On a class of binary operations: non-strict Archimedean aggregation functions

The concept of nonstrict Archimedean aggregation function appears in a natural form when the orthomodularity property for pairs of aggregation function-t-norm and aggregation function-t-conorm connectives is studied. A theorem for the unicity of generator of these functions is proved. By using this result, which is already known for Archimedean t-norms, this kind of aggregation functions can be manipulated very easily. This is particularly interesting when dealing with classes obtained from the isomorphism relation.<
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