Fuzzy Sets and Systems
On some solutions of the distributivity equation
Fuzzy Sets and Systems - Special issue on triangular norms
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - special issue on measures and aggregation: formal aspects and applications to clustering and decision
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
Distributive idempotent uninorms
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Distributivity of residual implications over conjunctive and disjunctive uninorms
Fuzzy Sets and Systems
Distributivity between uninorms and nullnorms
Fuzzy Sets and Systems
Subdistributivity and superdistributivity of binary operations
Fuzzy Sets and Systems
The distributive equations for idempotent uninorms and nullnorms
Fuzzy Sets and Systems
Distributivity inequalities of monotonic operations
Fuzzy Sets and Systems
Distributivity and conditional distributivity of a uninorm and a continuous t-conorm
IEEE Transactions on Fuzzy Systems
Distributivity equations and Mayor's aggregation operators
Knowledge-Based Systems
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The problem of restricted distributivity, i.e., a form of relaxed distributivity on the restricted domain, plays an important role in many different fields such as utility theory and integration theory. This paper considers the following two cases of restricted distributivity: (i) a continuous nullnorm with respect to a continuous t-conorm and (ii) a continuous nullnorm with respect to a uninorm of the form U"m"i"n or U"m"a"x with continuous underlying t-norm and t-conorm.