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Semiorders : Properties, Representations, Applications - M. Pirlot

Semiorders

Properties, Representations, Applications

Hardcover Published: 30th June 1997
ISBN: 9780792346173
Number Of Pages: 190

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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.

Introductionp. 1
First presentationp. 7
History and applicationsp. 19
Basic concepts and definitionsp. 49
Minimal representationsp. 71
Valued semiordersp. 103
Aggregation of semiordersp. 125
Miscellaneousp. 167
Conclusionp. 173
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792346173
ISBN-10: 0792346173
Series: THEORY AND DECISION LIBRARY SERIES B, MATHEMATICAL AND STATISTICAL METHODS
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 190
Published: 30th June 1997
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.4 x 15.6  x 1.2
Weight (kg): 0.46