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The analytic hierarchy process—what it is and how it is used
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“The number of Level 1 criteria (n = 6) remained within Saaty's [23] recommended range (7 ± 2) for cognitively tractable pairwise comparison.”
From Toward Sustainable AI Literacy in Higher Education: A Delphi–AHP Approach to Identifying Key Components of AI/Data Extracurricular Programs (2026) · cites this paper as [23]
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“The resulting six-criterion structure remained within Saaty's [23] recommended range (7 ± 2), allowing cognitively tractable pairwise comparison while preserving full domain coverage.”
From Toward Sustainable AI Literacy in Higher Education: A Delphi–AHP Approach to Identifying Key Components of AI/Data Extracurricular Programs (2026) · cites this paper as Saaty's [23]
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“The Analytic Hierarchy Process (AHP), developed by Saaty [23], is a multi-criteria decision-making technique that decomposes complex problems into hierarchical structures of goal, criteria, and alternatives, and then quantifies relative importance through pairwise comparisons.”
From Toward Sustainable AI Literacy in Higher Education: A Delphi–AHP Approach to Identifying Key Components of AI/Data Extracurricular Programs (2026) · cites this paper as [23]
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“AHP enables the conversion of qualitative expert judgments into numerical weights, with built-in consistency verification through the Consistency Ratio (CR).”
From Toward Sustainable AI Literacy in Higher Education: A Delphi–AHP Approach to Identifying Key Components of AI/Data Extracurricular Programs (2026) · cites this paper as [23]
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“The consistency ratio of 0.015 confirms acceptable logical consistency well within Saaty's [23] threshold of 0.10.”
From Toward Sustainable AI Literacy in Higher Education: A Delphi–AHP Approach to Identifying Key Components of AI/Data Extracurricular Programs (2026) · cites this paper as [23]
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“One of the most commonly used multi-criteria decision-making methods is the Analytic Hierarchy Process (AHP), which is used to determine criteria weights and rank alternatives based on expert judgment [41].”
From An Integrated AHP–Fuzzy AHP Evaluation Framework for Large Language Models in Software Engineering Education (2026) · cites this paper as [41]
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Research works printed but not linked: 12
- 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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Mumma, J. M., Weaver, B. W., Morgan, J. S., Ghassemian, G., Gannon, P. R., Burke, K. B., Berryhill, B. A., MacKay, R. E., Lee, L., & Kraft, C. S. (2023) · BMJ Quality & Safety · doi:10.1136/bmjqs-2023-016230 · Cited by 7
“We obtained weights using the Analytical Hierarchy Process, 27 where subject matter experts, including two infection preventionists, two infectious disease physicians and two nurses from a biocontainment unit, rated in a pairwise fashion the relative importance of each surface type on a standard…”
MethodPotential connectivity for sloth bear habitats in Western India’s landscape
Malik, A., Singh, C. P., Dharaiya, N., & Padate, G. S. (2023) · European Journal of Wildlife Research · doi:10.1007/s10344-023-01748-1 · Cited by 6
“AHP is a multi-criteria decision-making tool (Saaty 1987) that combines quantitative and qualitative information used for sustainable management and environmental evaluation.”
Varolgüneş, F. K., Varolgüneş, S., de la Cruz, D. R.-R. M., & Durán-Sánchez, A. (2023) · Quality & Quantity: International Journal of Methodology · doi:10.1007/s11135-023-01756-y · Cited by 6
“The diagonals of matrix A are equal to 1 (Saaty 1987, 1990).”
