Achieving sustainable urban mobility with a modified VIKOR method to improve the selection of a park and ride system
Abstract
In many European cities, municipal authorities have placed restrictions on private transport in city centres to comply with national and European regulations aimed at reducing traffic congestion, air pollution levels, polluting gases emission from transport and the consequences on climate change that have affected the quality of life of the inhabitants. Park and ride (P&R) facilities are key elements to introduce restrictions on private transport in city centres to reduce congestion. In this paper, a methodology is proposed, through multi-criteria decision methods, to determine a sustainable P&R rating and classification. The optimal solution or set of solutions, for P&R facilities is determined by taking into account sustainability criteria: environmental, economic, functional and social. A modified VIKOR multi-criteria decision method was developed and applied by using the Mahalanobis distance by taking into account the correlation between variables. The proposed methodology provides the most sustainable alternatives of P&R and allows local authorities to prioritize necessary actions to achieve more sustainable urban mobility. The method developed was applied to study the P&R system designed for the city of Madrid.
Keyword : urban mobility, park and ride, multicriteria decision making, sustainable selection criteria, Entropy method, Mahalanobis distance

This work is licensed under a Creative Commons Attribution 4.0 International License.
References
Aires, R. F. de F., & Ferreira, L. (2019). A new approach to avoid rank reversal cases in the TOPSIS method. Computers and Industrial Engineering, 132, 84–97. https://doi.org/10.1016/j.cie.2019.04.023
Afandizadeh, S., Abdolmanafi, S., Afandizadeh, S., & Abdolmanafi, S. E. (2016). Development of a model for a Cordon pricing scheme considering environmental equity: A case study of Tehran. Sustainability, 8(2), Article 192. https://doi.org/10.3390/su8020192
American Association of State Highway and Transportation Officials. (2004). Guide for park-and-ride facilities. https://store.transportation.org/Common/DownloadContentFiles?id=319
Annisa, Herman, & Wiradinata, I. (2019). A sustainable transportation: A literature study on park and ride in the Bandung metropolitan area. MATEC Web of Conferences, 276, Article 03008. https://doi.org/10.1051/matecconf/201927603008
Antuchevičienė, J., Zavadskas, E. K., & Zakarevičius, A. (2010). Multiple criteria construction management decisions considering relations between criteria. Technological and Economic Development of Economy, 16(1), 109–125. https://doi.org/10.3846/tede.2010.07
Awasthi, A., Omrani, H., & Gerber, P. (2018). Investigating ideal-solution based multicriteria decision making techniques for sustainability evaluation of urban mobility projects. Transportation Research Part A: Policy and Practice, 116, 247–259. https://doi.org/10.1016/j.tra.2018.06.007
Azzini, I., Listorti, G., Mara, T. A., & Rosati, R. (2020). Uncertainty and sensitivity analysis for policy decision making. An introductory guide. Publications Office of the European Union. https://doi.org/10.2760/922129
Belošević, I., Kosijer, M., Ivić, M., & Pavlović, N. (2018). Group decision making process for early stage evaluations of infrastructure projects using extended VIKOR method under fuzzy environment. European Transport Research Review, 10(2), Article 43. https://doi.org/10.1186/s12544-018-0318-4
Boyce, D. E., Allen, B., Desfor, G., & Zuker, R. (1972). Impact of access distance and parking availability on suburban rapid transit station choice. Analysis of the Philadelphia – Lindenwold High-Speed Line. Philadelphia, Springfield (Final report to Office of the Secretary, U.S. Department of Transportation. Philadelphia). Regional Science Department, University of Pennsylvania.
Bullard, D. L., & Christiansen, D. L. (1983). Guidelines for planning, designing and operating park-and-ride lots in Texas. https://static.tti.tamu.edu/tti.tamu.edu/documents/205-22F.pdf
Camargo Pérez, J., Carrillo, M. H., & Montoya-Torres, J. R. (2014). Multi-criteria approaches for urban passenger transport systems: A literature review. Annals of Operations Research, 226(1), 69–87. https://doi.org/10.1007/s10479-014-1681-8
Cárdenas-Montes, M. (2017). Medidas de distancia. https://studylib.es/doc/4622569/medidas-de-distancia#
De Carvalho, N. L. A., Cabral Ribeiro, P. C., De Oliveira, L. K., Da Silva, J. E. A. R., & Vidal Vieira, J. G. (2019a). Criteria to implement UDCs in historical cities: A Brazilian case study. European Transport – Trasporti Europei, 72, 1–29.
