  This paper is devoted to the study of eigenvalue region of the doubly
stochastic matrices which are also permutative, that is, each row of such a
matrix is a permutation of any other row. We call these matrices as permutative
doubly stochastic (PDS) matrices. A method is proposed to obtain symbolic
representation of all PDS matrices of order $n$ by finding equivalence classes
of permutationally similar symbolic PDS matrices. This is a hard problem in
general as it boils down to finding all Latin squares of order $n.$ However,
explicit symbolic representation of matrices in these classes are determined in
this paper when $n=2, 3, 4.$ It is shown that eigenvalue regions are same for
doubly stochastic matrices and PDS matrices when $n=2, 3.$ It is also
established that this is no longer true for $n=4,$ and two line segments are
determined which belong to the eigenvalue region of doubly stochastic matrices
but not in the eigenvalue region of PDS matrices. Thus a conjecture is
developed for the boundary of the eigenvalue region of PDS matrices of order
$4.$ Finally, inclusion theorems for eigenvalue region of PDS matrices are
proved when $n\geq 2.$
