  Dynamic logic is a powerful framework for reasoning about imperative
programs. An extension with a concurrent operator [18] was introduced to
formalise programs running in parallel. In other direction, other authors
proposed a systematic method for generating multi-valued propositional dynamic
logics to reason about weighted programs [14]. This paper presents the first
step of combining these two frameworks to introduce uncertainty in concurrent
computations. In the developed framework, a weight is assigned to each branch
of the parallel execution, resulting in a (possible) asymmetric parallelism,
inherent to fuzzy programming paradigm [21, 2]. By adopting such an approach, a
family of logics is obtained, called multi-valued concurrent propositional
dynamic logics (CGDL(A)), parametric on an action lattice A specifying a notion
of "weight" assigned to program execution. Additionally, the validity of some
axioms of CPDL is discussed in the new family of generated logics.
