标题：Uni-nullnorms on bounded lattices
作者：Wang Y.-M.; Zhan H.; Liu H.-W.
作者机构：[Wang, Y.-M] School of Mathematics, Shandong University, Jinan, 250100, China;[ Zhan, H] School of Mathematics, Shandong University, Jinan, 250100, Ch 更多
通讯作者地址：[Liu, H.-W] School of Mathematics, Shandong UniversityChina;
来源：Fuzzy Sets and Systems
关键词：Bounded lattices; Nullnorms; Uni-nullnorms; Uninorms
摘要：In this paper, we study uni-nullnorms with both neutral elements and zero elements on bounded lattices. In order to illustrate the existence of uni-nullnorms on bounded lattices, we present two construction methods for obtaining such a uni-nullnorm. Also, we show two additional methods for the construction of idempotent nullnorms on bounded lattices, which are generalizations of the one proposed by Çaylı and Karaçal. Furthermore, we discuss the presence of idempotent uni-nullnorms on bounded lattices, and propose two construction methods to obtain an idempotent uni-nullnorm on any bounded lattice. © 2019 Elsevier B.V.