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However, the long-term development of cities has also caused damage to resources and the environment. Hence, objective and scientific evaluation of urban low-carbon sustainable development capacity is very important. An index system of urban low-carbon sustainable development capability is constructed in this paper, and a TOPSIS-BP neural network model is established to evaluate the low-carbon sustainable development capability of Beijing, Shanghai, Shenzhen, and Guangzhou in China. At the same time, the difference degree of low-carbon sustainable development level in these four cities is analyzed by standard deviation and coefficient of variation, and the influencing factors of urban low-carbon sustainable development ability are extracted by grey correlation analysis. The results show that (1) the capability of low-carbon sustainable development in four cities is rising and the difference of low-carbon sustainable development capability is decreasing; (2) the general view that the higher the general investment in low-carbon sustainable development, the higher the level of low-carbon sustainable development in cities has not been verified; (3) with the change of time series, the factors affecting the capability of low-carbon sustainable development in the same city are different and the influence of the same factor on the capability of low-carbon sustainable development in different cities is different.<\/jats:p>","DOI":"10.1155\/2020\/6616988","type":"journal-article","created":{"date-parts":[[2020,12,22]],"date-time":"2020-12-22T19:05:07Z","timestamp":1608663907000},"page":"1-16","source":"Crossref","is-referenced-by-count":25,"title":["Evaluation of the Urban Low-Carbon Sustainable Development Capability Based on the TOPSIS-BP Neural Network and Grey Relational Analysis"],"prefix":"10.1155","volume":"2020","author":[{"given":"Wei","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Public Administration, Central China Normal University, Wuhan 430079, China"}]},{"given":"Xinxin","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Public Administration, Central China Normal University, Wuhan 430079, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9129-8345","authenticated-orcid":true,"given":"Fan","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Business Administration, Zhongnan University of Economics and Law, Wuhan 430073, China"}]},{"given":"Yan","family":"Huang","sequence":"additional","affiliation":[{"name":"School of Business Administration, Zhongnan University of Economics and Law, Wuhan 430073, China"}]},{"given":"Yuwei","family":"Xie","sequence":"additional","affiliation":[{"name":"School of Business Administration, Zhongnan University of Economics and Law, Wuhan 430073, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1080\/01944369608975696"},{"key":"2","doi-asserted-by":"crossref","first-page":"783","DOI":"10.1007\/978-0-387-73412-5_50","article-title":"Beyond greenbelts and zoning: a new planning concept for the environment of Asian mega-cities","volume-title":"Urban Ecology","author":"M. 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