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Syst."],"published-print":{"date-parts":[[2023,8]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The paper performs the center-of-sets (COS) type-reduction (TR)  and de-fuzzification for Takagi\u2013Sugeno\u2013Kang (TSK) type general type-2 fuzzy logic systems (GT2 FLSs) on the basis of the <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\alpha$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03b1<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>-planes expression of general type-2 fuzzy sets. Actually, comparing the popular Karnik\u2013Mendel (KM) algorithms with other non-iterative algorithms is an important question in T2 society. Here the modules of fuzzy inference, COS TR, and de-fuzzification for TSK type GT2 FLSs are discussed by means of non-iterative Nagar\u2013Bardini (NB) algorithms, Nie\u2013Tan (NT) algorithms, and Begian\u2013Melek\u2013Mendel (BMM) algorithms. Simulation instances are constructed to illustrate the performances of three types of non-iterative algorithms compared with the KM algorithms. It is proved that, the proposed non-iterative algorithms can enhance the computational efficiencies significantly, which afford the potential application value for designers of GT2 FLSs.<\/jats:p>","DOI":"10.1007\/s40747-022-00927-y","type":"journal-article","created":{"date-parts":[[2022,12,19]],"date-time":"2022-12-19T05:02:40Z","timestamp":1671426160000},"page":"4015-4023","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Study on non-iterative algorithms for center-of-sets type-reduction of Takagi\u2013Sugeno\u2013Kang type general type-2 fuzzy logic systems"],"prefix":"10.1007","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0071-9480","authenticated-orcid":false,"given":"Yang","family":"Chen","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,12,19]]},"reference":[{"issue":"23","key":"927_CR1","doi-asserted-by":"crossref","first-page":"5378","DOI":"10.1016\/j.ins.2007.07.012","volume":"177","author":"DR Wu","year":"2007","unstructured":"Wu DR, Mendel JM (2007) Uncertainty measures for interval type-2 fuzzy sets. 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