De Carvalho, N. L. A., Ribeiro, P. C. C., García-Martos, C., Fernández, C. G., & Vieira, J. G. V. (2019b). Urban distribution centres in historical cities from the perspective of residents, retailers and carriers. Research in Transportation Economics, 77, Article 100744. https://doi.org/10.1016/j.retrec.2019.100744
Ceballos, B., Pelta, D. A., & Lamata, M. T. (2018). Rank Reversal and the VIKOR method: An empirical evaluation. International Journal of Information Technology and Decision Making, 17(2), 513–525. https://doi.org/10.1142/S0219622017500237
Chen, Y., Kilgour, D. M., & Hipel, K. W. (2008). Screening in multiple criteria decision analysis. Decision Support Systems, 45(2), 278–290. https://doi.org/10.1016/j.dss.2007.12.017
Chu, X., Land, L., & Pendyala, R. (2001). Site selection, demand and facility size estimation, and economic analysis and project justification. Update of Fdot state park & ride lot program planning manual. Center for Urban Transportation Research. https://doi.org/10.5038/CUTR-NCTR-RR-2000-05
Colin Buchanan Consultores. (2010). Guía para la implantación de aparcamientos disuasorios en Andalucía. http://www.juntadeandalucia.es/medioambiente/portal_web/web/temas_ambientales/medio_ambiente_urbano/medio_ambinte_urbano_nuevo/movilidad/Guia_aparcamientos_disuasorios.pdf
Dijk, M., de Haes, J., & Montalvo, C. (2013). Park-and-Ride motivations and air quality norms in Europe. Journal of Transport Geography, 30, 149–160. https://doi.org/10.1016/j.jtrangeo.2013.04.008
Du, S., Ye, J., Yong, R., & Zhang, F. (2021). Q-indeterminate correlation coefficient between simplified neutrosophic indeterminate sets and its multicriteria decision-making method. Journal of Civil Engineering and Management, 27(6), 404–411. https://doi.org/10.3846/jcem.2021.15254
European Commission. (2017). Sustainable urban mobility. Publications Office of the EU. https://publications.europa.eu/es/publication-detail/-/publication/17e00da9-da39-11e7-a506-01aa75ed71a1/language-en
European Conference of Ministers of Transport. (2002). Implementing sustainable urban travel policies. http://www.internationaltransportforum.org/IntOrg/ecmt/pubpdf/02UrbFinal.pdf
European Environment Agency. (2012). EMEP/EEA emission inventory guidebook 2009, updated May 2012. https://www.eea.europa.eu/publications/emep-eea-emission-inventory-guidebook-2009/part-b-sectoral-guidance-chapters/1-energy/1-a-combustion/1.a.3.b-road-transport-gb2009-update.pdf/view
EU Technical Committee on Transport. (2005). Parking policies and the effects on economy and mobility (COST Action 342). https://www.europeanparking.eu/media/1207/cost-action-342-final-report-1.pdf
García-Cascales, M. S., & Lamata, M. T. (2012). On rank reversal and TOPSIS method. Mathematical and Computer Modelling, 56(5–6), 123–132. https://doi.org/10.1016/j.mcm.2011.12.022
Gillis, D., Semanjski, I., & Lauwers, D. (2016). How to monitor sustainable mobility in cities? Literature review in the frame of creating a set of sustainable mobility indicators. Sustainability, 8(1), Article 29. https://doi.org/10.3390/su8010029
Government of Spain. (2011). Real decreto 102/2011, de 28 de enero, relativo a la mejora de la calidad del aire. https://www.boe.es/boe/dias/2011/01/29/pdfs/BOE-A-2011-1645.pdf
He, B., He, W., & He, M. (2012). The attitude and preference of traveler to the park & ride facilities: a case study in Nanjing, China. Procedia - Social and Behavioral Sciences, 43, 294–301. https://doi.org/10.1016/j.sbspro.2012.04.102
Holguín-Veras, J., Yushimito, W. F., Aros-Vera, F., & Reilly, J. (2012). User rationality and optimal park-and-ride location under potential demand maximization. Transportation Research Part B: Methodological, 46(8), 949–970. https://doi.org/10.1016/j.trb.2012.02.011
Huang, W. C., Teng, J. Y., & Lin, M. C. (2008). Application of fuzzy multiple criteria decision making in the selection of infrastructure projects. In Proceedings of the 5th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2008) (Vol. 5, pp. 159–163). https://doi.org/10.1109/FSKD.2008.680