InfluentialUser Preference-Based Heterogeneous Network Management System for Vertical Handover
Ndegwa, S., Nyachionjeka, K., & Mharakurwa, E. T. (2023) · Journal of Electrical and Computer Engineering · doi:10.1155/2023/5551773 · Cited by 6
“Te various MADM methods include analytic hierarchy process (AHP) [11], fuzzy analytic hierarchy process (FAHP) [12], simple additive weighting (SAW) [13], multiplicative exponent weighting (MEW) [14], technique for order preference by similarity to ideal solution (TOPSIS) [15], and simple…”
MethodBadran, O., & Jallad, J. (2023) · Energies · doi:10.3390/en16196779 · Cited by 6
XOR-best worst method and its assessment to COVID-19 sectorial impact
Kouaissah, N., & Hocine, A. (2023) · Annals of Operations Research · doi:10.1007/s10479-023-05534-9 · Cited by 7
Zhang, Z.-H., Zhang, S., Li, M.-K., Zhang, Y., Chen, M., Zhang, Q., Dai, Z., & Liu, J. (2023) · Remote Sensing · doi:10.3390/rs15153873 · Cited by 6
“The effective weight can be calculated using the following equation: where W i is the effective weight of each factor, ω i and ϕ i represent the normalized empirical weight and sub-classes’ rating of each factor, GWP is the groundwater potential.”
Students' accommodation allocation: A Multicriteria Decision Support System
Rasoanaivo, R. G., & Zaraté, P. (2023) · SADIO Electronic Journal of Informatics and Operations Research · doi:10.48550/arxiv.2402.01667 · Cited by 6
“AHP was developed by Saaty in 1970 [31].”
MethodDeveloping a Field-oriented Analytical Safety Assessment Model for Construction Workers
Lee, C., Kim, M., Ahn, H., Yoo, W., Cho, H., & Choi, Y.-S. (2023) · KSCE Journal of Civil Engineering · doi:10.1007/s12205-023-1978-8 · Cited by 6
RENEWABLE ENERGY SCENARIOS FOR WATER DESALINATION AND CONVEYANCE: CASE OF RED SEA-DEAD SEA PROJECT
Kiwan, S., & Amer, M. A. (2023) · Renewable Energy Focus · doi:10.1016/j.ref.2023.07.002 · Cited by 6
Improving Software Requirements Prioritization through the Lens of Constraint Solving
Winton, J., & Palma, F. (2023) · arXiv.org · doi:10.48550/arxiv.2306.12391 · Cited by 6
“The AHP (Analytic Hierarchy Process) [15] method requires pairwise comparisons of the requirements.”
MethodInfluentialAlansary, O. S.-A., & Al‐Ansari, T. A. (2023) · Sustainability · doi:10.3390/su15139921 · Cited by 6
Alotaibi, M. A., Almubarak, Y. H., & Alguhi, A. A. (2026) · Energy Reports · doi:10.1016/j.egyr.2026.109113 · Cited by 5
Ullah, A., Farooq, R., Ghumman, A., Tanveer, M., & Tariq, M. A. U. R. (2026) · Modeling Earth Systems and Environment · doi:10.1007/s40808-026-02774-z · Cited by 5
“In the third step, the determination of consistency of the pair-wise comparison matrix was made because of the inconsistency in judgment (Saaty 1987).”
InfluentialThe AI-driven Decision-Making (AIDM) Framework: Integrating AHP and ChatGPT for Supplier Selection
Sadeghi, N., Dehghani, M., & Kabadayi, N. (2026) · Annals of Operations Research · doi:10.1007/s10479-026-07136-7 · Cited by 5
Comprehensive Pavement Deterioration Assessment Using Fuzzy Analytical Hierarchy Process
Gamal, Y. A. S., & Radwan, M. (2026) · International Journal of Pavement Research and Technology · doi:10.1007/s42947-025-00688-0 · Cited by 5
Understanding multi-hazard risk for U.S. coastal cities
Poudel, S., Bista, S., Bhattarai, S., Sharma, S., & Talchabhadel, R. (2026) · International Journal of Disaster Risk Reduction · doi:10.1016/j.ijdrr.2026.106023 · Cited by 5
Multi-Hazard assessment methods for planning: A review and potential future directions
Joungwon, K. W. O. N., Yu, S., Malecha, M. L., & Berke, P. R. (2026) · Sustainable Cities and Society · doi:10.1016/j.scs.2026.107136 · Cited by 2
Mondal, S., & Mandal, B. (2026) · Physics and Chemistry of the Earth, Parts A/B/C · doi:10.1016/j.pce.2026.104282 · Cited by 5
Chaudhuri, A., Sharma, M., & Yazan, D. (2025) · Sustainable Development · doi:10.1002/sd.70498 · Cited by 5
Mallahi, S., Olamaei, J., Fini, A. S., & Montazer, B. H. (2025) · Sustainable Cities and Society · doi:10.1016/j.scs.2025.106946 · Cited by 5
Chen, W.-N., Xiang, X.-N., Liu, S., Guo, J., Li, T., Zhou, X., Peng, D., Deng, Z., Wang, B., Wang, H., et al. (2025) · Engineering applications of artificial intelligence · doi:10.1016/j.engappai.2025.111805 · Cited by 5
Alali, S., Vaglia, V., Bocchi, S., Schievano, A., Betti, M., & Marinis, P. D. (2025) · Agroforestry Systems · doi:10.1007/s10457-025-01351-0 · Cited by 5
“For the subsequent decision-making phase, the discussion was guided by the step-by-step comparison of the three scenarios, following a Analytic Hierarchy Process (AHP)-inspired methodology (De Marinis and Sali 2019; Saaty 1987).”
