{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,26]],"date-time":"2025-11-26T05:16:43Z","timestamp":1764134203790,"version":"3.46.0"},"reference-count":21,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2025,11,21]],"date-time":"2025-11-21T00:00:00Z","timestamp":1763683200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Nullnorms are aggregation functions with an annihilator and are generalizations of t-norms and t-conorms. After the introduction of the concept of nullnorms on bounded lattices by Kara\u00e7al et al., the studies on their construction methods in such structures have been initiated. Following the paper of Kara\u00e7al and \u015eanl\u0131, in which proposed element-based construction methods for t-norms and t-conorms on bounded lattices, a natural research question emerged: Are there any element-based construction methods for nullnorms on a bounded lattice L? In this paper, we address this question and propose construction methods for nullnorms with an annihilator element k\u2208L\u2216{0,1}, depending on an element \u03b7\u2208L\u2216{0,k,1}, by examining the relationship between \u03b7 and k. The proposed methods are compared with some existing approaches in the literature and are shown to be distinct. These theoretical findings are further supported with illustrative examples.<\/jats:p>","DOI":"10.3390\/axioms14120856","type":"journal-article","created":{"date-parts":[[2025,11,21]],"date-time":"2025-11-21T14:17:23Z","timestamp":1763734643000},"page":"856","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Element-Oriented Construction Methods for Nullnorms on Bounded Lattices"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0672-8134","authenticated-orcid":false,"given":"\u00dcmit","family":"Ertu\u011frul","sequence":"first","affiliation":[{"name":"Department of Mathematics, Karadeniz Technical University, Trabzon 61080, Turkey"}]},{"given":"Merve","family":"Ye\u015filyurt","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Karadeniz Technical University, Trabzon 61080, Turkey"}]},{"given":"Radko","family":"Mesiar","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, 810 05 Bratislava, Slovakia"},{"name":"CE IT4Innovations\u2014IRAFM, University of Ostrava, 701 03 Ostrava, Czech Republic"}]}],"member":"1968","published-online":{"date-parts":[[2025,11,21]]},"reference":[{"key":"ref_1","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 nullnorm","volume":"120","author":"Calvo","year":"2001","journal-title":"Fuzzy Sets Syst."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1142\/S0218488599000039","article-title":"t-operators","volume":"7","author":"Mas","year":"1999","journal-title":"Int. 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