İç, Y. T., Çelik, B., Kavak, S., & Baki, B. (2022). An integrated AHP-modified VIKOR model for financial performance modeling in retail and wholesale trade companies. Decision Analytics Journal, 3, Article 100077. https://doi.org/10.1016/j.dajour.2022.100077
Idealista. (2021). https://www.idealista.com/
Khakbaz, A., Nookabadi, A. S., & Shetab-bushehri, S. N. (2013). A model for locating park-and-ride facilities on urban networks based on maximizing flow capture: A case study of Isfahan, Iran. Networks and Spatial Economics, 13(1), 43–66. https://doi.org/10.1007/s11067-012-9172-4
Lakusic, S. (2018). Ranking conceptual locations for a park-and-ride parking lot using EDAS method. Journal of the Croatian Association of Civil Engineers, 70(11), 975–983. https://doi.org/10.14256/JCE.1961.2016
Lee, H.-C., & Chang, C.-T. (2018). Comparative analysis of MCDM methods for ranking renewable energy sources in Taiwan. Renewable and Sustainable Energy Reviews, 92, 883–896. https://doi.org/10.1016/j.rser.2018.05.007
Liao, S.-K., Hsu, H.-Y., & Chang, K.-L. (2019). OTAs selection for hot spring hotels by a hybrid MCDM model. Mathematical Problems in Engineering, 2019, Article 251362. https://doi.org/10.1155/2019/4251362
Liu, Y., Cui, J., Kong, X., & Zeng, C. (2016). Assessing suitability of rural settlements using an improved technique for order preference by similarity to ideal solution. Chinese Geographical Science, 26(5), 638–655. https://doi.org/10.1007/s11769-016-0821-2
Madrid Autonomous Community. (2018). Tráfico 2018. https://www.comunidad.madrid/sites/default/files/doc/transportes/dossier2018.pdf
Madrid City Council. (2014). Plan de movilidad urbana sostenible de la ciudad de Madrid. https://www.madrid.es/portales/munimadrid/es/Inicio/El-Ayuntamiento/Movilidad-y-transportes/Plan-de-Movilidad-Urbana-Sostenible-de-la-ciudad-de-Madrid?vgnextoid=d97a16c236694410VgnVCM2000000c205a0aRCRD&vgnextchannel=2b199ad016e07010VgnVCM100000dc0ca8c0RCRD
Madrid City Council. (2017). Plan de calidad del aire de la Ciudad de Madrid y cambio climático (Plan A). https://www.madrid.es/UnidadesDescentralizadas/UDCMedios/noticias/2017/03Marzo/13Lunes/NotasdePrensa/Plan Calidad Aire/ficheros/PlanACalidadAire2017.pdf
Madrid City Council. (2018a). Estudio del parque circulante de la ciudad de Madrid, Año 2017. https://datos.madrid.es/FWProjects/egob/Catalogo/Transporte/ficheros/EstudioPCMadrid2017.pdf
Madrid City Council. (2018b). Protocolo de actuación para episodios de contaminación por dióxido de nitrógeno en la Ciudad de Madrid. https://www.madrid.es/UnidadesDescentralizadas/Sostenibilidad/CalidadAire/Ficheros/ProtocoloNO2AprobFinal_201809.pdf
Madrid City Council. (2021a). Ordenanza 10/2021, de 13 de Septiembre, por la que se modifica la Ordenanza de Movilidad Sostenible, de 5 de octubre de 2018. https://sede.madrid.es/sites/v/index.jsp?vgnextoid=70e07707d711c710VgnVCM1000001d4a900aRCRD&vgnextchannel=6b3d814231ede410VgnVCM1000000b205a0aRCRD
Madrid City Council. (2021b). Ordenanza 4/2021, de 30 de marzo, de Calidad del Aire y Sostenibilidad. https://sede.madrid.es/eli/es-md-01860896/odnz/2021/04/16/4/dof/spa/html
Madrid City Council. (2021c). Inventario de emisiones del año 2021. Portal de Calidad del aire. https://airedemadrid.madrid.es/portales/calidadaire/es/Contaminacion-atmosferica/Concepto/?vgnextfmt=default&vgnextchannel=4b3e471c5c503710VgnVCM1000008a4a900aRCRD
Madrid City Council. (2022). Infraestructura ciclista. https://geoportal.madrid.es/IDEAM_WBGEOPORTAL/dataset.iam?id=9a9fecbe-bd1b-11ea-8a2d-ecb1d753f6e8
Madrid City Council. (2024). Padrón municipal. https://www.madrid.es/portales/munimadrid/es/Inicio/El-Ayuntamiento/Estadistica/Areas-de-informacion-estadistica/Demografia-y-poblacion/Cifras-de-poblacion/Padron-Municipal-de-Habitantes-explotacion-estadistica-/?vgnextfmt=default&vgnextoid=e5613f8b73639210VgnVCM1000000b205a0aRCRD&vgnextchannel=a4eba53620e1a210VgnVCM1000000b205a0aRCRD
