Abstract: Systems and methods for computing a hair-coloring composition (HCC) or for dispensing ingredients for the HCC are disclosed herein. In some embodiments, the system comprises a hair-treatment objective-prioritization user interface (HTOP UI) for receiving multi-objective relative-importance data describing a relative importance of different hair-treatment objectives (e.g. immediate post-treatment accuracy versus auxiliary goals, or one auxiliary goal versus another) for a potential hair-coloring treatment. In some embodiments, a hair-coloring-composition (HCC) prediction-engine is responsive to input received via the HTOP UI to compute, from the initial hair-state data and from the target color-state, a customized hair-coloring composition predicted to transform a color state of the user's hair from the initial color state to the target color state. This may be performed according to the multi-objective relative-importance data.

Abstract: Systems and methods for computing a hair-coloring composition (HCC) or for dispensing ingredients for the HCC are disclosed herein. In some embodiments, the system comprises a hair-treatment objective-prioritization user interface (HTOP UI) for receiving multi-objective relative-importance data describing a relative importance of different hair-treatment objectives (e.g. immediate post-treatment accuracy versus auxiliary goals, or one auxiliary goal versus another) for a potential hair-coloring treatment. In some embodiments, a hair-coloring-composition (HCC) prediction-engine is responsive to input received via the HTOP UI to compute, from the initial hair-state data and from the target color-state, a customized hair-coloring composition predicted to transform a color state of the user's hair from the initial color state to the target color state. This may be performed according to the multi-objective relative-importance data.