{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,6]],"date-time":"2026-01-06T02:20:40Z","timestamp":1767666040649},"reference-count":50,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"4","license":[{"start":{"date-parts":[[2011,8,1]],"date-time":"2011-08-01T00:00:00Z","timestamp":1312156800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Fuzzy Syst."],"published-print":{"date-parts":[[2011,8]]},"DOI":"10.1109\/tfuzz.2011.2130528","type":"journal-article","created":{"date-parts":[[2011,3,22]],"date-time":"2011-03-22T15:31:21Z","timestamp":1300807881000},"page":"652-665","source":"Crossref","is-referenced-by-count":78,"title":["Connect Karnik-Mendel Algorithms to Root-Finding for Computing the Centroid of an Interval Type-2 Fuzzy Set"],"prefix":"10.1109","volume":"19","author":[{"family":"Xinwang Liu","sequence":"first","affiliation":[]},{"given":"J. M.","family":"Mendel","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","author":"phillips","year":"1996","journal-title":"Theory and Applications of Numerical Analysis"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2007.902025"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1002\/9780470599655"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2009.2024411"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2006.882463"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/91.995115"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1002\/int.20378"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.03.003"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2006.881441"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2008.2005691"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.05.008"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/MCI.2007.380672"},{"key":"ref29","year":"0"},{"key":"ref2","year":"0"},{"key":"ref1","year":"0"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TFUZZ.2007.896229","article-title":"Aggregation using the fuzzy weighted average as computed by the Karnik–Mendel algorithms","volume":"16","author":"liu","year":"2008","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.12.028"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.07.042"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2010.05.023"},{"key":"ref23","author":"mathews","year":"2004","journal-title":"Numerical Methods Using MATLAB"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.05.003"},{"key":"ref25","author":"mendel","year":"2001","journal-title":"Uncertain Rule-Based Fuzzy Logic Systems Introduction and New Directions"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2002.803496"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/MCI.2007.357192"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2009.03.001"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2006.889758"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2004.832538"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1587\/elex.7.1423"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/MCI.2007.357194"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2010.2046904"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0255(01)00069-X"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2010.2042454"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2008.2005002"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2007.11.014"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2010.2046176"},{"key":"ref3","year":"0"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2007.02.021"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2010.04.005"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"802","DOI":"10.1109\/TFUZZ.2010.2049022","article-title":"Derivation and analysis of the analytical structures of the interval type-2 fuzzy-PI and PD controllers","volume":"18","author":"du","year":"2010","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2009.2032652"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2008.924345"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.07.011"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2007.07.012"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2007.896325"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2008.924329"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.12.010"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1080\/0020739950260202"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2005.02.014"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2010.2043439"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2010.2045386"}],"container-title":["IEEE Transactions on Fuzzy Systems"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/91\/5970281\/05735205.pdf?arnumber=5735205","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,10]],"date-time":"2021-10-10T23:47:58Z","timestamp":1633909678000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5735205\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,8]]},"references-count":50,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.1109\/tfuzz.2011.2130528","relation":{},"ISSN":["1063-6706","1941-0034"],"issn-type":[{"value":"1063-6706","type":"print"},{"value":"1941-0034","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,8]]}}}