In order to study the equivariant cobordism classification of involutions with fixed point set Dold manifolds, for a special Dold manifold [WTBX]F=P[DK](2,15), the equivariant cobordism classification of all involutions (M,T) with fixed point set was determined. Firstly, the Stiefel-Whitney classes of tangent bundle and normal bundle over P[DK](2,15) were given. Secondly, according to Kosniowski-Stong Theorem, either the contradiction was obtained by constructing a suitable symmetric polynomial function to prove that the hypothesis was wrong and the involution did not exist, or that arbitrary symmetric polynomial functions satisfy Kosniowski-Stong Theorem was proved, which illustrate the existence of involution. Finally, every involution (M,T) with fixed point set P[DK](2,15) bounds was obtained. The results show that there exists an involution with fixed point set P[DK](2,15), and the equivariant cobordism classification of all involutions can be determined. The research results popularize the conclusion of studying involutions fixing F=P[DK](2,n)(n=1,3,5), enrich the equivariant cobordism classification of involutions with fixed point set Dold manifolds, and provide some reference for researching involutions of fixed point set with other special manifold.