{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T00:08:54Z","timestamp":1768435734472,"version":"3.49.0"},"reference-count":35,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2023,11,4]],"date-time":"2023-11-04T00:00:00Z","timestamp":1699056000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>The section of the Mantaro River that flows through the department of Huancavelica, Peru, has been affected by toxic wastes and mineral residues from industrial and mining activities, which have directly impacted the water quality. In this work, a grey system model, based on the grey clustering method, was used to assess water quality. The grey clustering method was applied using the central point of triangular whitening weight functions (CTWF). In addition, the Prati index and the Environmental Quality Standards for water from the Peru government were revised and used for this study. In the case study, six physicochemical parameters, pH, DO, BOD, Cd, As, and Pb, at nine monitoring points were assessed along the Mantaro River. The results showed that the sixth monitoring point (P6), which is influenced by mining activity, was highly contaminated, while the other points were classified as noncontaminated. Finally, the results obtained by applying the grey clustering method can be useful to competent authorities, for decision making on water management in this watershed.<\/jats:p>","DOI":"10.3390\/computation11110223","type":"journal-article","created":{"date-parts":[[2023,11,4]],"date-time":"2023-11-04T14:51:01Z","timestamp":1699109461000},"page":"223","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Grey Systems Model to Assess Water Quality in Mantaro River in Peru"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0470-8535","authenticated-orcid":false,"given":"Alexi","family":"Delgado","sequence":"first","affiliation":[{"name":"Grupo de Investigaci\u00f3n en Ciencias de la Tierra, Medio Ambiente y Sostenibilidad\u2014CITMAS, Pontificia Universidad Cat\u00f3lica del Per\u00fa PUCP, Lima 15023, Peru"}]},{"given":"Joshis","family":"Culqui","sequence":"additional","affiliation":[{"name":"Grupo de Investigaci\u00f3n en Ciencias de la Tierra, Medio Ambiente y Sostenibilidad\u2014CITMAS, Pontificia Universidad Cat\u00f3lica del Per\u00fa PUCP, Lima 15023, Peru"}]},{"given":"Marisabel","family":"Lazo","sequence":"additional","affiliation":[{"name":"Grupo de Investigaci\u00f3n en Ciencias de la Tierra, Medio Ambiente y Sostenibilidad\u2014CITMAS, Pontificia Universidad Cat\u00f3lica del Per\u00fa PUCP, Lima 15023, Peru"}]},{"given":"Valeria","family":"Guerrero","sequence":"additional","affiliation":[{"name":"Grupo de Investigaci\u00f3n en Ciencias de la Tierra, Medio Ambiente y Sostenibilidad\u2014CITMAS, Pontificia Universidad Cat\u00f3lica del Per\u00fa PUCP, Lima 15023, Peru"}]},{"given":"Isabel","family":"Delgado","sequence":"additional","affiliation":[{"name":"Grupo de Investigaci\u00f3n en Ciencias de la Tierra, Medio Ambiente y Sostenibilidad\u2014CITMAS, Pontificia Universidad Cat\u00f3lica del Per\u00fa PUCP, Lima 15023, Peru"}]}],"member":"1968","published-online":{"date-parts":[[2023,11,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Isaeva, I.I., Voronin, A.A., Khoperskov, A.V., and Kharitonov, M.A. (2022). Modeling the Territorial Structure Dynamics of the Northern Part of the Volga-Akhtuba Floodplain. Computation, 10.","DOI":"10.3390\/computation10040062"},{"key":"ref_2","unstructured":"(2023, September 10). Scopus\u2014Document Details\u2014Using a Retention Pond to Capture Agricultural Contaminants from Surface Waters. Available online: https:\/\/www-scopus-com.ezproxybib.pucp.edu.pe\/record\/display.uri?eid=2-s2.0-85168807628&origin=resultslist&sort=plf-f&src=s&sid=7f8537cfbcb3fbae7cae20025d72297b&sot=b&sdt=b&s=TITLE-ABS-KEY%28water+quality+surface%29&sl=36&sessionSearchId=7f8537cfbcb3fbae7cae20025d72297b."