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 replace...

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Bibliographic Details

Main Authors:	Pirlot, Marc (Author), Vincke, P. (Author)
Format:	Electronic eBook
Language:	English
Published:	Dordrecht Springer Netherlands 1997
Edition:	1st ed. 1997
Series:	Theory and Decision Library B, Mathematical and Statistical Methods 36
Subjects:	Operations Research/Decision Theory Order, Lattices, Ordered Algebraic Structures Mathematical Logic and Foundations Operations research Decision making Algebra Ordered algebraic structures Mathematical logic Halbordnung
Online Access:	BTU01 Volltext
Summary:	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
Physical Description:	1 Online-Ressource (X, 190 p)
ISBN:	9789401588836
DOI:	10.1007/978-94-015-8883-6