Semiorder is probably one of the most frequently ordered structures in
science. It naturally appears in fields like psychometrics, economics,
decision sciences, linguistics and archaeology. It explicitly takes into
account the inevitable imprecisions of scientific instruments by
allowing the replacement of precise numbers by intervals. The purpose of
this book is to dissect this structure and to study its fundamental
properties. The main subjects treated are the numerical representations
of semiorders, the generalizations of the concept to valued relations,
the aggregation of semiorders and their basic role in a general
theoretical framework for multicriteria decision-aid methods.
Audience: This volume is intended for students and researchers in the
fields of decision analysis, management science, operations research,
discrete mathematics, classification, social choice theory, and order
theory, as well as for practitioners in the design of decision tools