{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T04:14:09Z","timestamp":1759032849126},"reference-count":30,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2012,2]]},"abstract":"<jats:p> A new class of fuzzy implications, called (g, min )-implications, is introduced by means of the additive generators of continuous Archimedean t-conorms, called g-generators. Basic properties of these implications are discussed. It is shown that the (g, min )-implications are really a new class different from the known ( S , N )-, R -, QL - and Yager's f- and g-implications. Generalizations of three classical logic tautologies with implications, viz. law of importation, contraction law and distributivity over triangular norms ( t -norms) and triangular conorms ( t -conorms) are investigated. A series of necessary and sufficient conditions are proposed, under which the corresponding functional equations are satisfied. <\/jats:p>","DOI":"10.1142\/s0218488512500018","type":"journal-article","created":{"date-parts":[[2012,2,6]],"date-time":"2012-02-06T06:56:49Z","timestamp":1328511409000},"page":"1-20","source":"Crossref","is-referenced-by-count":20,"title":["ON A NEW CLASS OF IMPLICATIONS: (g,<font>min<\/font>)-IMPLICATIONS AND SEVERAL CLASSICAL TAUTOLOGIES"],"prefix":"10.1142","volume":"20","author":[{"given":"HUA-WEN","family":"LIU","sequence":"first","affiliation":[{"name":"School of Mathematics, Shandong University, Jinan, Shandong 250100, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,4,30]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2007.896304"},{"key":"rf2","volume-title":"Fuzzy Implications, Studies in Fuzziness and Soft Computing","volume":"231","author":"Baczy\u0144ski M.","year":"2008"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(91)90050-Z"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-1648-2"},{"key":"rf6","volume-title":"A Treatise on Many-Valued Logics","author":"Gottwald S.","year":"2001"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2009.10.022"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/0888-613X(87)90023-5"},{"key":"rf9","unstructured":"E.\u00a0Trillas and L.\u00a0Valverde, Management Decision Support Systems Using Fuzzy Sets and Possibility Theory (Verlag TUV, Rhineland, 1985)\u00a0pp. 198\u2013212."},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/s00009-007-0122-1"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2010.02.001"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2010.06.023"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2008.11.001"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/s005000050057"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2007.05.007"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2006.08.008"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2008.05.015"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.01.030"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2003.04.001"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2007.895969"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.08.028"},{"key":"rf22","first-page":"157","volume":"43","author":"Baczy\u0144ski M.","journal-title":"Kybernetika"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2007.01.026"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2010.01.023"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.08.006"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1109\/91.983281"},{"key":"rf32","first-page":"319","volume":"42","author":"Ruiz-Aguilera D.","journal-title":"Kybernetika"},{"key":"rf33","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2004.825075"},{"key":"rf34","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-9540-7"},{"key":"rf35","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2008.04.012"},{"key":"rf36","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2008.09.021"}],"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\/S0218488512500018","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T12:27:23Z","timestamp":1565094443000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488512500018"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,2]]},"references-count":30,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2012,4,30]]},"published-print":{"date-parts":[[2012,2]]}},"alternative-id":["10.1142\/S0218488512500018"],"URL":"https:\/\/doi.org\/10.1142\/s0218488512500018","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,2]]}}}