},{"key":"ref_3","unstructured":"(2023, June 05). Clima de Cambios PUCP Desborde de Relave Minero En Huancavelica Contamin\u00f3 3 R\u00edos. Available online: https:\/\/www.pucp.edu.pe\/climadecambios\/noticias\/desborde-de-relave-minero-en-huancavelica-contamino-3-rios\/."},{"key":"ref_4","unstructured":"Fu, X.Q., and Zou, Z.H. (2018). IOP Conference Series: Earth and Environmental Science, IOP Publishing."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1007\/s10113-021-01825-8","article-title":"Climate Change, Power, and Vulnerabilities in the Peruvian Highlands","volume":"21","author":"Heikkinen","year":"2021","journal-title":"Reg. Environ. Chang."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"2217","DOI":"10.1109\/TLA.2016.7530416","article-title":"Electrical Assessment by Lightning Phenomenon in Power Lines of Double Circuit","volume":"14","author":"Lara","year":"2016","journal-title":"IEEE Lat. Am. Trans."},{"key":"ref_7","unstructured":"(2023, July 24). Scopus\u2014Document Details\u2014Surface Adsorption Mechanism between Lead(II,IV) and Nanomaghemite Studied on Polluted Water Samples Collected from the Peruvian Rivers Mantaro and Cumbaza. Available online: https:\/\/www-scopus-com.ezproxybib.pucp.edu.pe\/record\/display.uri?eid=2-s2.0-85160453137&origin=resultslist&sort=plf-f&src=s&sid=cbb4fa490103faa502b4ce395ce724c5&sot=b&sdt=b&s=TITLE-ABS-KEY%28mantaro%29&sl=22&sessionSearchId=cbb4fa490103faa502b4ce395ce724c5."},{"key":"ref_8","unstructured":"(2023, July 24). Scopus\u2014Document Details\u2014Lead and Cadmium Bioaccumulation in Fresh Cow\u2019s Milk in an Intermediate Area of the Central Andes of Peru and Risk to Human Health. Available online: https:\/\/www-scopus-com.ezproxybib.pucp.edu.pe\/record\/display.uri?eid=2-s2.0-85132198992&origin=resultslist&sort=plf-f&src=s&sid=cbb4fa490103faa502b4ce395ce724c5&sot=b&sdt=b&s=TITLE-ABS-KEY%28mantaro+river%29&sl=22&sessionSearchId=cbb4fa490103faa502b4ce395ce724c5."},{"key":"ref_9","unstructured":"(2023, July 24). Scopus\u2014Document Details\u2014Bioadsorption by Coffee Leaves in Poluted River Mantaro Water at Central Peru. Available online: https:\/\/www-scopus-com.ezproxybib.pucp.edu.pe\/record\/display.uri?eid=2-s2.0-85126368489&origin=resultslist&sort=plf-f&src=s&sid=cbb4fa490103faa502b4ce395ce724c5&sot=b&sdt=b&s=TITLE-ABS-KEY%28mantaro+river%29&sl=22&sessionSearchId=cbb4fa490103faa502b4ce395ce724c5."},{"key":"ref_10","unstructured":"(2023, July 24). Scopus\u2014Document Details\u2014Evaluation of the Quality of Drinking Water and Rivers in the Mantaro Valley, Central Peru. Available online: https:\/\/www-scopus-com.ezproxybib.pucp.edu.pe\/record\/display.uri?eid=2-s2.0-85124007792&origin=resultslist&sort=plf-f&src=s&sid=cbb4fa490103faa502b4ce395ce724c5&sot=b&sdt=b&s=TITLE-ABS-KEY%28mantaro+river%29&sl=22&sessionSearchId=cbb4fa490103faa502b4ce395ce724c5."},{"key":"ref_11","unstructured":"(2023, July 24). Scopus\u2014Document Details\u2014Surface Water Quality in the Mantaro River Watershed Assessed after the Cessation of Anthropogenic Activities Due to the COVID-19 Pandemic. Available online: https:\/\/www-scopus-com.ezproxybib.pucp.edu.pe\/record\/display.uri?eid=2-s2.0-85107620913&origin=resultslist&sort=plf-f&src=s&sid=cbb4fa490103faa502b4ce395ce724c5&sot=b&sdt=b&s=TITLE-ABS-KEY%28mantaro+river%29&sl=22&sessionSearchId=cbb4fa490103faa502b4ce395ce724c5."},{"key":"ref_12","unstructured":"Caycho Bustamante, M. (2012). Denuncia de Contaminaci\u00f3n En La Cuenca Del Mantaro."},{"key":"ref_13","first-page":"83","article-title":"La Urbanizaci\u00f3n En El Valle Del Mantaro y Su Influencia En La Actividad Agr\u00edcola","volume":"6","author":"Chuquimantari","year":"2013","journal-title":"Ciudad Arquit."