Mahalanobis, P. C. (1936). On the generalized distance in statistics. Proceedings of the National Institute of Sciences, 2, 49–55. https://doi.org/10.1145/1390156.1390302
Maliene, V., Dixon-Gough, R., & Malys, N. (2018). Dispersion of relative importance values contributes to the ranking uncertainty: Sensitivity analysis of multiple criteria decision-making methods. Applied Soft Computing Journal, 67, 286–298. https://doi.org/10.1016/j.asoc.2018.03.003
Mardani, A., Zavadskas, E. K., Govindan, K., Senin, A. A., & Jusoh, A. (2016). VIKOR technique: A systematic review of the state of the art literature on methodologies and applications. Sustainability, 8(1), Article 37. https://doi.org/10.3390/su8010037
Medeiros, C. P., Alencar, M. H., & de Almeida, A. T. (2017). Multidimensional risk evaluation of natural gas pipelines based on a multicriteria decision model using visualization tools and statistical tests for global sensitivity analysis. Reliability Engineering and System Safety, 165, 268–276. https://doi.org/10.1016/j.ress.2017.04.002
Mingardo, G. (2013). Transport and environmental effects of rail-based Park and Ride: evidence from the Netherlands. Journal of Transport Geography, 30, 7–16. https://doi.org/10.1016/j.jtrangeo.2013.02.004
Ministry of Development. (2009). Estrategia Española de movilidad sostenible. Government of Spain. https://www.miteco.gob.es/es/calidad-y-evaluacion-ambiental/participacion-publica/290409_eems_definitiva_tcm30-184109.pdf
Ministry of Development. (2014). Prescripciones y recomendaciones técnicas relativas a los contenidos mínimos a incluir en los estudios de rentabilidad de los estudios informativos o anteproyectos. Government of Spain. https://www.mitma.gob.es/recursos_mfom/ns_32014.pdf
Ministry of Development. (2016). Estudio de accidentes. Government of Spain. https://www.fomento.gob.es
Ministry of Industry. (2008). Reglamento de eficiencia energética en instalaciones de alumbrado exterior y sus Instrucciones técnicas complementarias EA-01 a EA-07. Government of Spain. https://www.boe.es/buscar/doc.php?id=BOE-A-2008-18634
Mousavi-Nasab, S. H., & Sotoudeh-Anvari, A. (2018). A new multi-criteria decision making approach for sustainable material selection problem: A critical study on rank reversal problem. Journal of Cleaner Production, 182, 466–484. https://doi.org/10.1016/j.jclepro.2018.02.062
Mufazzal, S., & Muzakkir, S. M. (2018). A new multi-criterion decision making (MCDM) method based on proximity indexed value for minimizing rank reversals. Computers and Industrial Engineering, 119, 427–438. https://doi.org/10.1016/j.cie.2018.03.045
Namdeo, A., Goodman, P., Mitchell, G., Hargreaves, A., & Echenique, M. (2019). Land-use, transport and vehicle technology futures: An air pollution assessment of policy combinations for the Cambridge Sub-Region of the UK. Cities, 89, 296–307. https://doi.org/10.1016/j.cities.2019.03.004
National Statistics Institute. (2019). Madrid: Población por municipios y sexo. https://www.ine.es/jaxiT3/Tabla.htm?t=2881&L=0
Noel, E. C. (2008). Park‐and‐ride: Alive, well, and expanding in the United States. Journal of Urban Planning and Development, 114(1), 2–13. https://doi.org/10.1061/(asce)0733-9488(1988)114:1(2)
Opricovic, S., & Tzeng, G. H. (2004). Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research, 156(2), 445–455. https://doi.org/10.1016/S0377-2217(03)00020-1
Opricovic, S., & Tzeng, G. H. (2007). Extended VIKOR method in comparison with outranking methods. European Journal of Operational Research, 178(2), 514–529. https://doi.org/10.1016/j.ejor.2006.01.020
Ortega, J., Tóth, J., Péter, T., & Moslem, S. (2020). An integrated model of park-and-ride facilities for sustainable urban mobility. Sustainability, 12(11), Article 4631. https://doi.org/10.3390/su12114631
Özen, H., Saraçoglu, A., Boz, F. K., & Kusakci, S. Ş. (2016). Evaluation of park and ride facilities in Istanbul using Geographic Information Systems (GIS). Sigma Journal of Engineering and Natural Sciences, 7(1), 79–88.
