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Partially ordered sets. --- Ensembles partiellement ordonnés --- Ensembles partiellement ordonnés

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Mathematical analysis --- Partially ordered sets. --- Ensembles partiellement ordonnés. --- Combinatorial set theory. --- Ensembles, Théorie combinatoire des. --- Combinatorial set theory --- Partially ordered sets --- Posets --- Sets, Partially ordered --- Ordered sets --- Set theory, Combinatorial --- Combinatorial analysis --- Set theory

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Ordered algebraic structures --- Artin rings. --- Representations of rings (Algebra) --- Partially ordered sets --- Representations of algebras --- Anneaux artiniens. --- Ensembles partiellement ordonnés. --- Représentations d'algèbres. --- Artin rings --- Rings (Algebra) --- Algebra --- Posets --- Sets, Partially ordered --- Ordered sets --- Artinian rings --- Rings, Artin --- Rings, Artinian --- Associative rings --- Commutative rings

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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.

Besluitvorming--Problemen --- Decision problems --- Décision [Prise de ]--Problèmes --- Décision statistique --- Ensembles partiellement ordonnés --- Gedeeltelijke geordende gehelen --- Partially ordered sets --- Posets --- Sets [Partially ordered ] --- Statistical decision --- Decision making --- Prise de décision --- Mathematical models --- Modèles mathématiques --- Game theory --- Operations research --- Statistics --- Management science --- Sets, Partially ordered --- Ordered sets --- Partially ordered sets. --- Statistical decision. --- Prise de décision --- Modèles mathématiques --- Operations research. --- Decision making. --- Algebra. --- Ordered algebraic structures. --- Mathematical logic. --- Operations Research/Decision Theory. --- Order, Lattices, Ordered Algebraic Structures. --- Mathematical Logic and Foundations. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Algebraic structures, Ordered --- Structures, Ordered algebraic --- Algebra --- Mathematical analysis --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Operational analysis --- Operational research --- Industrial engineering --- Research --- System theory