On Multiplicative, Additive and Qualitative Pairwise Comparisons

A relationship between the classical multiplicative pairwise comparisons that are based on aij aji = 1, the additive model based on $b_j^i + b_i^j = 1$, and qualitative pairwise comparisons that uses the relations ≈, ⊏, ⊂, < and ≺, is discussed in detail. A special attention is paid to the concept of consistency and weights calculations. An on-line tool is also discussed.