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Semiorders – Properties, Representations, Applications

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Semiorder is most likely some of the regularly ordered structures in science. It naturally appears in fields like psychometrics, economics, decision sciences, linguistics and archaeology. It explicitly takes under consideration the inevitable imprecisions of scientific instruments by allowing the replacement of precise numbers by intervals. The aim of this book is to dissect this structure and to review its fundamental properties. The principle subjects treated are the numerical representations of semiorders, the generalizations of the idea that 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 within the fields of decision analysis, management science, operations research, discrete mathematics, classification, social choice theory, and order theory, in addition to for practitioners within the design of decision tools.

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Semiorders – Properties, Representations, Applications

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