Parkhurst, G., & Meek, S. (2014). The effectiveness of park-and-ride as a policy measure for more sustainable mobility. Transport and Sustainability, 5, 185–211. https://doi.org/10.1108/S2044-994120140000005020
Perra, V. M., Sdoukopoulos, A., & Pitsiava-Latinopoulou, M. (2017). Evaluation of sustainable urban mobility in the city of Thessaloniki. Transportation Research Procedia, 24, 329–336. https://doi.org/10.1016/j.trpro.2017.05.103
Pohekar, S. D., & Ramachandran, M. (2004). Application of multi-criteria decision making to sustainable energy planning – A review. Renewable and Sustainable Energy Reviews, 8(4), 365–381. https://doi.org/10.1016/j.rser.2003.12.007
Qi, J., Hu, J., & Peng, Y. (2021). Modified rough VIKOR based design concept evaluation method compatible with objective design and subjective preference factors. Applied Soft Computing, 107, Article 107414. https://doi.org/10.1016/j.asoc.2021.107414
Qin, C., Li, B., Shi, B., Qin, T., Xiao, J., & Xin, Y. (2019). Location of substation in similar candidates using comprehensive evaluation method base on DHGF. Measurement: Journal of the International Measurement Confederation, 146, 152–158. https://doi.org/10.1016/j.measurement.2019.05.081
RACC. (2009). La congestión en los corredores de acceso a Madrid. https://movilidad.racc.es/wp-content/uploads/importfichas/fichasFundacion/Multimedia/1428321289245/blob/congestion_madrid_anexoI.pdf
Ramezanianpour, A. A., Tabatabaei, S. A., Pourlak, M., & Abareshi, M. (2016). AHP-VIKOR bridge structural system selection in urban areas Tehran: Interchanges case study. Ambient Science, 3(2), 48–54. https://doi.org/10.21276/ambi.2016.03.2.ta05
Rolland, A. (2013). Reference-based preferences aggregation procedures in multi-criteria decision making. European Journal of Operational Research, 225(3), 479–486. https://doi.org/10.1016/j.ejor.2012.10.013
RPS Group. (2009). The effectiveness and sustainability of park and ride. http://www.historictownsforum.org/files/documents/consultation_documents/The_effectiveness_and_Sustainability_of_Park_and_Ride.pdf
Saaty, T. L. (1990). How to make a decision: The analytic hierarchy process. European Journal of Operational Research, 48(1), 9–26. https://doi.org/10.1016/0377-2217(90)90057-I
Saaty, T. L. (1996). Decision making with dependence and feedback: The Analytic Network Process. RWS Publications.