Moses, R., & Sathiyamoorthy, M. (2025) · Frontiers in Water · doi:10.3389/frwa.2025.1668087 · Cited by 5
Alves, A. F. C., Ferreira, B., & Pires, F. M. A. (2025) · Finite elements in analysis and design · doi:10.1016/j.finel.2025.104407 · Cited by 5
Quiet routes to alleviate noise annoyance and promote active mobility
Lawrence, B. T., Beschi, S., Dehqan, F., Strugovshchikova, S., Khalil, I., Blioka-Sotiriou, M., Tribble, R., Frücht, A., & Gruehn, D. (2025) · Journal of Transport & Health · doi:10.1016/j.jth.2025.102142 · Cited by 4
Jaïdi, F., & Ksibi, S. (2025) · The Journal of Supercomputing · doi:10.1007/s11227-025-07876-6 · Cited by 4
“AHP was developed by Saaty in 1970s for making decisions in complex problems involving many criteria [31].”
A new automatic AHP tool to assess the forest vulnerability to wind damage
Kašpar, J., Badr, S., Tahri, M., Maanan, M., Tahri, H., Mohammadi, Z., Novotny, M., & Yousfi, N. (2025) · Ecological Indicators · doi:10.1016/j.ecolind.2025.113607 · Cited by 5
Takele, T., Degife, T., Diriba, D., Husein, M., Galvan, P., Karuppannan, S., Jothimani, M., Assefa, G., Tadessa, D., Beyene, M., et al. (2025) · Scientific African · doi:10.1016/j.sciaf.2025.e02979 · Cited by 5
Smart Room Design for Dementia Nursing Home Based on Kano-AHP-QFD Integrated Methodology
Dong, Q., & Zhu, J.-G. (2025) · HERD · doi:10.1177/19375867251365851 · Cited by 5
“The AHP, introduced by Prof. Saaty in the 1970s, is a renowned decision-making methodology that combines qualitative and quantitative approaches to tackle complex issues (Saaty, 1987).”
Arshad, A., Akbar, M. U., Tran, T., Akhtar, F., Rahman, M. M., Tran, D., Khan, M. T., & Trieu, N. A. (2025) · Earth Systems and Environment · doi:10.1007/s41748-025-00749-1 · Cited by 5
“This method of comparative importance analysis was developed by Saaty (1987).”
Lugo, J. V., Torres, N. N. S., Cavalcante, R. D. L. D. S., Lago, T. G. S., de Lima, J. A., Ledesma, J. J., & Ando, O. (2025) · Energies · doi:10.3390/en18174473 · Cited by 5
Feng, Y.-J., Li, P.-S., Li, H.-T., Liu, Y., Xi, M., Wang, R., Chen, S.-R., Tang, P.-L., Cao, Y., Huang, Q., et al. (2025) · Science Bulletin · doi:10.1016/j.scib.2025.08.035 · Cited by 5
Chandan, R., Sandeep, K., & Boraiaha, C. (2025) · Journal of the Indian Society of Remote Sensing · doi:10.1007/s12524-025-02221-z · Cited by 5
“The variables and individual classes were assigned weights using a nine-point Saaty’s scale (Saaty, 1987; Supplementary Table S2) by pair-wise evaluation of the causative factors.”
