi:10.1007/s41660-024-00397-4 · Cited by 4
“It is highly esteemed for its effectiveness in tackling complex decision-making problems (Leal 2020) aiding decision-makers in selecting the optimal choice based on multiple criteria and sub-criteria (R. W. Saaty 1987).”
Creative learning in final year students in computer engineering: A case study of the University of Matanzas
Hernández, W. G., Maritza, P. R., & Marcelina, M. G. (2024) · Thinking Skills and Creativity · doi:10.1016/j.tsc.2024.101479 · Cited by 4
Solidifying saline-alkali soil with inorganic materials in a region of seasonal frost: Experiment and evaluation
Chen, K.-Z., Ding, L., Huang, S., Guo, R.-Q., & Liu, Y.-J. (2023) · Cold Regions Science and Technology · doi:10.1016/j.coldregions.2023.104089 · Cited by 4
Assessing the soil erosion susceptibility of watersheds based on morphometric parameters using different MCDM techniques and their evaluation with field survey
Das, B., & Vema, V. (2023) · Environmental Earth Sciences · doi:10.1007/s12665-023-11279-2 · Cited by 4
“The comparison matrix was populated using the Saaty’s nine-point scale (Saaty 1987) based on the field knowledge and expert opinion.”
Method
A novel hybrid method for modeling of photovoltaic module I–V characteristic curve by using artificial intelligence-based solver and multi-criteria decision making
Almunem, R. D. A., Muhsen, D. H., Haider, H. T., & Khatib, T. (2023) · Energy Exploration & Exploitation · doi:10.1177/01445987231211609 · Cited by 4
“It is clearly shown in Table 7 that the proposed algorithm exceeds other algorithm considering these the afore-mentioned evaluation merits, Moreover, the AAE, which represents error of every data point of computed current and experimental current is shown in Figure 6.”
MethodInfluential
A tailored approach to horizon scanning for cancer medicines
Soon, J. A., To, Y., Alexander, M., Trapani, K., Ascierto, P., Athan, S., Brown, M. P., Burge, M., Haydon, A., Hughes, B., et al. (2023) · Journal of Cancer Policy · doi:10.1016/j.jcpo.2023.100441 · Cited by 4
“AHP was used to elicit weights of relative importance [11].”
BackgroundMethodInfluential
Describing the Urban Jungle: A Multicriteria Urbanization Index for the Amazon
Cabrera-Barona, P., Albán, D., & Durán, G. (2023) · ISPRS Int. J. Geo Inf. · doi:10.3390/ijgi12100430 · Cited by 4
Harmonization Approach to Spatial and Social Techniques to Define Landscape Restoration Areas in a Colombian Andes Complex Landscape
Barrera-Causil, C., & González-Montañez, J. (2023) · Forests · doi:10.3390/f14091913 · Cited by 4
A Multi-Criteria Approach to Evaluate Sustainability: A Case Study of the Navarrese Wine Sector
Mainar-Toledo, M. D., Palmero, M. G., Díaz-Ramírez, M., Mendioroz, I., & Zambrana-Vásquez, D. (2023) · Energies · doi:10.3390/en16186589 · Cited by 4
A similarity calculation model of road network and its application in map generalization quality evaluation
Chu, T., Yan, H., Li, P., Lu, X.-M., & Gao, X. (2023) · Spatial Cogn. Comput. · doi:10.1080/13875868.2023.2234074 · Cited by 4
“(cid:0) � Cartographic generalization generally involves many criteria, and many studies (Han et al., 2020; R. Saaty, 1987) have demonstrated that the analytic hierarchy process (AHP) may simulate choices made by experts (Kronenfeld et al., 2020).”
Background

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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