On almost distributive Łukasiewicz triplets
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy Sets and Systems
On some solutions of the distributivity equation
Fuzzy Sets and Systems - Special issue on triangular norms
On a class of distributive fuzzy implications
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - Special issue on aggregation operators
The functional equations of Frank and Alsina for uninorms and nullnorms
Fuzzy Sets and Systems
The distributivity condition for uninorms and t-operators
Fuzzy Sets and Systems
The modularity condition for uninorms and t-operators
Fuzzy Sets and Systems
Associative aggregation operators
Aggregation operators
Distributivity between uninorms and nullnorms
Fuzzy Sets and Systems
The dominance relation in some families of continuous Archimedean t-norms and copulas
Fuzzy Sets and Systems
Subdistributivity and superdistributivity of binary operations
Fuzzy Sets and Systems
Restricted distributivity for aggregation operators with absorbing element
Fuzzy Sets and Systems
Distributivity equations and Mayor's aggregation operators
Knowledge-Based Systems
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The aim of this work is to complement recent results about distributive binary operations. Our investigation was motivated by non-distributive logical connectives and their generalizations in fuzzy set theory. In spite of the title we neither solve the concerned functional inequalities nor look for characterization of the solutions of such inequalities. We only lay bare conditions for their fulfilment. For monotonic operations with neutral or zero element we present the sufficient conditions to obtain the subdistributivity or superdistributivity in the case of the lack of distributivity for the considered pairs of operations. In particular we describe families of increasing binary operations subdistributive or superdistributive with respect to idempotent uninorms and nullnorms.