In this paper, the concept of U-compatible congruence and its related properties are studied. We also focus on homomorphism theorems for uninorms. Decomposition of uninorms is investigated via factor congruences, at first. ...

In this paper, two construction methods have been proposed for uni-nullnorms on any bounded lattices. the difference between these two construction methods and the difference from the existing construction methods have ...

In this paper, a construction method on a bounded lattice obtained from a given t-norm on a subinterval of the bounded lattice is presented. the supremum distributivity of the constructed t-norm by the mentioned method is ...

In this paper, we introduce the notions of the linear and generalized convex combination (shortly, g-convex combination) for triangular norms on bounded lattices. We investigate the conditions for the g-convex combination ...

In this paper, some construction methods for implications on bounded lattices are introduced and the preserved properties such as the neutrality property, the identity principle and the ordering property are investigated. ...

In this paper, an order induced by uninorms on bounded lattices is given and discussed. By defining such an order, the T-partial order is extended to a more general form. the relationship between the order induced by the ...

In this paper, an equivalence on the class of uninorms on a bounded lattice is discussed. Some relationships between the equivalence classes of uninorms and the equivalence classes of their underlying t-norms and t-conorms ...