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“…t-conorm S) if e = 1 L (resp. e = 0 L ) (for more information about t-norms and t-conorms, see, e. g., [1,11,13,35,40,45] [36]) Let U be a uninorm on L with a neutral element e ∈ L\{0 L , 1 L }. Then, the following statements hold:…”
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.
“…t-conorm S) if e = 1 L (resp. e = 0 L ) (for more information about t-norms and t-conorms, see, e. g., [1,11,13,35,40,45] [36]) Let U be a uninorm on L with a neutral element e ∈ L\{0 L , 1 L }. Then, the following statements hold:…”
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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