6 papers
Representation theorems for four classes of uninorms on bounded trellises
Zhenyu Xiu
In this paper, we establish necessary and sufficient representation theorems for the classes , , $\w…
A complete representation theorem for nullnorms on bounded trellises
Zhenyu Xiu
We establish necessary and sufficient conditions under which a binary operation on a bounded trellis is a proper nullnorm. The representation combines a t-conorm on the lower inter…
New construction methods for uninorms via functions with q and uninorms on bounded lattices
Zhen-Yu Xiu, Zheng-Yuan Si, Xu Zheng
In this paper, we study the construction methods for uninorms on bounded lattices via functions with the given uninorms and (or ). Specif…
Some further construction methods for uninorms via uninorms
Zhenyu Xiu, Xu Zheng
In this paper, we further investigate new construction methods for uninorms on bounded lattices via given uninorms. More specifically, we first construct new uninorms on arbitrary…
New structures for uninorms on bounded lattices
Z. -Y. Xiu, Y. -X. Jiang
In this article, we study new methods for constructing uninorms on bounded lattices. First, we present new methods for constructing uninorms on bounded lattices under the additiona…
-fuzzy convex structures
Fu-Gui Shi, Zhen-Yu Xiu
In this paper, the notion of -fuzzy convex structures is introduced. It is a generalization of -convex structures and -fuzzifying convex structures. In our definition…