Callau, A. À., Pérez-Albert, Y., Farías-Torbidoni, E. I., Mas-Alòs, S., González, J. A., & Peris, M. G. (2025) · Journal of Outdoor Recreation and Tourism · doi:10.1016/j.jort.2025.100893 · Cited by 5
Enhancing access to rainwater harvesting in regions with saline groundwater
Puppala, H., Arora, M., Peddinti, P. R. T., Tamvada, J., & Das, K. (2025) · Discover Sustainability · doi:10.1007/s43621-025-01250-5 · Cited by 5
“In this study, the Saaty scale, which ranges between 1 and 9 [63] is used.”
Insights into the linkages of forest structure dynamics with ecosystem services
Ramachandra, T., Negi, P., Mondal, T., & Ahmed, S. A. (2025) · Scientific Reports · doi:10.1038/s41598-025-00167-3 · Cited by 5
“The consistency index depends on the principal eigenvector ( λ max ), which is equal to the product between each component of the priority vector and the column totals 77,113 .”
Richter, T., Fantinato, M., & Thom, L. H. (2025) · Business Process Management Journal · doi:10.1108/bpmj-10-2024-0989 · Cited by 26
Multi-hazard risk assessment of Waling Municipality, Syangja, Nepal
Rai, P., Baral, A., Pokhrel, K., Sah, P., Bhattarai, A., Magar, P. R., & Adhikari, B. (2025) · Geomatics, Natural Hazards & Risk · doi:10.1080/19475705.2025.2485327 · Cited by 5
“AHP checks the consistency of the pairwise matrix and calculates the weight each hazard contributes to the multi-hazard map (Saaty 1987).”
Environmental impact assessment using bipolar complex intuitionistic fuzzy sets
Alkouri, A. U. M., & Alshboul, Z. (2025) · Soft Computing - A Fusion of Foundations, Methodologies and Applications · doi:10.1007/s00500-025-10608-w · Cited by 5
“The fuzzy, Fuzzy Delphi, and Fuzzy Delphi Folchi methods (Saaty 1987; Mirmohammadi et al. 2009) have the benefit of high-lighting the differences in the Folchi method in relative to the classic expert semi-quantitative approach that uses only singular codes for determine the contribution of each…”
Ge, Y., Guo, Y., Ma, Y., Ma, S., Liu, Y., & Qin, X. (2025) · Scientific Reports · doi:10.1038/s41598-025-94065-3 · Cited by 6
“Using the Analytic Hierarchy Process (AHP) combined with expert scoring, the weights for each component were determined as follows: AHP is a structured method for analyzing complex problems, relying on expert judgment to determine priorities 43 .”
Liu, Q., You, X., Zhang, X., & Zuo, J. (2025) · Scientific Reports · doi:10.1038/s41598-025-94377-4 · Cited by 5
“Based on Saaty’s 1–9 proportional scaling method 39 and considering the actual situation of the research area, combined with expert experience and the research of other investigators, the AHP judgment matrix constructed in this study and the weights calculated for the impact of each element on…”
Ren, Q., Zhang, L., Zhang, H., Yang, Z., ZHANG, M., Wei, M., Li, A., Shi, R., Song, P., & Ge, S. (2025) · Forests · doi:10.3390/f16030536 · Cited by 7
“The Analytical Hierarchy Process is a multi-objective decision-making technique that combines qualitative and quantitative approaches to simplify complex decisions [24].”
