Fuzzy Sets and Systems
Remarks on uninorm aggregation operators
Fuzzy Sets and Systems
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
The structure of continuous uni-norms
Fuzzy Sets and Systems
Associative aggregation operators
Aggregation operators
On locally internal monotonic operations
Fuzzy Sets and Systems - Special issue: Preference modelling and applications
On the structure of left-continuous t-norms that have a continuous contour line
Fuzzy Sets and Systems
Rotation-invariant t-norms: The rotation invariance property revisited
Fuzzy Sets and Systems
Rotation-invariant t-norms: Where triple rotation and rotation--annihilation meet
Fuzzy Sets and Systems
On the characterization of Yager's implications
Information Sciences: an International Journal
Granular representation and granular computing with fuzzy sets
Fuzzy Sets and Systems
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Uninorms as binary operations on the unit interval have been widely applied in the fuzzy set theory. This paper presents some properties of uninorm-like operations for which the underlying operations are given by ordinal sums. If the underlying operations of a uninorm are given by ordinal sums, then the Cartesian product of the union of two arbitrary intervals (one in [0,e] and the other in [e,1], where e is the neutral element of the uninorm) is a set closed under the uninorm. When transposing such a Cartesian product to the unit square, one obtains a uninorm-like operation. As a result, we have described the uninorm-like operations for which the underlying operations are basic pseudo-t-norms and pseudo-t-conorms and one of them is idempotent.