},{"key":"ref_14","first-page":"53","article-title":"Application of Grey Clustering Method","volume":"2","author":"Zhou","year":"2006","journal-title":"J. Am. Sci."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Delgado, A., Aguirre, A., Palomino, E., and Salazar, G. (2017, January 22\u201324). Applying Triangular Whitenization Weight Functions to Assess Water Quality of Main Affluents of Rimac River. Proceedings of the 2017 Electronic Congress (E-CON UNI), Lima, Peru.","DOI":"10.1109\/ECON.2017.8247308"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Delgado, A., and Romero, I. (2017, January 28). Environmental Conflict Analysis on a Hydrocarbon Exploration Project Using the Shannon Entropy. Proceedings of the 2017 Electronic Congress, E-CON UNI 2017, Lima, Peru.","DOI":"10.1109\/ECON.2017.8247309"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Wang, J., Wang, J., and Wang, B. (November, January 31). Improved Fault Diagnosis Method for Power Systems Based on Grey System Theory. Proceedings of the 2017 International Conference on Dependable Systems and Their Applications (DSA), Beijing, China.","DOI":"10.1109\/DSA.2017.41"},{"key":"ref_18","unstructured":"Liu, S., and Lin, Y. (2006). Grey Information: Theory and Practical Applications, Springer."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Liu, S., and Lin, Y. (2011). Grey Systems Theory and Applications, Springer. Understanding Complex Systems.","DOI":"10.1007\/978-3-642-16158-2"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"741","DOI":"10.1016\/0043-1354(71)90097-2","article-title":"Assessment of Surface Water Quality by Single Index Pollution","volume":"5","author":"Prati","year":"1971","journal-title":"Water Res."},{"key":"ref_21","unstructured":"(2023, September 10). Scopus\u2014Document Details\u2014Grey-Incidence Clustering Decision-Making Method with Three-Parameter Interval Grey Number Based on Regret Theory. Available online: https:\/\/www-scopus-com.ezproxybib.pucp.edu.pe\/record\/display.uri?eid=2-s2.0-85040098852&origin=resultslist&sort=r-f&src=s&sid=7f8537cfbcb3fbae7cae20025d72297b&sot=b&sdt=b&s=TITLE-ABS-KEY%28grey+clustering%29&sl=36&sessionSearchId=7f8537cfbcb3fbae7cae20025d72297b."},{"key":"ref_22","unstructured":"Calixto, C.C. (2019). Coordinadora Regional Pasco Mesa de Concertaci\u00f3n Para la Lucha Contra la Pobreza, GRP."},{"key":"ref_23","unstructured":"Pinto Herrera, H. (2010). Ecological and Environmental Disaster in Huancavelica, Universidad Nacional Mayor de San Marcos."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Xu, P., Zhang, Y., Wu, S., and Feng, Y. (2009, January 11\u201313). The Forecast of the Surface Water Environment of Caohe River. Proceedings of the 2009 3rd International Conference on Bioinformatics and Biomedical Engineering, Beijing, China.","DOI":"10.1109\/ICBBE.2009.5163617"},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Li, Y., Niu, Y., Wang, W., and Li, B. (2017, January 8\u201311). Grey-Incidence Clustering Decision-Making Method with Three-Parameter Interval Grey Number Based on Regret Theory. Proceedings of the 2017 International Conference on Grey Systems and Intelligent Services (GSIS), Stockholm, Sweden.","DOI":"10.1109\/GSIS.2017.8077706"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1328","DOI":"10.1016\/j.proenv.2011.12.199","article-title":"Study on the Self-Purification of Juma River","volume":"11","author":"Tian","year":"2011","journal-title":"Procedia Environ. Sci."