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Semiorders - Properties, Representations, Applications (Hardcover, 1997 ed.)
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Semiorders - Properties, Representations, Applications (Hardcover, 1997 ed.)
Series: Theory and Decision Library B, 36
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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.
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