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Modularity condition between disjunctive (resp. conjunctive) uni-nullnorms and some most studied classes of binary aggregation operators (i.e., t-norms, t-conorms, uninorms and semi-t-operators) are discussed. Both positive and negative results of modularity condition for uni-nullnorms are obtained. Since uni-nullnorms are an extension of nullnorms and uninorms, previous results about modularity condition for nullnorms and uninorms in [Formula: see text] and [Formula: see text] can be obtained as simple corollaries. <\/jats:p>","DOI":"10.1142\/s0218488523500137","type":"journal-article","created":{"date-parts":[[2023,4,12]],"date-time":"2023-04-12T09:46:16Z","timestamp":1681292776000},"page":"221-252","source":"Crossref","is-referenced-by-count":1,"title":["The Modularity Condition for Uni-Nullnorms"],"prefix":"10.1142","volume":"31","author":[{"given":"Bo Wen","family":"Fang","sequence":"first","affiliation":[{"name":"School of Science, Wuhan University of Technology, Wuhan 430070, P R China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2023,4,12]]},"reference":[{"key":"S0218488523500137BIB001","volume-title":"Lectures on Functional Equations and Their Applications","author":"Acz\u00e9l J.","year":"1966"},{"key":"S0218488523500137BIB002","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1142\/S0218488596000202","volume":"4","author":"Carbonell M.","year":"1996","journal-title":"Int. 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