Semiorders: Properties, Representations, Applications

Author:   Marc Pirlot ,  P. Vincke
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1997
Volume:   36
ISBN:  

9789048148691


Pages:   190
Publication Date:   05 December 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Semiorders: Properties, Representations, Applications


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Overview

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.

Full Product Details

Author:   Marc Pirlot ,  P. Vincke
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1997
Volume:   36
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9789048148691


ISBN 10:   9048148693
Pages:   190
Publication Date:   05 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 First presentation.- 2 History and applications.- 3 Basic concepts and definitions.- 4 Minimal representations.- 5 Valued semiorders.- 6 Aggregation of semiorders.- 7 Miscellaneous.- Conclusion.

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