We show that the semiorder separability condition used by Candeal and Induráin in their characterization of semiorders having a strict representation with positive threshold can be factorized into two conditions. The first says that the trace of the semiorder must have a numerical representation. The second asserts that the number of “noses” in the semiorder must be finite or countably infinite. We discuss the interest of such a factorization.
CITATION STYLE
Bouyssou, D., & Pirlot, M. (2020). A note on candeal and Induráin’s semiorder separability condition. In Studies in Systems, Decision and Control (Vol. 263, pp. 129–141). Springer. https://doi.org/10.1007/978-3-030-34226-5_6
Mendeley helps you to discover research relevant for your work.