Relation Between AHP and Operators Based on Different Scales

The triangle assessment method: A new procedure for eliciting expert judgement

“…This is made possible by using a scale (Saaty, 1980) that has been developed in different studies (e.g. Dong, Xu, Li, Min, 2008, Ishizaka, Labib, 2011, Tsyganok, Kadenko, Andriichuk, 2016and Cables, Lamata, Verdegay, 2016. The transformation involves the following axiomatic principles (Saaty, 1986): (i) the property of reciprocal judgements (a ij = 1/a ji ), where a ij represents the value of the comparison of the elements i and j, and a ji is the value corresponding to the element j in comparison with i, which is fundamental for paired comparisons; (ii) homogeneity, which is characteristic of a person's ability to compare something that does not vary greatly from a common property and therefore must be organized hierarchically; (iii) the dependence of a level below the adjacent top level; and (iv) the idea that the result can only reflect the expectations of the decision maker.…”