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Rank According to Perron: A New Insight

Suppose we have several alternatives that we wish to rank.  For example, we may wish to rank five teachers according to their teaching excellence.  The author constructs a positive matrix \(A\) based on pairwise comparisons of the alternatives, and uses the Perron principal eigenvector to find a ranking.  The author employs dominance walks to obtain these results.

Old Node ID: 
2843
Author(s): 
Thomas L. Saaty (University of Pittsburgh)
Publication Date: 
Tuesday, August 12, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
October, 1987
Subject(s): 
Eigenvalues and Eigenvectors
Mathematics for Humanities
Data Representation
Topic(s): 
Linear Algebra
Application: Markov
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
9.00
Rating Sum: 
26.00
Rating Average: 
2.89
Author (old format): 
Thomas L. Saaty
Applicable Course(s): 
3.8 Linear/Matrix Algebra
7.10 Survey Design & Analysis
Modify Date: 
Tuesday, August 12, 2008
Average: 2.9 (9 votes)

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