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Article type: Research Article
Authors: Zhan, Hang | Liu, Hua-Wen*
Affiliations: School of Mathematics, Shandong University, Jinan, Shandong, P.R. China
Correspondence: [*] Corresponding author. Hua-Wen Liu, School of Mathematics, Shandong University, Jinan, Shandong 250100, P.R. China. Tel.: +86 531 88364652; Fax: +86 531 88365550; E-mail: [email protected].
Abstract: This paper aims to study the cross-migrative property for uninorms with different neutral elements. The cases for uninorms in Umin, Umax, representable uninorms, idempotent uninorms and uninorms continuous in the open unit square are studied, discussing cross-migrative property for all possible combinations of uninorms laying on these classes of uninorms. This study shows that there is no cross-migrativity between representable uninorms and other classes of uninorms, and the relation between conjunctive uninorms and disjunctive uninorms is also the same. The sufficient and necessary conditions such that cross-migrativity equation holds for all of the other possible combinations of uninorms are given out.
Keywords: Cross-Migrativity, fuzzy connective, uninorm, t-Norm, t-Conorm
DOI: 10.3233/JIFS-161206
Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 1877-1889, 2017
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