Axiomatic Characterization of Partial Ordinal Relations.
Andrea Capotorti, Barbara Vantaggi · 1999
capotttdipmat.unipg.it In this paper '"c focus on the theoretical properties of non-numerical representation of the uncertainty. As usual, this representation is realized by an '"ordinal relation' ' (or, equivalently, by a "comparative scale") among the "entities " (events, alternatives or ads) of a specific problem. After giving an overview of dif-ferent. known axioms characterizing some classes of ordinal relations (and their duals), we introduce some axioms capable to enclose the necessary and sufficient conditions for the rcprcscntability of ordinal relations defined on arbitrary finite sets of events by the bcst-knO\\vn uncertainty measures.