The Analytic Hierarchy Process Method To Determine The Structure Of The Matrix Problem,

The basis of AHP is judgement matrix, generally including AHP judgement matrix and fuzzy reciprocal matrix, which rely on Saaty preference relation and fuzzy preference relation respectively. This paper compared several familiar ratio scales of Saaty AHP firstly; and then, common methods for computing priority vector from AHP judgment matrix and fuzzy reciprocal matrix were summarized. In chapter 3, the paper proposed a new kind of preference relation, i.e. distance preference relation; followed this, a scale was introduced for constructing antisymmetric matrix, and consistency of the matrix was defined, three methods for computing priority vector were studied; At the end, two examples were used to demonstrate the application of the new method, and they showed that the introduction of antisymmetric matrix to AHP is effective and valuable.