{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:50:07Z","timestamp":1753887007040,"version":"3.41.2"},"reference-count":26,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,9,3]],"date-time":"2012-09-03T00:00:00Z","timestamp":1346630400000},"content-version":"vor","delay-in-days":246,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Doctoral Programme of Higher Education","award":["20113705120003","ZR2010FM022","ZR2010FM018"],"award-info":[{"award-number":["20113705120003","ZR2010FM022","ZR2010FM018"]}]},{"name":"Shandong Natural Science Foundation","award":["20113705120003","ZR2010FM022","ZR2010FM018"],"award-info":[{"award-number":["20113705120003","ZR2010FM022","ZR2010FM018"]}]},{"name":"Shandong Natural Science Foundation","award":["20113705120003","ZR2010FM022","ZR2010FM018"],"award-info":[{"award-number":["20113705120003","ZR2010FM022","ZR2010FM018"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>Many industrial processes and physical systems are spatially distributed systems. Recently, a novel 3\u2010D FLC was developed for such systems. The previous study on the 3\u2010D FLC was concentrated on an expert knowledge\u2010based approach. However, in most of situations, we may lack the expert knowledge, while input\u2010output data sets hidden with effective control laws are usually available. Under such circumstance, a data\u2010driven approach could be a very effective way to design the 3\u2010D FLC. In this study, we aim at developing a new 3\u2010D FLC design methodology based on clustering and support vector machine (SVM) regression. The design consists of three parts: initial rule generation, rule\u2010base simplification, and parameter learning. Firstly, the initial rules are extracted by a nearest neighborhood clustering algorithm with Frobenius norm as a distance. Secondly, the initial rule\u2010base is simplified by merging similar 3\u2010D fuzzy sets and similar 3\u2010D fuzzy rules based on similarity measure technique. Thirdly, the consequent parameters are learned by a linear SVM regression algorithm. Additionally, the universal approximation capability of the proposed 3\u2010D fuzzy system is discussed. Finally, the control of a catalytic packed\u2010bed reactor is taken as an application to demonstrate the effectiveness of the proposed 3\u2010D FLC design.<\/jats:p>","DOI":"10.1155\/2012\/841609","type":"journal-article","created":{"date-parts":[[2012,9,3]],"date-time":"2012-09-03T21:01:29Z","timestamp":1346706089000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Clustering and SVM Regression Learning\u2010Based Spatiotemporal Fuzzy Logic Controller with Interpretable Structure for Spatially Distributed Systems"],"prefix":"10.1155","volume":"2012","author":[{"given":"Xian-xia","family":"Zhang","sequence":"first","affiliation":[]},{"given":"Jun-da","family":"Qi","sequence":"additional","affiliation":[]},{"given":"Bai-li","family":"Su","sequence":"additional","affiliation":[]},{"given":"Shi-wei","family":"Ma","sequence":"additional","affiliation":[]},{"given":"Hong-bo","family":"Liu","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,9,3]]},"reference":[{"volume-title":"Advanced Process Control","year":"1981","author":"Ray W. 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