{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,10]],"date-time":"2024-09-10T09:52:42Z","timestamp":1725961962477},"reference-count":10,"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":[[1999,2]]},"abstract":" This paper looks over a class of operators introduced in ([2]), called t\u2013operators. Introduced in order to be applied to fuzzy preorders, their properties lead them to be also appropriate in some fields like aggregation problems and expert systems. We characterize these operators as a special combination of a t-norm and a t-conorm on [0, 1] in a similar way of uninorms in ([5]). We study duality and self duality on t\u2013operators with respect to a strong negation N. We also give a classification of continuous t\u2013operators through ordinal sums. Finally, we obtain from some t\u2013operators (those idempotent) a special kind of E.A.F. by extending them to E=\u222an\u22651<\/jats:sub>[0,1]n<\/jats:sup>. <\/jats:p>","DOI":"10.1142\/s0218488599000039","type":"journal-article","created":{"date-parts":[[2003,4,22]],"date-time":"2003-04-22T07:43:29Z","timestamp":1050997409000},"page":"31-50","source":"Crossref","is-referenced-by-count":165,"title":["t\u2013OPERATORS"],"prefix":"10.1142","volume":"07","author":[{"given":"M.","family":"MAS","sequence":"first","affiliation":[{"name":"Dpt. de Ci\u00e8ncies Matem\u00e0tiques i Inform\u00e0tica, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain"}]},{"given":"G.","family":"MAYOR","sequence":"additional","affiliation":[{"name":"Dpt. de Ci\u00e8ncies Matem\u00e0tiques i Inform\u00e0tica, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain"}]},{"given":"J.","family":"TORRENS","sequence":"additional","affiliation":[{"name":"Dpt. de Ci\u00e8ncies Matem\u00e0tiques i Inform\u00e0tica, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(83)90216-0"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(85)90027-1"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488597000312"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488596000081"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1002\/int.4550080703"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(92)90061-8"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.28.12.535"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(93)90518-M"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(95)00133-6"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1109\/21.87068"}],"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\/S0218488599000039","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T23:02:42Z","timestamp":1565132562000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488599000039"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,2]]},"references-count":10,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[1999,2]]}},"alternative-id":["10.1142\/S0218488599000039"],"URL":"https:\/\/doi.org\/10.1142\/s0218488599000039","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,2]]}}}