{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T07:25:08Z","timestamp":1648884308608},"reference-count":19,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2015,6]]},"abstract":"<jats:p> In this paper we generalize (U,N)-implications. First we introduce (U<jats:sub>S<\/jats:sub>, N)-operation by replacing the uninorm U with a semi-uninorm U<jats:sub>S<\/jats:sub> in the definition of a (U, N)-operation. Then the necessary and sufficient conditions that a (U<jats:sub>S<\/jats:sub>, N)-operation is a implication are given out. Furthermore, we characterize the (U<jats:sub>S<\/jats:sub>, N)-implications. Last we generalize the definition of rotation invariant and investigate the intersection between the residual implications and (U<jats:sub>S<\/jats:sub>,N)-implications derived from some semi-uninorms with the generalized rotation invariant. <\/jats:p>","DOI":"10.1142\/s0218488515500154","type":"journal-article","created":{"date-parts":[[2015,6,10]],"date-time":"2015-06-10T23:45:23Z","timestamp":1433979923000},"page":"367-377","source":"Crossref","is-referenced-by-count":0,"title":["Generalization of (<i>U,N<\/i>)-Implications"],"prefix":"10.1142","volume":"23","author":[{"given":"Zhen-Bo","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematics, Shandong University, Jinan, Shandong 250100, P. R. China"},{"name":"School of Statistics, Shandong University of Finance and Economics, Jinan, Shandong 250014, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yong","family":"Su","sequence":"additional","affiliation":[{"name":"School of Mathematics, Shandong University, Jinan, Shandong 250100, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hua-Wen","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics, Shandong University, Jinan, Shandong 250100, P. R. 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