{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T06:15:21Z","timestamp":1783059321533,"version":"3.54.6"},"reference-count":41,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Engineering Applications of Artificial Intelligence"],"published-print":{"date-parts":[[2026,8]]},"DOI":"10.1016\/j.engappai.2026.114884","type":"journal-article","created":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T18:44:38Z","timestamp":1776797078000},"page":"114884","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"P1","title":["Damping-accumulating discrete grey power model and its application in collaborative prediction of energy transition"],"prefix":"10.1016","volume":"177","author":[{"given":"Xinqing","family":"Qiao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-6498-0487","authenticated-orcid":false,"given":"Wenping","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib1","article-title":"A new sizing framework for a hybrid energy system with fuel cell incorporating data forecasting, enhanced optimizer, and seasonal variations: a case study for China","volume":"256","author":"Duan","year":"2026","journal-title":"Renew. Energy"},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib2","article-title":"A novel grey model based on susceptible infected recovered model: a case study of COVD-19","volume":"602","author":"Duan","year":"2022","journal-title":"Physica A"},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib3","first-page":"1","article-title":"Analysis of carbon peaking in the yellow river basin under low-carbon development and energy security constraints","volume":"1","author":"Feng","year":"2025","journal-title":"J. Beijing Univ. Technol."},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_sref4","doi-asserted-by":"crossref","first-page":"803","DOI":"10.1016\/j.renene.2021.09.072","article-title":"A novel method for carbon emission forecasting based on Gompertz's law and fractional grey model: evidence from American industrial sector","volume":"181","author":"Gao","year":"2022","journal-title":"Renew. Energy"},{"issue":"11","key":"10.1016\/j.engappai.2026.114884_bib5","first-page":"112","article-title":"Model Construction and Application of Multivariable MGM(1,m) Coupled Systems Based on the Principle of Autoreflection","volume":"23","author":"Guo","year":"2015","journal-title":"Chinese Journal of Management Science"},{"issue":"11","key":"10.1016\/j.engappai.2026.114884_bib6","first-page":"76","article-title":"The impact of energy efficiency differences within industries on corporate transformation: theory and empirical evidence. China population","volume":"34","author":"Hao","year":"2024","journal-title":"Resour. Environ."},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib7","article-title":"Disparities of long term urban expansion over 7000 cities globally: insights combining two-dimensional urban area and the three-dimensional urban building volume","volume":"117","author":"Hou","year":"2026","journal-title":"Environ Impact Asses"},{"issue":"11","key":"10.1016\/j.engappai.2026.114884_bib8","first-page":"39","article-title":"Air combat situation assessment based on improved MGM(1,N) trajectory prediction","volume":"27","author":"Hu","year":"2020","journal-title":"Electron. Opt. Control"},{"issue":"3","key":"10.1016\/j.engappai.2026.114884_bib9","doi-asserted-by":"crossref","first-page":"474","DOI":"10.3724\/BNSFC-2025.02.02.0002","article-title":"Scientific issues in energy conversion and utilization under the dual carbon goals","volume":"39","author":"Jin","year":"2025","journal-title":"Bulletin of National Natural Science Foundation of China."},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib10","article-title":"Multilinear hyperspectral unmixing based on autoencoder and recurrent neural network","volume":"185","author":"Jin","year":"2025","journal-title":"Appl. Soft Comput."},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib11","article-title":"Elderly population migration and urban energy consumption: voluntary relocation or forced displacement?","volume":"149","author":"Lee","year":"2025","journal-title":"Energy Econ."},{"issue":"9","key":"10.1016\/j.engappai.2026.114884_bib12","first-page":"1728","article-title":"Determinants of China's implied energy consumption and intensity from a demand-side perspective","volume":"43","author":"Li","year":"2021","journal-title":"Resour. Sci."