  In this paper, we introduce the theory of Rota-Baxter operators on Clifford
semigroups, useful tools for obtaining dual weak braces, i.e., triples
$\left(S,+,\circ\right)$ where $\left(S,+\right)$ and $\left(S,\circ\right)$
are Clifford semigroups such that $a\circ\left(b+c\right) = a\circ b - a
+a\circ c$ and $a\circ a^- = -a+a$, for all $a,b,c\in S$. To each algebraic
structure is associated a set-theoretic solution of the Yang-Baxter equation
that has a behaviour near to the bijectivity and non-degeneracy. Drawing from
the theory of Clifford semigroups, we provide methods for constructing dual
weak braces and deepen some structural aspects, including the notion of ideal.
