Abstract
Uninorms as mixed aggregation operations on the unit interval have been widely used as logical connectives in fuzzy set theory. This paper presents some properties of uninorms for which the underlying operations are given as ordinal sums. Specially, we present the relations between two arbitrary summands and the value on Cartesian product of their underlying intervals (one in [0,e] and the other in [e,1], where e is neutral element of the uninorm), whose results bring us a step closer to the structure of uninorms that have continuous underlying operations. As a byproduct, we characterize several special classes of uninorms that are different from the well studied classes of uninorms.
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