title: Bicriterion seriation methods for skew-symmetric matrices.
abstract: The decomposition of an asymmetric proximity matrix into its symmetric and skew-symmetric components is a well-known principle in combinatorial data analysis. The seriation of the skew-symmetric component can emphasize information corresponding to the sign or absolute magnitude of the matrix elements, and the choice of objective criterion can have a profound impact on the ordering. In this research note, we propose a bicriterion approach for seriation of a skew-symmetric matrix incorporating both sign and magnitude information. Two numerical demonstrations reveal that the bicriterion procedure is an effective alternative to direct seriation of the skew-symmetric matrix, facilitating favourable trade-offs among sign and magnitude information.
authors.affiliation: Department of Marketing, College of Business, Florida State University, Tallahassee 32306-1110, USA. mbrusco@cob.fsu.edu
authors.forename: Michael J
authors.initials: MJ
authors.lastname: Brusco
authors.forename: Stephanie
authors.initials: S
authors.lastname: Stahl
mesh_terms: D006801:Humans; D008960:Models, Psychological; D011584:Psychology / Q000379:methods / Q000706:statistics & numerical data; D012107:Research Design