{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:21:13Z","timestamp":1777702873738,"version":"3.51.4"},"reference-count":26,"publisher":"SAGE Publications","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2019,3,26]]},"DOI":"10.3233\/jifs-181702","type":"journal-article","created":{"date-parts":[[2019,1,4]],"date-time":"2019-01-04T10:34:50Z","timestamp":1546598090000},"page":"2773-2785","source":"Crossref","is-referenced-by-count":8,"title":["Conditional distributivity for uni-nullnorms with continuous and Archimedean underlying t-norms and t-conorms"],"prefix":"10.1177","volume":"36","author":[{"given":"Gang","family":"Wang","sequence":"first","affiliation":[{"name":"College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Feng","family":"Qin","sequence":"additional","affiliation":[{"name":"College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wen-Huang","family":"Li","sequence":"additional","affiliation":[{"name":"College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-181702_ref1","unstructured":"Acz\u00e9l J. Lectures on Functional Equations and Their Applications, Kluwer Academic Publishers (1996)."},{"key":"10.3233\/JIFS-181702_ref2","doi-asserted-by":"crossref","first-page":"1631","DOI":"10.1016\/j.fss.2007.02.015","article-title":"Structure of n-uninorms","volume":"158","author":"Akella","year":"2007","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref3","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/j.fss.2003.10.034","article-title":"On the distributivity between t-norms and t-conorms","volume":"142","author":"Bertoluzza","year":"2004","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref4","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1016\/S0165-0114(99)00125-6","article-title":"The functional equations of Frank and Alsina for uninorms and nullnorms","volume":"120","author":"Calvo","year":"2001","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref5","doi-asserted-by":"crossref","first-page":"1646","DOI":"10.1016\/j.fss.2007.09.015","article-title":"Distributivity between uninorms and nullnorms","volume":"159","author":"Drewniak","year":"2008","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref6","first-page":"103","article-title":"The distributivity between semi-toperators and uninorms","author":"Qin","year":"2015","journal-title":"Proceedings of the 8th International Summer School on Aggregation Operators AGOP University of Silesia, Katowice"},{"issue":"4","key":"10.3233\/JIFS-181702_ref7","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1142\/S0218488597000312","article-title":"Structure of uninorms","volume":"5","author":"Fodor","year":"1997","journal-title":"Internat. J. Uncertainty Fuzz. Knowledge-Based Syst"},{"key":"10.3233\/JIFS-181702_ref8","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/j.fss.2011.12.001","article-title":"A single-point characterization of representable uninorms","volume":"202","author":"Fodor","year":"2012","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref9","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/j.fss.2012.12.008","article-title":"Restricted distributivity for aggregation operators with absorbing element","volume":"224","author":"Jo\u010di\u0107","year":"2013","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref10","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.fss.2015.06.003","article-title":"Some implications of the restricted distributivity of aggregation operators with absorbing elements for utility theory","volume":"291","author":"Jo\u010di\u0107","year":"2016","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref11","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/j.ins.2017.09.065","article-title":"Distributivity and conditional distributivity for T-uninorms","volume":"424","author":"Jo\u010di\u0107","year":"2018","journal-title":"Inform. Sci"},{"key":"10.3233\/JIFS-181702_ref12","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1016\/j.fss.2017.03.020","article-title":"On the conditional distributivity of continuous semi-t-operators over uninorms","volume":"334","author":"Jo\u010di\u0107","year":"2018","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref13","doi-asserted-by":"crossref","unstructured":"Klement E.P. , Mesiar R. , Pap E. , Triangular Norms, Kluwer Academic Publishers, (2000).","DOI":"10.1007\/978-94-015-9540-7"},{"key":"10.3233\/JIFS-181702_ref14","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1016\/j.fss.2015.01.019","article-title":"Distributivity and conditional distributivity of uninorm with continuous underlyng operatos over a continuous t-conorm","volume":"287","author":"Li","year":"2016","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref15","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/j.ins.2015.04.040","article-title":"On the conditional distributivity of nullnorms and uninorms","volume":"317","author":"Li","year":"2015","journal-title":"Inf. Sci"},{"key":"10.3233\/JIFS-181702_ref16","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/j.fss.2014.07.025","article-title":"Distributivity and conditional distributivity of semiuninorms over continuous t-conorms and t-norms","volume":"268","author":"Liu","year":"2015","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref17","doi-asserted-by":"crossref","first-page":"446","DOI":"10.1016\/j.fss.2005.04.010","article-title":"The distributive equations for idempotent uninorms and nullnorms","volume":"155","author":"Qin","year":"2005","journal-title":"Fuzzy Sets Syst"},{"issue":"7","key":"10.3233\/JIFS-181702_ref18","first-page":"35","article-title":"Distributivity between uninorms","volume":"57","author":"Rak","year":"2006","journal-title":"Journal of Electrical Engineering"},{"key":"10.3233\/JIFS-181702_ref19","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1016\/j.fss.2013.08.004","article-title":"The distributivity property of increasing binary operations","volume":"232","author":"Rak","year":"2013","journal-title":"Fuzzy Sets Syst"},{"issue":"2","key":"10.3233\/JIFS-181702_ref20","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1109\/TFUZZ.2005.864087","article-title":"Distributivity and conditional distributivity of auninorm and a continuous t-conorm","volume":"14","author":"Ruiz","year":"2006","journal-title":"IEEE Trans. Fuzzy Syst"},{"issue":"1","key":"10.3233\/JIFS-181702_ref21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.fss.2016.11.015","article-title":"The distributivity equation for uninorms revisited","volume":"334","author":"Su","year":"2018","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref22","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.fss.2015.08.001","article-title":"On distributivity equations for uninorms over semi-t-operators","volume":"299","author":"Su","year":"2016","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref23","doi-asserted-by":"crossref","first-page":"1969","DOI":"10.3233\/JIFS-161495","article-title":"Uni-nullnorms and null-uninorms","volume":"32","author":"Sun","year":"2017","journal-title":"J.Intell. Fuzzy Syst"},{"key":"10.3233\/JIFS-181702_ref24","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/j.fss.2017.03.001","article-title":"Characterizations of uninullnorms with continuously Archimedean underlying t-norms and t-conorms","volume":"334","author":"Sun","year":"2018","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref25","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1016\/j.fss.2012.05.008","article-title":"On the distributivity of uninorms over nullnorms","volume":"211","author":"Xie","year":"2013","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-181702_ref26","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/0165-0114(95)00133-6","article-title":"Uninorm aggregation operators","volume":"80","author":"Yager","year":"1996","journal-title":"Fuzzy Sets Syst"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-181702","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:37:02Z","timestamp":1777455422000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-181702"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,3,26]]},"references-count":26,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.3233\/jifs-181702","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,3,26]]}}}