I've come up with a new, math-based system for breeding the world's cutest cats.
Begin with a breeding set of cats. Rank each cat's cuteness based on a fixed set of criteria. This data is formatted into a matrix. The set of matrices is then calculated for their Eigenvalue.
Now select cats whose cuteness measurements most closely match the Eigencuteness values. From their kittens calculate new Eigencuteness values, a new Eigenvalue overall, and repeat. Eventually you'll have a cat that approaches optimal cuteness!
This approach also accommodates for changes in taste because the Eigenvalue can shift over time.