On Left and Right Uninorms

Abstract
This paper presents a characterization of a new family of operators. Namely, all non-decreasing, associative binary operators U: [0, 1]2 → [0, 1] with a left (or right) neutral element e ∈ [0, 1], and such that they satisfy an additional hypothesis on continuity which is called here left (or right) pseudocontinuity.