Simple image set of (max,+) linear mappings Original Research Article

Let us denote a⊕b=max(a,b) and a⊗b=a+b for a,b∈R and extend this pair of operations to matrices and vectors in the same way as in conventional linear algebra, that is if A=(aij), B=(bij), C=(cij) are real matrices or vectors of compatible sizes then C=A⊗B if cij=∑k⊕aik⊗bkj for all i,j.