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Abstract

The Analy,'ic Hierarchy Process (AHP) developed by Saaty Inore (han a decade ago has been widely applied in diverse decision making problenls ranging from socio-economic planning to engineering designs. One of the basic steps of this popular decision support tool is concerned with estimating a ratio scale of a set of entities from their inconsistent pairwise comparison judgement matrix. A number of estimation procedures for this purpose have been proposed. These include Saaty's eigenvector meihod, various geometric means methods, and methods using logarithmic least squares, least squares. and means Transformanons, amongst O,'hers. One Thing conunon to all these Inethods is rhe assumption that there exists a consistent weight ratio 'nan-tx whose entries are the ratios of the components ofa ratio scale being estimated. This paper describes a procedure for extracting this consistent weight ratio matrix from an Inconsistent pairwise comparison judgement matrix.

Publisher Name

University of Dar es Salaam

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