Published May 19, 2021
Marcos dos Santos Igor Pinheiro de Araujo Costa Carlos Francisco Simões Gomes


The budgetary constraints for the Brazilian Navy (BN) have caused several negative effects, resulting in an undersized fleet, decreasing the capacity to protect marine oil and natural gas fields, combat marine pollution from ships, and monitor other illegal activities at sea and inland waters. This paper aims to choose a medium-sized warship to be built by the BN, through the application of the Analytic Hierarchy Process (AHP) method. After a bibliometric study on Multiple-Criteria Decision-Making (MCDM), the AHP was chosen as the most appropriate method for the proposed case study. We analyzed three ship projects with regard to nine operational and economic criteria, taking into account the evaluations of BN officers with recognized experience and knowledge in military operations. We also introduced a sensitivity analysis based on the relationship between standard deviation and mean scores in order to verify and increase the reliability of the ranking. As a result, the methodology suggested that the best option is to build a brand-new ship with more significant modernizations to provide for the operational needs of the BN.

How to Cite

Santos, M. dos, Costa, I. P. de A., & Gomes, C. F. S. (2021). MULTICRITERIA DECISION-MAKING IN THE SELECTION OF WARSHIPS: A NEW APPROACH TO THE AHP METHOD. International Journal of the Analytic Hierarchy Process, 13(1).


