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Journal ArticleDOI

A Scaling Method for Priorities in Hierarchical Structures

Thomas L. Saaty
- 01 Jun 1977 - 
- Vol. 15, Iss: 3, pp 234-281
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TLDR
A method of scaling ratios using the principal eigenvector of a positive pairwise comparison matrix is investigated, showing that λmax = n is a necessary and sufficient condition for consistency.
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This article is published in Journal of Mathematical Psychology.The article was published on 1977-06-01. It has received 8117 citations till now. The article focuses on the topics: Scaling & Rank reversals in decision-making.

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Book ChapterDOI

The Analytic Hierarchy Process

TL;DR: Analytic Hierarchy Process (AHP) as mentioned in this paper is a systematic procedure for representing the elements of any problem hierarchically, which organizes the basic rationality by breaking down a problem into its smaller constituent parts and then guides decision makers through a series of pairwise comparison judgments to express the relative strength or intensity of impact of the elements in the hierarchy.
Journal ArticleDOI

How to make a decision: The analytic hierarchy process

TL;DR: The Analytic Hierarchy Process (AHP) as discussed by the authors is a multicriteria decision-making approach in which factors are arranged in a hierarchic structure, and the principles and philosophy of the theory are summarized giving general background information of the type of measurement utilized, its properties and applications.
Journal ArticleDOI

How to Make a Decision: The Analytic Hierarchy Process

Thomas L. Saaty
- 01 Dec 1994 - 
TL;DR: The analytic hierarchy process (AHP) includes both the rating and comparison methods and requires developing a reliable hierarchic structure or feedback network that includes criteria of various types of influence, stakeholders, and decision alternatives to determine the best choice.
Journal ArticleDOI

Fuzzy hierarchical analysis

TL;DR: A new method of finding the fuzzy weights in fuzzy hierarchical analysis which is the direct fuzzification of the original method used by Saaty (1980) in the analytic hierarchy process is presented.
Journal ArticleDOI

Best-worst multi-criteria decision-making method

TL;DR: In this article, a new method, called best-worst method (BWM) is proposed to solve multi-criteria decision-making (MCDM) problems, in which a number of alternatives are evaluated with respect to different criteria in order to select the best alternative(s).
References
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Journal Article

The magical number seven, plus or minus two: some limits on our capacity for processing information

TL;DR: The theory of information as discussed by the authors provides a yardstick for calibrating our stimulus materials and for measuring the performance of our subjects and provides a quantitative way of getting at some of these questions.
Book

The magical number seven plus or minus two: some limits on our capacity for processing information

TL;DR: The theory provides us with a yardstick for calibrating the authors' stimulus materials and for measuring the performance of their subjects, and the concepts and measures provided by the theory provide a quantitative way of getting at some of these questions.
Book

The Theory of Matrices

TL;DR: In this article, the Routh-Hurwitz problem of singular pencils of matrices has been studied in the context of systems of linear differential equations with variable coefficients, and its applications to the analysis of complex matrices have been discussed.
Book

The algebraic eigenvalue problem

TL;DR: Theoretical background Perturbation theory Error analysis Solution of linear algebraic equations Hermitian matrices Reduction of a general matrix to condensed form Eigenvalues of matrices of condensed forms The LR and QR algorithms Iterative methods Bibliography.