Mamun, M. A. A., Zhang, L., Yan, X.-Z., Chen, B.-W., Zuo, J., & Karmakar, S. (2025) · Frontiers in Earth Science · doi:10.3389/feart.2025.1554864 · Cited by 5
Heiß, I., Stegmann, F., Wolf, M., Völk, M., & Kaim, A. (2025) · Ecological Indicators · doi:10.1016/j.ecolind.2025.113212 · Cited by 5
Yadav, D., Kumar, S., Paramasivam, P., Kanti, P., Gupta, R., & Yusuf, M. (2025) · Global Challenges · doi:10.1002/gch2.202400300 · Cited by 5
Nigussie, G., Argaw, M., Nedaw, D., Tadesse, T., & Hartmann, A. (2025) · Sustainability in Environment · doi:10.1080/27658511.2025.2464392 · Cited by 5
“Thus, pairwise comparisons are vital in AHP, employing a foundational value scale of 1 to 9 (Saaty, 1987; Saaty, 1995) as shown in Table 1.”
Tapia-Villaseñor, E. M., Megdal, S., & Shamir, E. (2025) · Water · doi:10.3390/w17030443 · Cited by 5
“This technique, widely known as the Analytic Hierarchy Process (AHP), was introduced by Saaty (1987) [36] and is instrumental in identifying the relative importance of criteria within a decision-making framework.”
InfluentialVelaz-Acera, N., Casado-Lorenzo, V., Hernández-Herráez, G., Blázquez, C. S., & Lagüela, S. (2025) · Energy Conversion and Management · doi:10.1016/j.enconman.2025.119520 · Cited by 5
Integrating Sustainability into Biologically Inspired Design: A Systematic Evaluation Model
Bian, Z., Zhang, Y., Lin, H., Zhu, Y., & Zhang, J. (2025) · Biomimetics · doi:10.3390/biomimetics10020111 · Cited by 6
Cheng, C.-C., Tsai, M.-C., Chang, Y., & Chen, C.-T. (2025) · International Journal of Hospitality Management · doi:10.1016/j.ijhm.2024.103996 · Cited by 5
Yadav, S., Choudhary, A., Yadav, P., & Pal, D. B. (2024) · Biomass Conversion and Biorefinery · doi:10.1007/s13399-024-06387-3 · Cited by 5
“The remaining index values are between 0 and 1.49 [42, 43].”
InfluentialAssessment of Groundwater Potential Using Geospatial Techniques Employing FUCOM, BWM, and AHP
Sridharam, S., & Ghose, D. K. (2024) · Journal of hydrologic engineering · doi:10.1061/jhyeff.heeng-6252 · Cited by 5
Xiao, H., Lu, Y., Huang, F., Li, S., & Liao, J. (2024) · BMC Medical Education · doi:10.1186/s12909-024-06312-2 · Cited by 6
Uncertainty management with quantitative propensity matrix in random permutation set theory
Wang, M.-X., Zhou, G., & Deng, Y. (2024) · Information Sciences · doi:10.1016/j.ins.2024.121645 · Cited by 5
David, J., Cabral, P., & Campos, F. S. (2024) · Scientific Reports · doi:10.1038/s41598-024-76600-w · Cited by 4
Bašić, A., Viduka, D., Kraguljac, V., Lavrnic, I., Jevremović, M., Balaban, P., Sajfert, D., Gligorijević, M., & Barzut, S. (2024) · Buildings · doi:10.3390/buildings14103275 · Cited by 5
Renthlei, E., & George, A. (2024) · Local Environment : the International Journal of Justice and Sustainability · doi:10.1080/13549839.2024.2413080 · Cited by 5
“The Analytic Hierarchy Process (AHP), a structured way for arranging and assessing complicated choice criteria (Chen et al. 2018; Saaty 1987), is frequently regarded as the best strategy for constructing a weighting system for prioritising significant components in an evaluation framework (Ameen…”
Derebe, M. A., & Asres, L. A. (2024) · World Water Policy · doi:10.1002/wwp2.12226 · Cited by 5
Ptak-Wojciechowska, A., Kort, H. S. M., Kasraian, D., & Gawlak, A. (2024) · Frontiers in Built Environment · doi:10.3389/fbuil.2024.1476249 · Cited by 7
Kril, T., Cherevko, I., & Shekhunova, S. (2024) · Buildings · doi:10.3390/buildings14103152 · Cited by 5
Li, J., Jing, S.-W., Cai, J., Xu, H.-L., Sun, P.-W., Cao, Y.-Y., Jiang, S.-R., Jia, S.-L., Lu, Z., & Li, G. (2024) · Computer Physics Communications · doi:10.1016/j.cpc.2024.109397 · Cited by 5
A Performance-Based Subcontractor Selection Model
Bingol, B. N., Arditi, D., & Polat, G. (2024) · Journal of construction engineering and management · doi:10.1061/jcemd4.coeng-14216 · Cited by 5
Patel, N., Rai, R., Patil, H., & Shrivastava, P. (2024) · International journal of mathematical, engineering and management sciences · doi:10.33889/ijmems.2024.9.4.039 · Cited by 5
Wanguba, B., Siriba, D. N., & Okumu, B. O. (2024) · Heliyon · doi:10.1016/j.heliyon.2024.e36518 · Cited by 5
“The study employed AHP [28,36,48] to compute the relative weights of factors within MCDA guidelines, assigning priority vectors.”