},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib13","article-title":"Optimization of electric vehicle charging strategies in residential integrated energy systems: a SARIMA model approach for dynamic electricity prices","volume":"330","author":"Li","year":"2025","journal-title":"Energy"},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib14","doi-asserted-by":"crossref","DOI":"10.1080\/17538947.2025.2496403","article-title":"An efficient retrieval method on google Earth Engine and comparison with hybrid methods: a case study of leaf area index retrieval","volume":"18","author":"Li","year":"2025","journal-title":"Int. J. Digit. Earth"},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib15","article-title":"Marine and land economy-energy-environment systems forecasting by novel structural-adaptive fractional time-delay nonlinear systematic grey model","volume":"126","author":"Li","year":"2023","journal-title":"Eng. Appl. Artif. Intell."},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib16","article-title":"An innovative prediction algorithm based on grey modeling theory and the marine predators algorithm for short-term carbon dioxide emissions in China","volume":"137","author":"Liu","year":"2024","journal-title":"Eng. Appl. Artif. Intell."},{"issue":"4","key":"10.1016\/j.engappai.2026.114884_bib17","article-title":"The damping accumulated grey model and its application","volume":"95","author":"Liu","year":"2021","journal-title":"Commun Nonlinear Sci"},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib18","article-title":"Decoding CO2 futures in representative Green belt and road countries: evidence from China, India, and Russia","volume":"117","author":"Long","year":"2026","journal-title":"Environ Impact Asses"},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib19","article-title":"A grey prediction model based on Von Bertalanffy equation and its application in energy prediction","volume":"143","author":"Pour","year":"2025","journal-title":"Eng. Appl. Artif. Intell."},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib20","doi-asserted-by":"crossref","DOI":"10.1155\/2024\/1193134","article-title":"Robust prediction of healthcare inflation rate with statistical and AI methods in Iran","volume":"2024","author":"Shaibani","year":"2024","journal-title":"J. Appl. Math."},{"issue":"4","key":"10.1016\/j.engappai.2026.114884_bib21","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1023\/A:1008202821328","article-title":"Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces","volume":"11","author":"Storn","year":"1997","journal-title":"J. Global Optim."},{"issue":"6","key":"10.1016\/j.engappai.2026.114884_bib22","first-page":"24","article-title":"A method for predicting highway freight volume based on the GC-rBPNN model during the pandemic","volume":"39","author":"Tian","year":"2021","journal-title":"J. Guangxi Normal Univ."},{"issue":"3","key":"10.1016\/j.engappai.2026.114884_bib23","first-page":"68","article-title":"Spatial-temporal evolution and driving factors of China's urban energy transition","volume":"1","author":"Wang","year":"2025","journal-title":"Inquiry into Economic Issues"},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib24","article-title":"A novel grey model based on fractional derivative and self-adaptive reverse accumulation and its application in energy forecasting","volume":"165","author":"Wang","year":"2026","journal-title":"Eng. Appl. Artif. Intell."},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib25","first-page":"96","article-title":"A novel time-varying non-homogeneous discrete grey model and its application in forecasting solar energy generation in total North America","volume":"37","author":"Xia","year":"2025","journal-title":"J Grey Syst-Uk."},{"issue":"9","key":"10.1016\/j.engappai.2026.114884_bib26","first-page":"116","article-title":"Pooling energy, harnessing power: an analysis of the effects and mechanisms of energy rights trading in driving new quality productivity","volume":"1","author":"Xia","year":"2025","journal-title":"Inquiry into Economic Issues"},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib27","article-title":"A new grey model for traffic flow mechanics","volume":"88","author":"Xiao","year":"2020","journal-title":"Eng. Appl. Artif. Intell."},{"issue":"2","key":"10.1016\/j.engappai.2026.114884_bib28","doi-asserted-by":"crossref","first-page":"1173","DOI":"10.1016\/j.apm.2008.01.011","article-title":"Discrete grey forecasting model and its optimization","volume":"33","author":"Xie","year":"2009","journal-title":"Appl. Math. Model."