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Delgado, A., Condori, R., Hern\u00e1ndez, M., Huamani, E.L., and Andrade-Arenas, L. (2023). Artificial Intelligence Model Based on Grey Clustering to Access Quality of Industrial Hygiene: A Case Study in Peru. Computation, 11.","DOI":"10.3390\/computation11030051"},{"key":"ref_28","unstructured":"(2023, September 10). Scopus\u2014Document Details\u2014Gray Relational Clustering Model for Intelligent Guided Monitoring Horizontal Wells. Available online: https:\/\/www-scopus-com.ezproxybib.pucp.edu.pe\/record\/display.uri?eid=2-s2.0-85051422009&origin=resultslist&sort=r-f&src=s&sid=7f8537cfbcb3fbae7cae20025d72297b&sot=b&sdt=b&s=TITLE-ABS-KEY%28grey+clustering%29&sl=36&sessionSearchId=7f8537cfbcb3fbae7cae20025d72297b."},{"key":"ref_29","unstructured":"(2023, September 10). Scopus\u2014Document Details\u2014A Study on the Quality Evaluation Index System of Smart Home Care for Older Adults in the Community\u2014Based on Delphi and AHP. Available online: https:\/\/www-scopus-com.ezproxybib.pucp.edu.pe\/record\/display.uri?eid=2-s2.0-85149409641&origin=resultslist&sort=plf-f&src=s&sid=e83d2817ddded2e67cdb1f95dd5eb5dc&sot=b&sdt=b&s=TITLE-ABS-KEY%28AHP+delphi%29&sl=25&sessionSearchId=e83d2817ddded2e67cdb1f95dd5eb5dc."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"3892","DOI":"10.1109\/TED.2023.3280151","article-title":"Multi-Objective Optimization of High-Power Microwave Sources Based on Multi-Criteria Decision-Making and Multi-Objective Micro-Genetic Algorithm","volume":"70","author":"Yang","year":"2023","journal-title":"IEEE Trans. Electron Devices"},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Sun, X., Ren, Q., and Hsu, W.L. (2020, January 23\u201325). Framework for Evaluation Index System of Carrying Water Resource. Proceedings of the 2020 IEEE Eurasia Conference on IOT, Communication and Engineering (ECICE), Yunlin, Taiwan.","DOI":"10.1109\/ECICE50847.2020.9302020"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Sun, Y., Hoi, L.M., and Kei Im, S. (2023, January 29\u201331). Constructing the Evaluation Index System of Chinese-Portuguese Machine Translation Using the Delphi and Analytic Hierarchy Process Methods. Proceedings of the 2023 IEEE 3rd International Conference on Power, Electronics and Computer Applications (ICPECA), Shenyang, China.","DOI":"10.1109\/ICPECA56706.2023.10075920"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"She, R., and Fu, D. (2023, January 7\u20139). Research on Evaluation Strategy of Heterogeneous Computing Chip Based on Improved Common Origin Grey Clustering. Proceedings of the 2023 4th International Conference on Computer Engineering and Application (ICCEA), Hangzhou, China.","DOI":"10.1109\/ICCEA58433.2023.10135329"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"48","DOI":"10.17762\/ijritcc.v10i5.5553","article-title":"Implementation of a Web System for the Improvement in Sales and in the Application of Digital Marketing in the Company Selcom","volume":"10","author":"Delgado","year":"2022","journal-title":"Int. J. Recent Innov. Trends Comput. Commun."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"12226","DOI":"10.1109\/ACCESS.2023.3240692","article-title":"A Method of Power Supply Health State Estimation Based on Grey Clustering and Fuzzy Comprehensive Evaluation","volume":"11","author":"Zhao","year":"2023","journal-title":"IEEE Access"}],"container-title":["Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2079-3197\/11\/11\/223\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T21:17:43Z","timestamp":1760131063000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2079-3197\/11\/11\/223"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,4]]},"references-count":35,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2023,11]]}},"alternative-id":["computation11110223"],"URL":"https:\/\/doi.org\/10.3390\/computation11110223","relation":{},"ISSN":["2079-3197"],"issn-type":[{"value":"2079-3197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,11,4]]}}}