Download data is not yet available.
Abstract 3177 | PDF Downloads 1644



Analytic Hierarchy Process, Multi-criteria, Warship

Adetunji, O., Bischoff, J., & Willy, C. J. (2018). Managing system obsolescence via multicriteria decision making. Systems Engineering, 21(4), 307–321. Doi:
Ali, Y., Asghar, A., Muhammad, N., & Salman, A. (2017). Selection of a fighter aircraft to improve the effectiveness of air combat in the war on terror: Pakistan Air Force-a case in point. International Journal of the Analytic Hierarchy Process, 9(2), 244-273. Doi:
Almeida-Dias, J., Figueira, J. R., & Roy, B. (2012). A multiple criteria sorting method where each category is characterized by several reference actions: The Electre Tri-nC method. European Journal of Operational Research, 217(3), 567–579. Doi:
Altunok, T., Özpeynirci, Ö., Kazanço?lu, Y., & Yilmaz, R. (2010). Comparative analysis of multi-criteria decision making methods for postgraduate student selection. Egitim Arastirmalari - Eurasian Journal of Educational Research, 40, 1–15.
Bhutia, P. W., & Phipon, R. (2012). Application of AHP and TOPSIS method for supplier selection problem. IOSR Journal of Engineering, 2(10), 43–50. Doi:
Bisdikian, C., Kaplan, L. M., & Srivastava, M. B. (2013). On the quality and value of information in sensor networks. ACM Transactions on Sensor Networks, 9(4). Doi:
Brunelli, M., & Fedrizzi, M. (2011). Characterizing properties for inconsistency indices in the AHP. Proceedings of The International Symposium on the Analytic Hierarchy Process, Sorrento, Italy. Doi:
Çarman, F., & Tuncer ?akar, C. (2019). An MCDM-integrated maximum coverage approach for positioning of military surveillance systems. Journal of the Operational Research Society, 70(1), 162–176. Doi:
Costa, I. P. de A., Maêda, S. M. do N., Teixeira, L. F. H. de S. de B., Gomes, C. F. S., & Santos, M. dos. (2020). Choosing a hospital assistance ship to fight the Covid-19 pandemic. Revista de Saude Publica, 54. Doi:
Costa, I. P. de A., Sanseverino, A. M., Barcelos, M. R. dos S., Belderrain, M. C. N., Gomes, C. F. S., & Santos, M. dos. (2020). Choosing flying hospitals in the fight against the COVID-19 pandemic: structuring and modeling a complex problem using the VFT and ELECTRE-MOr methods. IEEE Latin America Transactions, 100(1e).
Costa, J. F. S., Borges, A. R., & dos Santos Machado, T. (2016). Analytic Hierarchy Process applied to industrial location: A Brazilian perspective on jeans manufacturing. International Journal of the Analytic Hierarchy Process, 8(1), 77-91. Doi:
da Serra Costa, J. F. (2011). A genetic algorithm to obtain consistency in analytic hierarchy process. Brazilian Journal of Operations & Production Management, 8(1), 55–64. Doi:
Di Bona, G., & Forcina, A. (2017). Analytic Critical Flow Method (ACFM): A reliability allocation method based on Analytic Hierarchy Process. Journal of Failure Analysis and Prevention, 17(6), 1149–1163. Doi:
Di Bona, G., Forcina, A., Petrillo, A., De Felice, F., & Silvestri, A. (2016). A-IFM reliability allocation model based on multicriteria approach. International Journal of Quality and Reliability Management, 33(5), 676–698. Doi:
Dong, Q., & Cooper, O. (2016). A peer-to-peer dynamic adaptive consensus reaching model for the group AHP decision making. European Journal of Operational Research, 250(2), 521–530. Doi:
Doži?, S., & Kali?, M. (2014). An AHP approach to aircraft selection process. Transportation Research Procedia, 3, 165–174. Doi:
Gazibey, Y., Kantemir, O., & Demirel, A. (2015). Interaction among the criteria affecting main battle tank selection: An analysis with DEMATEL method. Defence Science Journal, 65(5), 345–355. Doi:
Genc, T. (2015). Application of ELECTRE III and PROMETHEE II in evaluating the military tanks. International Journal of Procurement Management, 8(4), 457–475. Doi:
Gigovi?, L., Pamu?ar, D., Baji?, Z., & Mili?evi?, M. (2016). The combination of expert judgment and GIS-MAIRCA analysis for the selection of sites for ammunition depots. Sustainability (Switzerland), 8(4). Doi:
Gomes, C. F. S., Costa, H. G., & de Barros, A. P. (2017). Sensibility analysis of MCDA using prospective in Brazilian energy sector. Journal of Modelling in Management, 12(3), 475-497. Doi:
Hamurcu, M., & Eren, T. (2020). Selection of unmanned aerial vehicles by using multicriteria decision-Making for defence. Journal of Mathematics, 2020. Doi:
Kadzi?ski, M., & Tervonen, T. (2013). Robust multi-criteria ranking with additive value models and holistic pair-wise preference statements. European Journal of Operational Research, 228(1), 169–180. Doi:
Kirac?, K., & Akan, E. (2020). Aircraft selection by applying AHP and TOPSIS in interval type-2 fuzzy sets. Journal of Air Transport Management, 89. Doi:
Lu, W.-M., & Wang, T.-C. (2011). A fuzzy multi-criteria model for the industrial cooperation program transaction strategies: A case in Taiwan. Expert Systems with Applications, 38(3), 1490–1500.
Natalizi, R. A. (2015). Análise de custos e benefícios na escolha da configuração de navios. Revista Da Escola de Guerra Naval, 353–380.
Pinto Junior, R. P. da S., & Soares de Mello, J. C. C. B. (2013). Identification of the best selection of employees for the accomplishment of inspection services in the State electric sector. Production, 23(1), 135–143.
Saaty, T L. (1980). The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation. New York, NY: McGraw-Hill.
Saaty, Thomas L. (2008). Relative measurement and its generalization in decision making why pairwise comparisons are central in mathematics for the measurement of intangible factors the analytic hierarchy/network process. RACSAM-Revista de La Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 102(2), 251–318. Doi:
Saaty, Thomas L, & Vargas, L. G. (2013). The logic of priorities: applications of business, energy, health and transportation. Springer Science & Business Media.
Sánchez-Lozano, J. M., & Rodríguez, O. N. (2020). Application of Fuzzy Reference Ideal Method (FRIM) to the military advanced training aircraft selection. Applied Soft Computing Journal, 88. Doi:
Sánchez-Lozano, J. M., Salmerón-Vera, F. J., & Ros-Casajús, C. (2020). Prioritization of cartagena coastal military batteries to transform them into scientific, tourist and cultural places of interest: A gis-mcdm approach. Sustainability (Switzerland), 12(23), 1–16. Doi:
Sánchez-Lozano, J. M., Serna, J., & Dolón-Payán, A. (2015). Evaluating military training aircrafts through the combination of multi-criteria decision making processes with fuzzy logic. A case study in the Spanish Air Force Academy. Aerospace Science and Technology, 42, 58–65. Doi:
Santos, M., Quintal, R. S., Paixão, A. C. da, & Gomes, C. F. S. (2015). Simulation of operation of an integrated information for emergency pre-hospital care in Rio de Janeiro municipality. Procedia Computer Science, 55, 931–938. Doi:
?enol, M. B. (2020). Evaluation and prioritization of technical and operational airworthiness factors for flight safety. Aircraft Engineering and Aerospace Technology, 92(7), 1049–1061. Doi:
Star?evi?, S., Bojovi?, N., Junevi?ius, R., & Skrickij, V. (2019). Analytical hierarchy process method and data envelopment analysis application in terrain vehicle selection. Transport, 34(5), 600–616. Doi:
Suharyo, O. S., Manfaat, D., & Armono, H. D. (2017). Establishing the location of naval base using fuzzy MCDM and covering technique methods: A case study. International Journal of Operations and Quantitative Management, 23(1), 61–87.
Tenório, F. M., dos Santos, M., Gomes, C. F. S., & Araujo, J. de C. (2020). Navy warship selection and multicriteria analysis: The THOR method supporting decision making. International Joint Conference on Industrial Engineering and Operations Management, 27–39. Springer. Doi:
Vaidya, O. S., & Kumar, S. (2006). Analytic hierarchy process: An overview of applications. European Journal of Operational Research, 169(1), 1–29.
Vargas, L. G. (1982). Reciprocal matrices with random coefficients. Mathematical Modelling, 3(1), 69–81.
Vogt, R. (2013). Corvetas Sucessoras da Barroso: comparação de dois tipos de obtenção. Revista Marítima Brasileira, Rio de Janeiro, 133(04/06), 108–129.
Wang, J., Fan, K., Su, Y., Liang, S., & Wang, W. (2008). Air combat effectiveness assessment of military aircraft using a fuzzy AHP and TOPSIS methodology, 655–662. Doi:
Zhang, C., Ma, C.-B., & Xu, J.-D. (2005). A new fuzzy MCDM method based on trapezoidal fuzzy AHP and hierarchical fuzzy integral (W. L. & J. Y. (eds.); Vol. 3614, Issue PART II, pp. 466–474). Doi:
Zhang, H., Kang, B., Li, Y., Zhang, Y., & Deng, Y. (2012). Target threat assessment based on interval data fusion. Journal of Computational Information Systems, 8(6), 2609–2616. Doi: