1. The intra distance among members of a segment with key multi-dimensional factors is the minimum while inter distance between segments at the mean of those multi-dimensional factors is maximum (Optimization 1)
2. The contribution of the single most outcome measure (opportunity value segments) almost equally contributed by each of the segment (Optimization 2); this is more of tradition.
3. The persona defined using (behavior/demographics) comes with high resolution (variance in persona factors are minimum possible) picture (Optimization 3) among segments
4. The strategic designing process as a non-supervised learning in coming out with a segmentation scheme with the above characteristics is that these factors hold good simultaneously
Ask your vendor or your analyst to explain these and provide explainable evidence of these.