Custom Loss Function Equation

I am trying to reproduce a research paper, where it is a classification problem, and they have introduced a custom loss function that I am unable to understand.

Now I think I have to implement the equation (8) or equation (7) and I am using Tensorflow framework, but I am not able to understand the equation (8) as we have to input both Actual and Predicted Features in custom loss, but there answer is klog(lambda+1)

Similarly in equation 7, they are only using pi and pj which are actuall output i guess, but not yi and yj.

I am using Tensorflow 2 framework. Can someone help me explain these equations and some help in implementation.

I know it is not a reproducable example, but I need some direction to make it reproducable.

Edit

Link for paper: https://ieeexplore.ieee.org/document/9148944