MethodUrban cultural dynamics in planning: a bibliometric analysis
Kattimani, R., & Devadas, V. (2024) · Frontiers of Urban and Rural Planning · doi:10.1007/s44243-024-00042-1 · Cited by 5
“Random Index (RI) varies with the number of parameters (Saaty, 1987).”
The ‘sense of terroir’ among wine-consuming social media users in Italy
Capitello, R., Ricci, E. C., Mannelli, S., & Begalli, D. (2024) · Journal of Wine Research · doi:10.1080/09571264.2024.2394030 · Cited by 5
“Following Saaty ’ s protocol (1987), we rated the presence of the third-level attributes in each post, and then we used the global priority weights previously determined with the AHP model for the third-level attributes to measure the global priority weights of the 48 posts.”
InfluentialSupplier Selection Analysis for Sand Materials Using AHP in the Indonesian Manufacturing Industry
Tarigan, Y., Devano, A., Harlan, F. B., Arzaman, A. F. M., Nadia, L., & Rashid, N. (2024) · Journal Europeen des Systemes Automatises · doi:10.18280/jesa.570319 · Cited by 5
“The geometric mean is computed using the following formula: According to the findings of the pairwise benchmarking, ensuring fairness in the implementation of local priorities is crucial [43].”
MethodBulut, T., Top, M., Atan, M., & Genç, B. (2024) · Turkish Journal of Medical Sciences · doi:10.55730/1300-0144.5854 · Cited by 5
“Thus, in the new case, the sum of the weights used for the decision criteria in the BI-β method was reduced to 1 as required by the MCDM literature [27–37] (Table 2).”
Yıldırım, R., & Karadöl, İ. (2024) · Politeknik Dergisi · doi:10.2339/politeknik.1370924 · Cited by 5
Doddamani, S., Kulkarni, S. M., Joladarashi, S., Kumar, T. M., & Gurjar, A. K. (2024) · Multiscale and Multidisciplinary Modeling Experiments and Design · doi:10.1007/s41939-024-00466-8 · Cited by 5
“The analytic hierarchy process (AHP) method is used to assign weights to criteria to optimise process parameters for rubber–sand composite blocks against high-velocity impacttoenhanceenergyabsorption(Saaty1987).”
Buzohera, M. I., & Mwakipesile, A. E. (2024) · Environmental and Sustainability Indicators · doi:10.1016/j.indic.2024.100408 · Cited by 5
Weighted three-way conflict analysis in multi-attribute decision-making perspective
Luo, J., Han, B.-H., Huang, B., & Geng, S.-L. (2024) · Information Sciences · doi:10.1016/j.ins.2024.120721 · Cited by 5
Winowoda, B., & Wasesa, M. (2024) · European Journal of Business and Management Research · doi:10.24018/ejbmr.2024.9.2.2103 · Cited by 5
Guldu, E., Şimşek, Ç. K., & Selim, S. (2024) · Environment, Development and Sustainability · doi:10.1007/s10668-024-04891-0 · Cited by 5
Proposing the future skill requirements for maritime cyber security
Soner, O., & Kandemir, C. (2024) · Cognition, Technology & Work · doi:10.1007/s10111-024-00760-y · Cited by 5
“In this regard, the Analytic Hierarchy Process (AHP) has been implemented for the current decision-making application since this procedure requires a robust multiple-criteria decision-making technique.”
