Understanding the Analytic Hierarchy Process (original) (raw)

The Seven Pillars of the Analytic Hierarchy Process

The Analytic Hierarchy Process (AHP) provides the objective mathematics to process the inescapably subjective and personal preferences of an individual or a group in making a decision. With the AHP and its generalization, the Analytic Network Process (ANP), one constructs hierarchies or feedback networks, then makes judgments or performs measurements on pairs of elements with respect to a controlling element to derive ratio scales that are then synthesized throughout the structure to select the best alternative.

Review of the main developments of the Analytic Hierarchy Process

Expert Systems with Applications, 2011

In this paper the authors review the developments of the Analytic Hierarchy Process (AHP) since its inception. The focus of this paper is a neutral review on the methodological developments rather than reporting its applications that have appeared since its introduction. In ...

THE ANALYTIC HIERARCHY PROCESS-WHAT IT IS AND HOW IT IS USED

Here we introduce the Analytic Hierarchy Process as a method of measurement with ratio scales and illustrate it with two examples. We then give the axioms and some of the central theoretical underpinnings of the theory. Finally, we discuss some of the ideas relating to this process and its ramifications. In this paper we give special emphasis to departure from consistency and its measurement and to the use of absolute and relative measurement, providing examples and justification for rank preservation and reversal in relative measurement.

Facts and fictions about the analytic hierarchy process

Mathematical and Computer Modelling, 1993

Despite the many books and jonmal articles that have appeared about the Analytic Hierarchy Process (AHP), some important misconceptions about AHP remain. This paper discusses issues which underlie these misconceptions, including the cause and significance of "rank reversal," situations allowing or preventing rank reversals, the constraint of a 9 point scale, the roles of redundancy, intransitivities, and inconsistencies, the accommodation of objectivity and uncertainty, the similarities of AHP and Multi Attribute Utility Theory (MAUT), and opportunities to combine MCDM methodologies in real world decisions.

Analytic hierarchy process: An overview of applications

European Journal of operational research, 2006

This article presents a literature review of the applications of Analytic Hierarchy Process (AHP). AHP is a multiple criteria decision-making tool that has been used in almost all the applications related with decision-making. Out of many different applications of AHP, this article covers a select few, which could be of wide interest to the researchers and practitioners. The article critically analyses some of the papers published in international journals of high repute, and gives a brief idea about many of the referred publications. Papers are categorized according to the identified themes, and on the basis of the areas of applications. The references have also been grouped region-wise and year-wise in order to track the growth of AHP applications. To help readers extract quick and meaningful information, the references are summarized in various tabular formats and charts.

A Literature Review on Ahp ( Analytic Hierarchy Process )

2018

This paper examines the pattern of development of the AHP research. The Analytic Hierarchy Process (AHP) was introduced by T.L. Saaty, is an effective tool for dealing with complex decision making, and may aid the decision maker to set priorities and make the best decision. The analytic hierarchy process (AHP) is a theory of measurement through pairwise comparisons and relies on the judgments of experts to derive priority scales, these scales that measure intangibles in relative terms. The ratio scales are derived from the principal Eigen vectors and the consistency index is derived from the principal Eigen value.

Review of the main developments in the analytic hierarchy process

Expert Systems With Applications, 2011

In this paper the authors review the developments of the analytic hierarchy process (AHP) since its inception. The focus of this paper is a neutral review on the methodological developments rather than reporting its applications that have appeared since its introduction. In particular, we discuss problem modelling, pair-wise comparisons, judgement scales, derivation methods, consistency indices, incomplete matrix, synthesis of the weights, sensitivity analysis and group decisions. All have been important areas of research in AHP.► Methodological developments of the analytic hierarchy process are reviewed. ► We discuss problem modelling, pair-wise comparisons, judgement scales. ► We examine derivation methods, consistency indices, incomplete matrix. ► We explore synthesis of the weights, sensitivity analysis and group decisions.