Compatible preorders and linear operators on \({\mathbb{R}}^ n\)
The authors characterize preorders (quasiorders, reflexive transitive binary relations) $R$-compatible with the vector space structure on \(R^ n\) in the sense that, if \(xRy\), \(zRw\), then \((x+z)R(y+w)\) and \((cx)R(cy)\), $c$ positive, and studies representations as intersections of total orders of the same type.
scientific article; zbMATH DE number 4198209
scientific article