标题：A note on uninorms with continuous underlying operators
作者：Li W.-H.; Qin F.; Zhao Y.-Y.
作者机构：[Li, W.-H] College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022, China;[ Qin, F] College of Mathematics and Inf 更多
通讯作者地址：[Qin, F] College of Mathematics and Information Science, Jiangxi Normal UniversityChina;
来源：Fuzzy Sets and Systems
关键词：Fuzzy connectives and aggregation functions; Inner structure; T-conorms; T-norms; Uninorms
摘要：Our investigations are motivated by the fact uninorms as mixed aggregation operations on the unit interval have been widely used in fuzzy set theory. This paper is mainly to characterize the inner structure of uninorms with continuous underlying operators given by ordinal sums, and then presents some of their properties. To be specific, for a uninorm, we describe the relations of its two arbitrary summands and characterize the structure on Cartesian products of its underlying intervals corresponding to those two summands mentioned previously (one in [0,e] and the other in [e,1], where e is the neutral element of the uninorm). These results bring us a step closer to get the full structure of a uninorm with continuous underlying operators. © 2019 Elsevier B.V.