Semiorders
Subtitle: Properties, Representations, Applications
By: by M. Pirlot, Ph. Vincke
Contributors: Vincke, Ph
Series: Theory and Decision Library, Series B: Mathematical and Statistical Methods -- 36; Theory and Decision Library, Series B: Mathematical and Statistical Methods -- 36
Publisher: Springer Netherlands
Published: 1997
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] :
Number of pages: 190
ISBN-13: 9789048148691; 9789401588836
Subjects: Economics; Symbolic and mathematical Logic; Operations research; Algebra
Description: 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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