Sennaroglu, B., & Varlik Celebi, G. (2018). A military airport location selection by AHP integrated PROMETHEE and VIKOR methods. Transportation Research Part D: Transport and Environment, 59, 160–173. https://doi.org/10.1016/j.trd.2017.12.022
Seville City Council. (2019). Tabla de indicadores de emisiones gei del transporte. https://www.sevilla.org/servicios/economia/agencia-energia-sostenibilidad/documentos
Shahrasbi, A., Shamizanjani, M., Alavidoost, M. H., & Akhgar, B. (2017). An aggregated fuzzy model for the selection of a managed security service provider. International Journal of Information Technology and Decision Making, 16(3), 625–684. https://doi.org/10.1142/S0219622017500158
Shannon, C. E. (1948). A mathematical theory of communication. The Bell System Technical Journal, 27(3), 379–423. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x
Sharma, B., Hickman, M., & Nassir, N. (2019). Park-and-ride lot choice model using random utility maximization and random regret minimization. Transportation, 46(1), 217–232. https://doi.org/10.1007/s11116-017-9804-0
Shen, X., Chen, F., Su, B., Chen, Q., & Yao, J. (2017). Optimization of park-and-ride system: A case study of Shunyi in Beijing. Advances in Mechanical Engineering, 9(8). https://doi.org/10.1177/1687814017714987
Shumaiza, Akram, M., Al-Kenani, A. N., & Alcantud, J. C. R. (2019). Group decision-making based on the VIKOR method with trapezoidal bipolar fuzzy information. Symmetry, 11(10), Article 1313. https://doi.org/10.3390/sym11101313
Siemens plc. (2017). Madrid 2020–2030: Un aire más limpio en una ciudad centrada en sus ciudadanos. https://assets.new.siemens.com/siemens/assets/public.1529405644.b73775825e3cad10ce1dc4bdacf37a8854ff58f5.estudio-city-performance-tool-madrid.pdf
Sierra, L. A., Yepes, V., & Pellicer, E. (2018). A review of multi-criteria assessment of the social sustainability of infrastructures. Journal of Cleaner Production, 187(20), 496–513. https://doi.org/10.1016/j.jclepro.2018.03.022
Simanaviciene, R., & Ustinovichius, L. (2010). Sensitivity analysis for multiple criteria decision making methods: TOPSIS and SAW. Procedia - Social and Behavioral Sciences, 2(6), 7743–7744. https://doi.org/10.1016/j.sbspro.2010.05.207
Song, J. Y., & Chung, E. S. (2016). Robustness, uncertainty and sensitivity analyses of the TOPSIS method for quantitative climate change vulnerability: a case study of flood damage. Water Resources Management, 30(13), 4751–4771. https://doi.org/10.1007/s11269-016-1451-2
Stead, D., & Meijers, E. (2004). Policy integration in practice: some experiences of integrating transport, land-use planning and environmental policies in local government. In Berlin Conference on the Human Dimensions of Global Environmental Change: Greening of Policies – Interlinkages and Policy Integration, Berlin, Germany.
Su, L., Wang, T., Li, H., Chao, Y., & Wang, L. (2020). Multi-criteria decision making for identification of unbalanced bidding. Journal of Civil Engineering and Management, 26(1), 43–52. https://doi.org/10.3846/jcem.2019.11568
The World Bank. (2014). CO2 emissions (metric tons per capita). https://data.worldbank.org/indicator/EN.ATM.CO2E.PC
United Nations Climate Change. (2015). Adoption of the Paris agreement. Proposal by the President. Conference of the Parties COP 21 (Vol. 21932). https://undocs.org/FCCC/CP/2015/L.9/Rev.1 UNFCCC
United Nations. (2015). Cities – United Nations sustainable development action 2015. https://www.un.org/sustainabledevelopment/cities/
Vega, A., Aguarón, J., García-Alcaraz, J., & Moreno-Jiménez, J. M. (2014). Notes on dependent attributes in TOPSIS. Procedia Computer Science, 31, 308–317. https://doi.org/10.1016/j.procs.2014.05.273
Wang, J. Y. T., Yang, H., & Lindsey, R. (2004). Locating and pricing park-and-ride facilities in a linear monocentric city with deterministic mode choice. Transportation Research Part B: Methodological, 38(8), 709–731. https://doi.org/10.1016/j.trb.2003.10.002
Wang, Z. X., Li, D. D., & Zheng, H. H. (2018). The external performance appraisal of china energy regulation: An empirical study using a TOPSIS method based on entropy weight and Mahalanobis distance. International Journal of Environmental Research and Public Health, 15(2), Article 236. https://doi.org/10.3390/ijerph15020236
World Health Organization. (2023). Air pollution: The invisible health threat. https://www.who.int/news-room/feature-stories/detail/air-pollution--the-invisible-health-threat
Ye, J. (2010). Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment. European Journal of Operational Research, 205(1), 202–204. https://doi.org/10.1016/j.ejor.2010.01.019
Yorulmaz, Ö., Yildirim, S. K., & Yildirim, B. F. (2021). Robust Mahalanobis distance based topsis to evaluate the economic development of provinces. Operational Research in Engineering Sciences: Theory and Applications, 4(2), 102–123. https://doi.org/10.31181/oresta20402102y
Zhang, J., Wang, D. Z. W., & Meng, M. (2018). Which service is better on a linear travel corridor: Park & ride or on-demand public bus?. Transportation Research Part A: Policy and Practice, 118, 803–818. https://doi.org/10.1016/j.tra.2018.10.003
Zhu, X., Meng, X., & Zhang, M. (2021). Application of multiple criteria decision making methods in construction: a systematic literature review. Journal of Civil Engineering and Management, 27(6), 372–403. https://doi.org/10.3846/jcem.2021.15260