},{"issue":"7","key":"10.1016\/j.engappai.2026.114884_bib29","first-page":"130","article-title":"The MGM(1,m,N) model based on a novel kernel and grayscale sequence and its applications","volume":"30","author":"Xiong","year":"2022","journal-title":"Chinese Journal of Management Science"},{"issue":"3","key":"10.1016\/j.engappai.2026.114884_bib30","first-page":"771","article-title":"Construction of the Grey MGM(1,m,N) model and its application in haze prediction","volume":"40","author":"Xiong","year":"2020","journal-title":"Systems Engineering-Theory & Practice"},{"issue":"8","key":"10.1016\/j.engappai.2026.114884_bib31","first-page":"18","article-title":"Multivariable time-delay discrete MGM(1,m,\u03c4) model and its applications","volume":"35","author":"Xiong","year":"2019","journal-title":"Stat. Decis."},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib32","first-page":"15","article-title":"Improved initial and background values, optimized MGM(1,m) model and its applications","volume":"36","author":"Zhang","year":"2020","journal-title":"Stat. Decis."},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib42","doi-asserted-by":"crossref","first-page":"103711","DOI":"10.1016\/j.inffus.2025.103711","article-title":"PrivLSTM: A privacy-preserving LSTM inference framework by fusing encryption and network structure for multi-sourced Data","volume":"127","author":"Zhang","year":"2026","journal-title":"Inf. Fusion"},{"issue":"10","key":"10.1016\/j.engappai.2026.114884_bib33","first-page":"1","article-title":"The theoretical foundations and strategic pathways for further deepening the energy revolution in the context of national energy security","volume":"1","author":"Zhang","year":"2025","journal-title":"On Economic Problems"},{"issue":"9","key":"10.1016\/j.engappai.2026.114884_bib34","first-page":"27","article-title":"Building synergistic pathways for carbon tax and carbon emission trading under the dual carbon","volume":"1","author":"Zhang","year":"2025","journal-title":"Goals. Intertrade."},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib35","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/j.apm.2023.09.026","article-title":"Prediction of demand for staple food and feed grain by a novel hybrid fractional discrete multivariate grey model","volume":"125","author":"Zhang","year":"2024","journal-title":"Appl. Math. Model."},{"issue":"4","key":"10.1016\/j.engappai.2026.114884_bib36","first-page":"66","article-title":"Background value optimization-based MGM(1,m) self-memory coupling model and its application","volume":"45","author":"Zhang","year":"2024","journal-title":"J. Inn. Mong. Agric. Univ. (Nat. Sci. Ed.)"},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib38","first-page":"105","article-title":"Improved response surface method based on LSSVR, RBFNN, and GPR for slope reliability analysis","volume":"20","author":"Zhao","year":"2026","journal-title":"Georisk"},{"issue":"2","key":"10.1016\/j.engappai.2026.114884_bib39","first-page":"31","article-title":"Fatigue life prediction of recycled concrete based on improved MGM(1,1) model","volume":"41","author":"Zhou","year":"2024","journal-title":"Journal of Architecture and Civil Engineering"},{"issue":"2","key":"10.1016\/j.engappai.2026.114884_bib40","first-page":"105","article-title":"Application research of optimized MGM(1,n) model in slope settlement prediction","volume":"39","author":"Zhu","year":"2023","journal-title":"Journal of Transport Science and Engineering"},{"issue":"1","key":"10.1016\/j.engappai.2026.114884_bib41","article-title":"Analyzing dynamics of crude oil price amid sudden events and intervention measures: insights from a Prophet-QR model","volume":"401","author":"Zhuo","year":"2025","journal-title":"Appl. Energy"}],"updated-by":[{"DOI":"10.1016\/j.engappai.2026.115426","type":"erratum","label":"Erratum","source":"publisher","updated":{"date-parts":[[2026,6,12]],"date-time":"2026-06-12T00:00:00Z","timestamp":1781222400000}}],"container-title":["Engineering Applications of Artificial Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0952197626011668?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0952197626011668?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T05:16:30Z","timestamp":1783055790000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0952197626011668"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,8]]},"references-count":41,"alternative-id":["S0952197626011668"],"URL":"https:\/\/doi.org\/10.1016\/j.engappai.2026.114884","relation":{},"ISSN":["0952-1976"],"issn-type":[{"value":"0952-1976","type":"print"}],"subject":[],"published":{"date-parts":[[2026,8]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Damping-accumulating discrete grey power model and its application in collaborative prediction of energy transition","name":"articletitle","label":"Article Title"},{"value":"Engineering Applications of Artificial Intelligence","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.engappai.2026.114884","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"114884"}}