Treffer: New parametric prioritization methods for an analytical hierarchy process based on a pairwise comparison matrix

Title:
New parametric prioritization methods for an analytical hierarchy process based on a pairwise comparison matrix
Authors:
HUO, Liang-An, JIBIN LAN, ZHONGXING WANG
Source:
Mathematical and computer modelling. 54(11-12):2736-2749
Publisher Information:
Kidlington: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 43 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Logique mathématique, fondements, théorie des ensembles, Mathematical logic, foundations, set theory, Logique et fondements, Logic and foundations, Récursivité, Recursion theory, Analyse mathématique, Mathematical analysis, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Programmation mathématique numérique, Numerical methods in mathematical programming, Méthodes de calcul scientifique (y compris calcul symbolique, calcul algébrique), Methods of scientific computing (including symbolic computation, algebraic computation), Analyse assistée, Computer aided analysis, Análisis asistido, Analyse numérique, Numerical analysis, Análisis numérico, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Modèle mathématique, Mathematical model, Modelo matemático, Méthode analytique, Analytical method, Método analítico, Méthode optimisation, Optimization method, Método optimización, Processus hiérarchie analytique, Analytic hierarchy process, Proceso jerarquía analítico, Programmation mathématique, Mathematical programming, Programación matemática, Série mathématique, Mathematical series, Serie matemática, 03D55, 65K05, 65Kxx, Analytic hierarchy process (AHP), Consistency, Judgment matrix, Parametric prioritization method (PPM), Priority
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
Antai College of Economics and Management, Shanghai Jiao Tong University, Shanghai 200052, China
School of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, China
ISSN:
0895-7177
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=24559709
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24559709
Database:
PASCAL Archive

Weitere Informationen

In this paper, new parametric prioritization methods (PPMs) to determine a family of priority vectors in an analytical hierarchy process (AHP) are proposed, pointing out the logical relation of elements in the comparative matrix. The scales and consistency cannot determine the priorities, but only the order of the alternatives. To derive the priorities of alternatives, a series of theorems and mathematical programming models is given based on a pairwise comparison matrix. This refers to parameters θ, α, β, by which there exists a family of priorities for the same judgment matrix. The discrimination of alternatives can be easily improved when using the proposed priority method by modifying the values of the parameters. Some false cognitions about how to determine the priority of an analytical hierarchy process are rectified. One should not elicit priority vectors from the judgment matrix; the information is incomplete, and the parameters must be considered. Finally, the meanings of parameters are explained in practical applications and an approach for determining the values of the parameters is proposed. Examples are also used to illustrate the features and applicability of the new approach in an AHP.