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Keywords:
bounded lattice; closure operator; uninorm; interior operator; T-norm; T-conorm
bounded lattice; closure operator; uninorm; interior operator; T-norm; T-conorm
Summary:
Uninorms on bounded lattices have been recently a remarkable field of inquiry. In the present study, we introduce two novel construction approaches for uninorms on bounded lattices with a neutral element, where some necessary and sufficient conditions are required. These constructions exploit a t-norm and a closure operator, or a t-conorm and an interior operator on a bounded lattice. Some illustrative examples are also included to help comprehend the newly added classes of uninorms.
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