InfluentialTask2Box: Box Embeddings for Modeling Asymmetric Task Relationships
Daroya, R., Sun, A., & Maji, S. (2024) · IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings · doi:10.1109/cvpr52733.2024.02723 · Cited by 1
“The values are computed using Analytic Hierarchy Process [39, 52].”
MethodSağlık Hizmetlerinde Sürdürülebilirlik Düzeyini Belirleyen Faktörlerin Önceliklendirilmesi
Çavmak, Ş., Çavmak, D., & Özeltürkay, E. Y. (2024) · Verimlilik dergisi · doi:10.51551/verimlilik.1386655 · Cited by 6
An analysis of barriers and perspectives for circular economy in industrial water use in Kazakhstan
Radelyuk, I., Jia, X.-X., Yelubay, M., & Assanov, D. (2024) · Sustainable Water Resources Management · doi:10.1007/s40899-024-01057-8 · Cited by 5
“AHP was initially introduced by Saaty (1987) and has been widely applied for providing information about the relative importance of the identified factors including water management (e.g., Dhakal et al. 2021; Ruiz-Villaverde et al. 2013; Chitsaz and Azarnivand 2017; Pagano et al. 2021; Goyal and…”
Gonçalves, V., Albuquerque, A., Almeida, P., Gomes, L. F., & Cavaleiro, V. (2024) · Water · doi:10.3390/w16040585 · Cited by 5
“The fi rst step was to create a Pairwise Comparison Matrix (PCM) (Table 3) using Saaty(cid:31)s (1–9) relative importance scale (Table 4) [113].”
MethodLean Manufacturing Assessment: Dimensional Analysis with Hesitant Fuzzy Linguistic Term Sets
Chitiva-Enciso, W. A., Pérez-Domínguez, L. A., López, R. R., Cruz, D. L., Pérez-Olguín, I. J. C., & Méndez‐González, L. C. (2024) · Applied Sciences · doi:10.3390/app14041475 · Cited by 6
Galacho-Jiménez, F. B., & Reyes-Corredera, S. (2024) · Land · doi:10.3390/land13010109 · Cited by 5
Nokhandan, F. N., Ghahraman, K., & Horváth, E. (2024) · Hungarian Geographical Bulletin · doi:10.15201/hungeobull.72.4.2 · Cited by 5
Shaibu, A., Kpiebaya, P., Salifu, E., & Oka, N. (2024) · Irrigation and Drainage · doi:10.1002/ird.2913 · Cited by 5
“This land is the best possible and does not reduce productivity or require increased inputs Source : Food and Agriculture Organization (FAO), 1979. where λ is the principal eigenvalue of the matrix and n is the number of factors used in the estimation (Saaty, 1987).”
BackgroundInfluentialRazi, M. H., Zahratunnisa, Z., & Retongga, N. (2024) · Journal of Degraded and Mining Lands Management · doi:10.15243/jdmlm.2024.112.5237 · Cited by 5
Siddiqui, A., Potoff, R., & Huang, Y. (2023) · Clean Technologies and Environmental Policy · doi:10.1007/s10098-023-02696-9 · Cited by 5
“A more systematic and scientific method, based on expert knowledge and using rigorous mathematics, could be developed by resorting to the analytical hierarchical process (AHP) technique (Saaty 1987).”
