{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,27]],"date-time":"2026-01-27T11:41:29Z","timestamp":1769514089158,"version":"3.49.0"},"reference-count":10,"publisher":"Oxford University Press (OUP)","issue":"1","license":[{"start":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T00:00:00Z","timestamp":1765152000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2026,1,27]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>Recently, Zong et\u00a0al. demonstrated that a t-norm is an additively generated cancellative t-norm if and only if the fully ordered semigroup induced by it can be order-embedded into the multiplicative semigroup of the unit real interval. In the present study, we put forward several criteria for determining whether a t-norm is an additively generated cancellative one.<\/jats:p>","DOI":"10.1093\/jigpal\/jzaf087","type":"journal-article","created":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T13:00:12Z","timestamp":1762952412000},"source":"Crossref","is-referenced-by-count":0,"title":["Criteria for determining whether a t-norm is an additively generated cancellative one"],"prefix":"10.1093","volume":"34","author":[{"given":"Yong","family":"Su","sequence":"first","affiliation":[{"name":"School of Mathematical Science, Suzhou University of Science and Technology , Suzhou, Jiangsu 215009, China"}]},{"given":"Wenwen","family":"Zong","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, University of Jinan , Jinan, 250022, China"}]},{"given":"Radko","family":"Mesiar","sequence":"additional","affiliation":[{"name":"Department of Algebra and Geometry, Faculty of Sci. UP Olomouc , 17. listopadu 12, Olomouc, Czech Republic and Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, 81005 Bratislava, Slovakia"}]}],"member":"286","published-online":{"date-parts":[[2025,12,8]]},"reference":[{"key":"2026012619024346600_ref1","first-page":"569","article-title":"On ordered semigroups","volume":"14","author":"Alimov","year":"1950","journal-title":"Izv Akad Nauk SSSR Ser Mat"},{"key":"2026012619024346600_ref2","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-1648-2","volume-title":"Fuzzy Preference Modeling and Multicriteria Decision Support","author":"Fodor","year":"1994"},{"key":"2026012619024346600_ref3","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1007\/BF02066688","article-title":"Note on fully ordered semigroups","volume":"12","author":"Fuchs","year":"1961","journal-title":"Acta Math Acad Sci Hung"},{"key":"2026012619024346600_ref4","volume-title":"Partially Ordered Algebraic Systems","author":"Fuchs","year":"1963"},{"key":"2026012619024346600_ref5","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-9540-7","volume-title":"Triangular Norms","author":"Klement","year":"2000"},{"key":"2026012619024346600_ref6","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1016\/j.fss.2003.06.007","article-title":"Triangular norms. 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