2010•Applied Mathematics & Information SciencesRequires access

A Mathematical Structure of Processes for Generating Rankings Through the Use of Nonnegative Irreducible Matrices

Ichiro Hofuku, Kunio Oshima

Abstract

In our previous study, focusing on a ranking determination, we developed two ranking models. The foundation of these ranking models is derived from either one of the two ranking methods, denoted by Ranking (I) and Ranking (II), that were proposed in our previous papers. The purpose of this paper is to analyze the mathematical structure in the process of generating Ranking (I) and Ranking (II) in detail and to study the properties of the two ranking methods.

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Key concepts: Ranking (information retrieval), Ranking SVM, Computer science, Mathematics, Process (computing), Information retrieval, Operating system