The cross-migrative property for uninorms

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• 作者：Hang Zhan ; Hua-Wen Liu
• 关键词：Cross ; migrativity ; Fuzzy connective ; Uninorm ; t ; Norm ; t ; Conorm
• 刊名：Aequationes mathematicae
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：90
• 期：6
• 页码：1219-1239
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Analysis; Combinatorics;
• 出版者：Springer International Publishing
• ISSN：1420-8903
• 卷排序：90

文摘

This paper aims to study the cross-migrative property for uninorms. We only consider the most usual classes of uninorms as follows: uninorms in \({\mathcal{U}_{min}}\) and \({\mathcal{U}_{max}}\), representable uninorms, idempotent uninorms and uninorms continuous in the open unit square, and limit the research to those uninorms which have the same neutral element. This study shows that there is no cross-migrativity between representable uninorms and other classes of uninorms. The relationship is the same between conjunctive uninorms and disjunctive uninorms. We give the sufficient and necessary conditions for the cross-migrativity equation to hold for all of the other possible combinations of uninorms.