Kim, D., Song, J., Lee, Y.-J., Yoon, S., Yoon, D. K., Lee, Y., Kwon, Y., Lee, D., & Choi, Y. (2023) · KSCE Journal of Civil Engineering · doi:10.1007/s12205-023-0601-3 · Cited by 5
“d j : Degree of diversity w j : Entropy weight In our study, we also used the analytical hierarchy process (AHP) this hierarchy through a series of pairwise comparison judgments to express the relative strength or intensity of hierarchy elements (Saaty, 1987; Aomar, 2010).”
Cho, W. C., Atukeren, E., & Yim, H. (2023) · Systems · doi:10.3390/systems11110532 · Cited by 9
“The characteristics of AHP can be used to derive ratio scales in both discrete and continuous pairwise comparisons, and actual measurements can be made, but these pairwise comparisons can be made through a fundamental scale that re fl ects the relative strength of preferences or feelings [56,57].”
BackgroundAlkasar, B. E., & Yahya, H. A. (2023) · International Journal of Sustainable Development and Planning · doi:10.18280/ijsdp.181014 · Cited by 5
“This consistency index is one of the conditions of the hierarchy process that ensures the accuracy of the answers [22].”
BackgroundGao, C., Wang, X.-N., Li, D.-W., Han, C., You, W.-Y., & Zhao, Y.-H. (2023) · Energies · doi:10.3390/en16207215 · Cited by 5
Abdel-Halim, A., AlKhars, M. A., & Alnasser, A. H. (2023) · International Journal of Islamic and Middle Eastern Finance and Management · doi:10.1108/imefm-02-2023-0043 · Cited by 5
A novel approach for planning of shipbuilding processes
Güngör, A., Unsan, Y., & Barlas, B. (2023) · Brodogradnja · doi:10.21278/brod74402 · Cited by 5
“This approach ensures that capacity is allocated efficiently and effectively, considering the specific needs and priorities of each project within the shipbuilding portfolio [47]”
BackgroundGlobal Supply Chain Nervousness (GSCN)
Magableh, G. M., & Mistarihi, M. Z. (2023) · Sustainability · doi:10.3390/su151612115 · Cited by 5
“In many MCDM challenges, AHP, developed by Saaty [38], is a widely used decision-making tool.”
BackgroundReview on ecotourism potentials, challenges and opportunities in Ethiopia
Degefa, A. K., & Alemayehu, M. (2023) · Journal of Hospitality Management and Tourism · doi:10.5897/jhmt2023.0330 · Cited by 5
“It helps in identifying opportunities, mitigating threats, transforming weaknesses into strengths, and optimizing strengths and opportunities (Duran, 2013; Saaty, 1987).”
BackgroundA Quantitative Methodology for Attack-Defense Analysis of EV Charging Infrastructure
Bhattacharya, S., Govindarasu, M., Girdhar, M., & Hong, J.-H. (2023) · IEEE Power & Energy Society General Meeting · doi:10.1109/pesgm52003.2023.10252252 · Cited by 5
“This objective is achieved through Step-3: Analytic hierarchy process (AHP).”
BackgroundMethodInfluentialSome notes on non-reciprocal matrices in the multiplicative pairwise comparisons framework
Mazurek, J., & Linares, P. (2023) · Journal of the Operational Research Society · doi:10.1080/01605682.2023.2223229 · Cited by 5
“On consistency, Thomas L. Saaty already stated (Saaty, 1987, p. 172): Why tolerate … inconsistency?”
BackgroundIslam, M. K., & Gazder, U. (2023) · Applied Sciences · doi:10.3390/app13137814 · Cited by 5
Okudan, O., Cevikbas, M., & Işık, Z. (2023) · Engineering Construction and Architectural Management · doi:10.1108/ecam-02-2023-0105 · Cited by 5
Dyasi, P., & Naicker, V. (2023) · Annals of Nuclear Energy · doi:10.1016/j.anucene.2023.109784 · Cited by 5
Evaluating e-book vendors in the era of smart libraries
Li, X., Shi, X.-H., Xie, R., & Gu, Z. (2023) · Library & Information Science Research · doi:10.1016/j.lisr.2023.101254 · Cited by 5
Metadata
- 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)
- 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
- 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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