Fuzzy AHP is often used in multi-criteria decision analysis. In this paper we consider an example given by Deng [I] and in particular the method used to approximate the fuzzy principle eigenvector of the fuzzy pairwise comparison matrices. We show Nigel Steele Computational Intelligence Group, School of Mathematical and Information Sciences, Coventry University, Priory Street, Coventry. CV1 5FB...

The Analytic Hierarchy Process (AHP) (Saaty, 1990) has been accepted as a leading multiattribute decision model both by practitioners and academics. AHP can solve decision problems in various fields by the prioritization of alternatives. The heart of the most familiar version of the AHP is the Saaty’s eigenvector method (EM) which approximates an positive reciprocal matrix n n× ) ( ij a A = , ,...

It has long been known with the Analytic Hierarchy Process (AHP) that addition or deletion of a copy of an existing alternative can cause the rank of other alternatives to reverse (Belton and Gear, 1983). Recently, Finan and Hurley (2002) discovered that removing a non-discriminating criterion from a multilevel AHP hierarchy causes the same phenomenon. This makes AHP appear deficient, since suc...

Fuzzy analytic hierarchy process (AHP) has been widely used for a variety of applications such as supplier selection, customer requirements assessment and the like. The vast majority of the applications, however, were found avoiding the use of sophisticated approaches for fuzzy AHP such as fuzzy least squares method while using a simple extent analysis for the sake of simplicity. The extent ana...

The Analytic Network Process (ANP) is a generalization of the Analytic Hierarchy Process (AHP). The basic structure is an influence network of clusters and nodes contained within the clusters. Priorities are established in the same way they are in the AHP using pairwise comparisons and judgment. Many decision problems cannot be structured hierarchically because they involve the interaction and ...

In recent years a growing number of companies modified their innovation process. Especially after the recent financial downturn, companies are looking for much more efficient and creative business processes. The aim of the presented paper is to present a decision support tool or in other words a software system for the application of the AHP method to support innovative and strategic process. F...

Tom Saaty developed the analytic hierarchy process (AHP) more than 25 years ago. Since then, AHP has been used by decision makers all over the world to model problems in diverse areas such as conflict analysis, marketing, R&D management, strategic planning, and public policy. Thousands of AHP papers have been published, documenting the wide applicability of the approach in ranking, selecting, e...