{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,22]],"date-time":"2024-04-22T09:10:43Z","timestamp":1713777043383},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2015,12]]},"abstract":" In this paper, we firstly introduce two new classes of fuzzy implications generated from one-variable functions, called [Formula: see text]- and [Formula: see text]-implications, respectively. Then we give a series of necessary and sufficient conditions that these implications satisfy: left neutrality property, identity principle, ordering principle, law of contraposition, modus ponens and modus tollens, respectively. We also discuss the relations between [Formula: see text]- implication ([Formula: see text]-implications, respectively) and other known classes of fuzzy implications. <\/jats:p>","DOI":"10.1142\/s0218488515500427","type":"journal-article","created":{"date-parts":[[2015,12,30]],"date-time":"2015-12-30T22:41:01Z","timestamp":1451515261000},"page":"927-947","source":"Crossref","is-referenced-by-count":4,"title":["Generating Implications from One-Variable Functions"],"prefix":"10.1142","volume":"23","author":[{"given":"Yong","family":"Su","sequence":"first","affiliation":[{"name":"School of Mathematics, Shandong University, Jinan, Shandong 250100, China"}]},{"given":"Aifang","family":"Xie","sequence":"additional","affiliation":[{"name":"School of Mathematics, Shandong University, Jinan, Shandong 250100, China"}]},{"given":"Hua-Wen","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics, Shandong University, Jinan, Shandong 250100, China"}]}],"member":"219","published-online":{"date-parts":[[2015,12,30]]},"reference":[{"key":"p_1","first-page":"157","volume":"43","author":"Baczy\u0144ski M.","year":"2007","journal-title":"Kybernetika"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2007.02.010"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2007.11.015"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2008.09.021"},{"key":"p_6","first-page":"25","volume":"16","author":"Biba V.","year":"2010","journal-title":"Ser. Math."},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2006.03.015"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.08.006"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488512500018"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2012.11.022"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2012.2222892"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2007.896304"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.01.030"},{"key":"p_18","first-page":"8","volume":"50","author":"Smutn\u00e1 D.","year":"1999","journal-title":"Journal of Electrical Engineering"},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1098-111X(200007)15:7<647::AID-INT5>3.0.CO;2-T"},{"key":"p_21","first-page":"259","volume":"98","author":"Trillas E.","year":"2004","journal-title":"Revista de la Real Academia de Ciencias Serie A. Matem\u00e1ticas"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2012.08.005"},{"key":"p_23","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2003.04.001"},{"key":"p_24","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2013.04.008"}],"container-title":["International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218488515500427","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T15:12:46Z","timestamp":1565104366000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488515500427"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,12]]},"references-count":18,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2015,12,30]]},"published-print":{"date-parts":[[2015,12]]}},"alternative-id":["10.1142\/S0218488515500427"],"URL":"https:\/\/doi.org\/10.1142\/s0218488515500427","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,12]]}}}