On triangular norms and uninorms definable in Ł Π12
International Journal of Approximate Reasoning
Rule reduction for efficient inferencing in similarity based reasoning
International Journal of Approximate Reasoning
IEEE Transactions on Fuzzy Systems
A characterization of residual implications derived from left-continuous uninorms
Information Sciences: an International Journal
A single-point characterization of representable uninorms
Fuzzy Sets and Systems
On the distributivity of uninorms over nullnorms
Fuzzy Sets and Systems
Restricted distributivity for aggregation operators with absorbing element
Fuzzy Sets and Systems
An extension of the migrative property for uninorms
Information Sciences: an International Journal
On a certain class of aggregative operators
Information Sciences: an International Journal
Distributivity equations and Mayor's aggregation operators
Knowledge-Based Systems
A class of implications related to Yager's f-implications
Information Sciences: an International Journal
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The open problem recalled by Klement in the Linz2000 closing session, related to distributivity and conditional distributivity of a uninorm and a continuous t-conorm, is solved for the most usual known classes of uninorms. From the obtained results, it is deduced that distributivity and conditional distributivity are equivalent for these cases. It is remarkable that solutions appear involving not only strict t-conorms but also ordinal sums of the maximum with a strict t-conorm. Conversely, the distributivity of a t-conorm over a uninorm is also studied leading only to already known solutions. Moreover, the dual case of distributivity and conditional distributivity involving uninorms and continuous t-norms is also solved, proving again the equivalence of both kinds of distributivities