Semiorders

Properties, Representations, Applications

Marc Pirlot, P. Vincke (Autoren)

Buch | Softcover

190 Seiten

2010 | Softcover reprint of hardcover 1st ed. 1997
Springer (Verlag)
978-90-481-4869-1 (ISBN)

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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.

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.

Erscheint lt. Verlag	5.12.2010
Reihe/Serie	Theory and Decision Library B ; 36
Zusatzinfo	X, 190 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Wirtschaft ► Allgemeines / Lexika
	Wirtschaft ► Betriebswirtschaft / Management ► Unternehmensführung / Management
ISBN-10	90-481-4869-3 / 9048148693
ISBN-13	978-90-481-4869-1 / 9789048148691
Zustand	Neuware