alternativa to softmax?

Would you suggest it?

I don’t like softmax since softmax(const * x) != softmax (x) .

For instance softmax([0,0.2,0.05]) = [0.3,0.37,0.32], so I can’t interpretare it as probability at all, bacuse value zero gives 0.3.

Thank you in advance

P.S. I use prob(x_i) = x_i/sum(x_i) right now, it better fit my need.