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Uninorms Having an Identity and an Annihilator on Bounded Lattices

Uninorms defined on bounded lattices are an important generalization of triangular norms and triangular conorms and these operators allow the identity to be any point in a bounded lattice. In this study, uninorms on bounded lattices are studied. It is proposed a method to characterize uninorms on bounded lattices having an identity and an annihilator on bounded lattices and some basic properties of such uninorms are investigated. Moreover, an example is provided to illustrate the feasibility of the proposed method.