{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,3,8]],"date-time":"2024-03-08T00:58:10Z","timestamp":1709859490710},"reference-count":27,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2017,4]]},"abstract":" This paper is mainly devoted to solving the distributivity equations for 2-uninorms over semi-uninorms. Our investigations are motivated by the couple of distributive logical connectives and their generalizations, such as t-norms, t-conorms, uninorms, nullnorms, and fuzzy implications, which are often used in fuzzy set theory. Recently, there are their two generalizations. One is a 2-uninorm covering both a uninorm and a nullnorm, which forms a class of commutative, associative and increasing operators on the unit interval with an absorbing element separating two subintervals having their own neutral elements. The other is a semi-uninorm, which generalizes a uninorm by omitting commutativity and associativity. In this work, all possible solutions of the distributivity equation for the three defined subclasses of 2-uninorms over semi-uninorms are characterized. <\/jats:p>","DOI":"10.1142\/s0218488517500131","type":"journal-article","created":{"date-parts":[[2017,4,5]],"date-time":"2017-04-05T04:20:26Z","timestamp":1491366026000},"page":"317-345","source":"Crossref","is-referenced-by-count":8,"title":["Distributivity for 2-Uninorms Over Semi-Uninorms"],"prefix":"10.1142","volume":"25","author":[{"given":"Ya-Ming","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematics, Shandong University, 250100 Jinan, P. R. 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