{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,21]],"date-time":"2026-05-21T21:20:07Z","timestamp":1779398407181,"version":"3.53.1"},"reference-count":31,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2011,2]]},"abstract":"<jats:p>Let [Formula: see text] and [Formula: see text] be, respectively, the classes of all copulas and quasi-copulas whose diagonal section is \u03b4. We determine under which conditions on \u03b4 we have: (a) both [Formula: see text] and [Formula: see text] consist of a singleton; (b) [Formula: see text]. Moreover, a simple construction of copulas with a given convex diagonal section is introduced.<\/jats:p>","DOI":"10.1142\/s0218488511006848","type":"journal-article","created":{"date-parts":[[2011,1,19]],"date-time":"2011-01-19T11:36:16Z","timestamp":1295436976000},"page":"1-10","source":"Crossref","is-referenced-by-count":15,"title":["ON THE CLASSES OF COPULAS AND QUASI-COPULAS WITH A GIVEN DIAGONAL SECTION"],"prefix":"10.1142","volume":"19","author":[{"given":"FABRIZIO","family":"DURANTE","sequence":"first","affiliation":[{"name":"Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, Linz, Austria"},{"name":"School of Economics and Management, Free University of Bozen-Bolzano, Bolzano, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"JUAN","family":"FERN\u00c1NDEZ-S\u00c1NCHEZ","sequence":"additional","affiliation":[{"name":"Grupo de Investigaci\u00f3n de An\u00e1lisis Matem\u00e1tico, Universidad de Almer\u00eda, La Ca\u00f1ada de San Urbano, Almer\u00eda, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","series-title":"Springer Series in Statistics","volume-title":"An introduction to copulas","author":"Nelsen R. B.","year":"2006"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-9540-7"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139644150"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/0167-7152(93)90001-Y"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1006\/jmva.1998.1809"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/j.crma.2005.09.026"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1201\/b13150"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1080\/03610920802050927"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488507004753"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.06.007"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1080\/03610920500498758"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.09.006"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/s00605-007-0460-x"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1016\/j.insmatheco.2006.11.011"},{"key":"rf17","first-page":"315","volume":"41","author":"Durante F.","journal-title":"Kybernetika (Prague)"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-5532-8_15"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-5532-8_16"},{"key":"rf20","first-page":"53","volume":"35","author":"Bertino S.","journal-title":"Italian Metron"},{"key":"rf21","doi-asserted-by":"crossref","unstructured":"G. A.\u00a0Fredricks and R. B.\u00a0Nelsen, Distributions with Given Marginals and Statistical Modelling, eds. C. M.\u00a0Cuadras, J.\u00a0Fortiana and J. A. Rodr\u00edguez\u00a0Lallena (Kluwer, Dordrecht, 2003)\u00a0pp. 81\u201391.","DOI":"10.1007\/978-94-017-0061-0_10"},{"key":"rf22","first-page":"757","volume":"44","author":"Jaworski P.","journal-title":"Kybernetika (Prague)"},{"key":"rf23","first-page":"221","volume":"43","author":"De Baets B.","journal-title":"Kybernetika (Prague)"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2007.09.001"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-005-0523-7"},{"key":"rf26","first-page":"1012","volume":"45","author":"Jwaid T.","journal-title":"Kybernetika (Prague)"},{"key":"rf27","first-page":"745","volume":"44","author":"Mayor G.","journal-title":"Kybernetika (Prague)"},{"key":"rf28","series-title":"Mathematics in Science and Engineering","volume-title":"Inequalities: theory of majorization and its applications","volume":"143","author":"Marshall A. W.","year":"1979"},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.04.006"},{"key":"rf30","doi-asserted-by":"publisher","DOI":"10.1080\/03610920802571203"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2006.890681"},{"key":"rf32","doi-asserted-by":"crossref","unstructured":"R. B.\u00a0Nelsen, Distributions with Given Marginals and Statistical Modelling, eds. C.\u00a0Cuadras, J.\u00a0Fortiana and J. Rodr\u00edguez\u00a0Lallena (Kluwer, Dordrecht, 2003)\u00a0pp. 187\u2013194.","DOI":"10.1007\/978-94-017-0061-0_20"},{"key":"rf34","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmva.2003.09.002"}],"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\/S0218488511006848","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,17]],"date-time":"2021-11-17T17:10:47Z","timestamp":1637169047000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488511006848"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,2]]},"references-count":31,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2011,2]]}},"alternative-id":["10.1142\/S0218488511006848"],"URL":"https:\/\/doi.org\/10.1142\/s0218488511006848","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,2]]}}}