{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T05:56:19Z","timestamp":1775541379482,"version":"3.50.1"},"reference-count":43,"publisher":"Wiley","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Fuzzy Systems"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>Adaptive neurofuzzy inference systems (ANFIS) represent an efficient technique for the solution of function approximation problems. When numerical samples are available in this regard, the synthesis of ANFIS networks can be carried out exploiting clustering algorithms. Starting from a hyperplane clustering synthesis in the joint input-output space, a computationally efficient optimization of ANFIS networks is proposed in this paper. It is based on a hierarchical constructive procedure, by which the number of rules is progressively increased and the optimal one is automatically determined on the basis of learning theory in order to maximize the generalization capability of the resulting ANFIS network. Extensive computer simulations prove the validity of the proposed algorithm and show a favorable comparison with other well-established techniques.<\/jats:p>","DOI":"10.1155\/2012\/491237","type":"journal-article","created":{"date-parts":[[2012,10,4]],"date-time":"2012-10-04T21:07:50Z","timestamp":1349384870000},"page":"1-12","source":"Crossref","is-referenced-by-count":25,"title":["A Hierarchical Procedure for the Synthesis of ANFIS Networks"],"prefix":"10.1155","volume":"2012","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9876-1494","authenticated-orcid":true,"given":"Massimo","family":"Panella","sequence":"first","affiliation":[{"name":"Department of Information Engineering, Electronics and Telecommunications (DIET), Sapienza University of Rome, via Eudossiana 18, 00184 Rome, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1109\/21.256541"},{"key":"2","year":"1997"},{"key":"3","year":"1999"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2004.839659"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1093\/bioinformatics\/btp123"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2007.12.009"},{"issue":"6","key":"9","first-page":"928","volume":"6","year":"2008","journal-title":"International Journal of Control, Automation and Systems"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.epsr.2007.10.007"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2008.928603"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1002\/cta.619"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRD.2006.875861"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2007.891067"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-71441-5_38"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-007-0245-0"},{"issue":"9","key":"22","first-page":"37","volume":"3","year":"2009","journal-title":"International Journal of Artificial Intelligence"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1007\/s10845-008-0215-0"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.mejo.2010.04.009"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1016\/j.jhydrol.2011.03.007"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1109\/91.236552"},{"issue":"1","key":"28","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1109\/TFUZZ.1993.390281","volume":"1","year":"1993","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"29","doi-asserted-by":"crossref","first-page":"267","DOI":"10.3233\/IFS-1994-2306","volume":"2","year":"1994","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1016\/0967-0661(96)00175-X"},{"issue":"3","key":"31","doi-asserted-by":"crossref","first-page":"328","DOI":"10.1109\/91.618271","volume":"5","year":"1997","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"4","key":"32","doi-asserted-by":"crossref","first-page":"596","DOI":"10.1109\/91.728458","volume":"6","year":"1998","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"3","key":"33","doi-asserted-by":"crossref","first-page":"346","DOI":"10.1109\/91.705501","volume":"6","year":"1998","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"34","doi-asserted-by":"publisher","DOI":"10.1109\/91.928739"},{"key":"35","doi-asserted-by":"publisher","DOI":"10.1109\/72.159066"},{"key":"36","year":"1981"},{"key":"37","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2006.168"},{"issue":"11","key":"38","doi-asserted-by":"crossref","first-page":"2210","DOI":"10.1109\/5.726788","volume":"86","year":"1998","journal-title":"Proceedings of the IEEE"},{"key":"39","doi-asserted-by":"publisher","DOI":"10.1109\/91.971730"},{"key":"40","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-2312(03)00392-8"},{"key":"41","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(97)00133-0"},{"issue":"9","key":"42","doi-asserted-by":"crossref","first-page":"2109","DOI":"10.1162\/089976600300015088","volume":"12","year":"2000","journal-title":"Neural Computation"},{"key":"43","doi-asserted-by":"publisher","DOI":"10.1109\/91.824763"},{"key":"44","doi-asserted-by":"publisher","DOI":"10.1109\/72.80341"},{"key":"45","year":"1993"},{"issue":"6","key":"46","doi-asserted-by":"crossref","first-page":"1351","DOI":"10.1109\/72.548164","volume":"7","year":"1996","journal-title":"IEEE Transactions on Neural Networks"},{"key":"47","volume-title":"Learning internal representations by error propagation","volume":"1","year":"1986"},{"key":"48","doi-asserted-by":"publisher","DOI":"10.1109\/21.364864"},{"key":"50","year":"1984"},{"key":"52","doi-asserted-by":"publisher","DOI":"10.1016\/j.bspc.2010.09.006"},{"key":"53","year":"1996"}],"container-title":["Advances in Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2012\/491237.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2012\/491237.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2012\/491237.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,14]],"date-time":"2020-07-14T13:08:49Z","timestamp":1594732129000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/afs\/2012\/491237\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":43,"alternative-id":["491237","491237"],"URL":"https:\/\/doi.org\/10.1155\/2012\/491237","relation":{},"ISSN":["1687-7101","1687-711X"],"issn-type":[{"value":"1687-7101","type":"print"},{"value":"1687-711X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}