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Each representable wn-semiuninorm is Archimidean but not strictly monotone, and its additive generator is unique up to a positive multiplicative constant under some conditions. In the discussion about the representable wn-semiuninorms, we also characterize the solutions to a class of Cauchy functional equations on a restricted domain. <\/jats:p>","DOI":"10.1142\/s021848851750012x","type":"journal-article","created":{"date-parts":[[2017,4,5]],"date-time":"2017-04-05T08:20:26Z","timestamp":1491380426000},"page":"301-316","source":"Crossref","is-referenced-by-count":1,"title":["An Extension of Semiuninorms: Weak-Neutral Semiuninorms"],"prefix":"10.1142","volume":"25","author":[{"given":"Hua-Wen","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematics, Shandong University, Jinan, Shandong 250100, China"}]},{"given":"Feng","family":"Qin","sequence":"additional","affiliation":[{"name":"College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China"}]}],"member":"219","published-online":{"date-parts":[[2017,4,5]]},"reference":[{"key":"p_3","first-page":"157","volume":"43","author":"Baczy\u0144ski M.","year":"2007","journal-title":"Kybernetika"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(84)90072-1"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2007.09.015"},{"key":"p_6","first-page":"315","volume":"41","author":"Durante F.","year":"2005","journal-title":"Kybernetika"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1007\/s005000050057"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00265-6"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(82)90227-2"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(91)90259-S"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488597000312"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-007-0047-1"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00252-8"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0255(99)00137-1"},{"key":"p_19","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2011.08.010"},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2014.07.025"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1016\/j.inffus.2014.06.003"},{"key":"p_23","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2003.10.033"},{"key":"p_24","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2010.05.006"},{"key":"p_25","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488501000909"},{"key":"p_26","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2003.11.002"},{"key":"p_27","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2005.11.014"},{"issue":"15","key":"p_28","first-page":"153","volume":"193","author":"Ouyang Y.","journal-title":"Inf. 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