Distributivity between uninorms and nullnorms. (English) Zbl 1216.03058
Summary: Recently the distributivity equation was investigated in families of certain operations (e.g., triangular norms, conorms, uninorms and nullnorms). Generally, the assumption of associativity is not necessary in the consideration of the distributivity equation. Moreover, if we omit the commutativity assumption, the consideration of the left and right distributivity conditions is reasonable. Previous results about distributivity between uninorms and nullnorms can be obtained as simple corollaries.
Keywords:
fuzzy connectives; aggregation operators; uninorm; nullnorm; distributivity equation; idempotent operationReferences:
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