{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T15:12:41Z","timestamp":1648739561329},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[1997,8]]},"abstract":"<jats:p> In this paper we deal with the idempotency equation H(x,x)=x for all x\u2208[0,1]. In particular we solve it for two special cases. First when H is a convex linear combination of a strict t-norm and its (1-j)-dual and second, when H is a convex linear combination of a special kind of aggregation functions F=&lt;(f,N)&gt; and its N-dual, being these aggregation functions, called L-representable aggregation functions, a kind of functions verifying a similar representation theorem to the classical representation theorem for non strict Archimedean t-norms. <\/jats:p>","DOI":"10.1142\/s0218488597000300","type":"journal-article","created":{"date-parts":[[2003,10,22]],"date-time":"2003-10-22T01:39:04Z","timestamp":1066786744000},"page":"401-410","source":"Crossref","is-referenced-by-count":2,"title":["On Some Classes of Idempotent Operators"],"prefix":"10.1142","volume":"05","author":[{"given":"G.","family":"Mayor","sequence":"first","affiliation":[{"name":"Dpt. de Ci\u00e8ncies Matem\u00e0tiques i Inform\u00e0tica, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"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"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"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\/S0218488597000300","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T17:20:37Z","timestamp":1565198437000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488597000300"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,8]]},"references-count":0,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[1997,8]]}},"alternative-id":["10.1142\/S0218488597000300"],"URL":"https:\/\/doi.org\/10.1142\/s0218488597000300","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,8]]}}}