Details

Autor(en) / Beteiligte

• Inuiguchi, Masahiro

Titel

An Evidence Theoretic Approach to Interval Analytic Hierarchy Process

Ist Teil von

• Integrated Uncertainty in Knowledge Modelling and Decision Making, p.60-71

Ort / Verlag

Cham: Springer International Publishing

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The interval Analytic Hierarchy Process (AHP) has been proposed to express vague evaluations of the decision maker as a normalized interval weight vector. In this paper, we apply the evidence theory to the representation of the vague evaluations as an alternative way. Accordingly, in the proposed approach, a basic probability assignment (BPA) is used for representing vague priority weights instead of a normalized interval weight vector. We formulate the problem estimating a BPA from a given pairwise comparison matrix as a linear programming problem. We investigate the relation between the proposed approach and the interval AHP. We show that the formulated BPA estimation problem is equivalent to the problem of estimating a normalized interval weight vector with an additional constraint.