{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,17]],"date-time":"2025-04-17T16:27:52Z","timestamp":1744907272046},"reference-count":5,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2003,10]]},"abstract":"<jats:p> An axiomatic approach to scalar cardinalities of finite fuzzy sets involving t-norms and t-conorms is presented. A characterization theorem for these cardinalities is proved and it is also proved that some standard properties remain true. On the other hand, properties like finite additivity, valuation property or finite subadditivity depend on the t-norm and the t-conorm. <\/jats:p>","DOI":"10.1142\/s0218488503002351","type":"journal-article","created":{"date-parts":[[2004,1,6]],"date-time":"2004-01-06T09:10:56Z","timestamp":1073380256000},"page":"599-614","source":"Crossref","is-referenced-by-count":15,"title":["SCALAR CARDINALITIES OF FINITE FUZZY SETS FOR t-NORMS  AND t-CONORMS"],"prefix":"10.1142","volume":"11","author":[{"given":"J.","family":"CASASNOVAS","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Balearic Islands, Crta. de Valldemossa, Km. 7.5, 07071 Palma de Mallorca, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"TORRENS","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Balearic Islands, Crta. de Valldemossa, Km. 7.5, 07071 Palma de Mallorca, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00413-2"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/9789812792563_0003"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-9540-7"},{"key":"rf4","volume-title":"Fuzzy sets and fuzzy logic. Theory and applications","author":"Klir G. J.","year":"1995"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/BF02189866"}],"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\/S0218488503002351","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:02:47Z","timestamp":1565146967000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488503002351"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,10]]},"references-count":5,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2003,10]]}},"alternative-id":["10.1142\/S0218488503002351"],"URL":"https:\/\/doi.org\/10.1142\/s0218488503002351","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,10]]}}}