Hierarchies, reciprocal matrices, and ratio scales

Thomas Saaty
Joseph M. Katz Graduate School of Business
University of Pittsburgh
United States

Publication date: Jan, 1983

Journal: Discrete and System Models
- Pages: 218-253

Abstract: We are interested in the problem of finding a scale which reflects the relative intensity of a property shared by n objects. The objects may be n stones and the properties may be their weights. What is needed is a theory that would enable us to conduct measurement which produces not only known results but is useful and amenable to generalization to the social and behavioral fields. The first problem we have to face is how to assign numbers to all manifestations of a given property in any of the objects so that ratios give a faithful reflection of variation in this property from object to object.

Keywords: Ratio scale, Sibling relationship, Hierarchy Level, Pairwise comparison matrix solution, Priority function