HodgeRank Is the Limit of Perron Rank
Published Online:3 Feb 2016https://doi.org/10.1287/moor.2015.0744
References
- (1998) Asymptotics of the Perron eigenvalue and eigenvector using max-algebra. Comptes Rendus de l’Académie des Sciences—Series I—Math. 327(11):927–932.Crossref, Google Scholar
- (2010) Spectral Analysis of Large Dimensional Random Matrices, Springer Series in Statistics (Springer, New York).Crossref, Google Scholar
- (1987) The geometric mean procedure for estimating the scale of a judgement matrix. Math. Modelling 9(3):327–334.Crossref, Google Scholar
- (2005) A method for approximating symmetrically reciprocal matrices by transitive matrices. Linear Algebra Appl. 403:207–215.Crossref, Google Scholar
- (2010) Consensus models for AHP group decision making under row geometric mean prioritization method. Decision Support Systems 49(3):281–289.Crossref, Google Scholar
- (2004) Max-algebra and pairwise comparison matrices. Linear Algebra Appl. 385:47–62.Crossref, Google Scholar
- (2007) The analysis of the principal eigenvector of pairwise comparison matrices. Acta Polytechnica Hungarica 4(2):99–115.Google Scholar
- (2010) Preference Learning (Springer, Berlin).Google Scholar
- (2006) Ranking sports teams and the inverse equal paths problem. Internet Network Economics (Springer, Berlin),307–318.Crossref, Google Scholar
- (2011) Statistical ranking and combinatorial Hodge theory. Math. Programming 127(1):203–244.Crossref, Google Scholar
- (2014) A new way to analyze paired comparison rules. Math. Oper. Res. 39(3):647–655.Link, Google Scholar
- (1980) The Analytic Hierarchy Process (McGrawHill, New York).Google Scholar
- (2006) Rank from comparisons and from ratings in the analytic hierarchy/network processes. Eur. J. Oper. Res. 168(2):557–570.Crossref, Google Scholar
- (1990) Matrix Perturbation Theory (Academic Press, New York).Google Scholar
- (2013) Pairwise ranking: Choice of method can produce arbitrarily different rank order. Linear Algebra Appl. 438(3):1012–1024.Crossref, Google Scholar
- (1988) On the limit of the largest eigenvalue of the large dimensional sample covariance matrix. Probability Theory and Related Fields 78(4):509–521.Crossref, Google Scholar

