In several multiobjective decision problems Pairwise Comparison Matrices (PCM) are applied to evaluate the decision variants. The problem that arises very often is inconsistency of given PCM. In such a situation it is important to approximate the PCM with a consistent one. The most common way is to minimize the Euclidean distance between the matrices. In the paper we consider minimization of th...

What weight estimation method to choose in the Analytic Hierarchy Process is an important study subject, because each local estimate weight value depends on an employed weight estimation method and hence the global decision making result of the AHP, which is obtained by integrating estimated local weights, is also affected by the employed weight estimation method. The optimality of the weight e...

Deriving weights from a pairwise comparison matrix (PCM) is a subject for which a wide range of methods have ever been presented. This paper proposes a common weight multi criteria decision analysis-data envelopment analysis (MCDA-DEA) approach with assurance region for weight derivation from a PCM. The proposed model has several merits over the competing approaches and removes the drawbacks of...

This paper proposes a method for ranking decision making units (DMUs) using some of the multiple criteria decision making / multiple attribute decision making          (MCDM /MADM) techniques, namely, interval analytic hierarchy process (IAHP)          and the technique for order preference by similarity to an ideal solution (TOPSIS).          Since the efficiency score of unity is assigned to ...

A crucial problem in a decision-making process is the determination of a scale of relative importance for a set X $x1, x2, . . . , xn % of alternatives either with respect to a criterion C or an expert E. A widely used tool in Multicriteria Decision Making is the pairwise comparison matrix A ~aij !, where aij is a positive number expressing how much the alternative xi is preferred to the altern...

Pairwise comparison is a popular assessment method either for deriving criteria-weights or for evaluating alternatives according to a given criterion. In realworld applications consistency of the comparisons rarely happens: intransitivity can occur. The aim of the paper is to discuss the relationship between the consistency of the decision maker—described with the error-free property—and the co...

Ever since the birth of data envelopment analysis (DEA) the question of ranking the decision making units (DMUs) has been one of the focal points of research in the area. Among several other approaches, promising attempts have been made to marry DEA with the analytic hierarchy process (AHP) method. Keeping the idea of using DEA-based pairwise comparisons between the DMUs, as proposed in some DE...

0020-0255/$ see front matter 2008 Elsevier Inc doi:10.1016/j.ins.2008.05.028 * Corresponding author. Tel.: +886 7 6577711x65 E-mail addresses: [email protected], dr.deor@g The lack of consistency in decision making can lead to inconsistent conclusions. In fuzzy analytic hierarchy process (fuzzy AHP) method, it is difficult to ensure a consistent pairwise comparison. Furthermore, establishing a ...

The pairwise comparisonsmethod is a convenient tool used when the relative order among different concepts (alternatives) needs to be determined. One popular implementation of the method is based on solving an eigenvalue problem for the pairwise comparisons matrix. In such cases the ranking result the principal eigenvector of the pairwise comparison matrix is adopted, whilst the eigenvalue is us...