On realizable biorders and the biorder dimension of a relation

From MaRDI portal
Publication:1057213

DOI10.1016/0022-2496(84)90020-8zbMath0562.92018OpenAlexW2077863743MaRDI QIDQ1057213

Jean-Paul Doignon, André Ducamp, Jean-Claude Falmagne

Publication date: 1984

Published in: Journal of Mathematical Psychology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-2496(84)90020-8




Related Items (75)

Media theorySome remarks on the notion of compensation in MCDMCollapsing binary data for algebraic multidimensional representationOn the separation of two relations by a biorder or a semiorderBiorder families, valued relations, and preference modellingPreferences for multi-attributed alternatives: traces, dominance, and numerical representationsGeneralized Debreu's open gap lemma and continuous representability of biordersUnified representability of total preorders and interval orders through a single function: the lattice approachINTERVAL-VALUED REPRESENTABILITY OF QUALITATIVE DATA: THE CONTINUOUS CASEContinuous semiorder representationsOn relationships between numerical representations of interval orders and semiordersOn finding the bidimension of a relationInterval orders based on arbitrary ordered setsContinuous representation of a preference relation on a connected topological spaceMultidimensional scaling and threshold graphsWell-graded families of relationsRepresenting digraphs using intervals or circular arcsViolation of the transitivity axiom may explain why, in empirical studies, a significant number of subjects violate GARPBiased extensive measurement: the general caseSome results on biordered structures, in particular distributed systemsOn the structure of trapezoid graphsA note on the representation of preferencesContinuous representability of interval orders and biordersCharacterization of the existence of semicontinuous weak utilities for binary relationsContinuous representations of interval orders by means of two continuous functionsBi-semiorders with frontiers on finite setsOn the Ferrers property of valued interval ordersForbidden substructure for interval digraphs/bigraphsDrawing Order Diagrams Through Two-Dimension ExtensionBiorders with frontierFinite dimensional scattered posetsOn dynamic threshold graphs and related classesPlural psychological developmental models: An ordinal generalization of the Guttman scaleOn the dimension of the Cartesian product of relations and ordersOn the order dimension of convex polytopesRepresenting preferences using intervalsIntersection representation of digraphs in trees with few leavesSet-valued utilities for strict partial ordersOpen Questions in Utility TheoryA Note on Candeal and Induráin’s Semiorder Separability ConditionChain Representations of Nested Families of BiordersContinuous representability of semiordersUpper semicontinuous representations of interval ordersInjective envelopes of transition systems and Ferrers languagesUnit representation of semiorders. I: Countable setsUnit representation of semiorders. II: The general caseIsing formulations of some graph-theoretic problems in psychological research: models and methodsDemocracy and efficiency: A note on ``Arrow's theorem is not a surprising resultEar decomposition for pair comparison dataReal interval representationsThe biorder polytopeFollowing the traces: an introduction to conjoint measurement without transitivity and additivityBigraphs/digraphs of Ferrers dimension 2 and asteroidal triple of edgesFacets of the linear ordering polytope: a unification for the fence family through weighted graphsHomothetic interval ordersRemoving critical pairsThe Number of Plane Diagrams of a LatticeOptimum turn-restricted paths, nested compatibility, and optimum convex polygonsModels for ordinal hierarchical classes analysisScott-suppes representability of semiorders: Internal conditionsUNIVERSAL CODOMAINS TO REPRESENT INTERVAL ORDERSParametrization of knowledge structuresA survey on the mathematical foundations of axiomatic entropy: representability and orderingsDimensions of hypergraphsMatching relations and the dimensional structure of social choicesA generic disjunctive/conjunctive decomposition model for \(n\)-ary relationsAdditive conjoint measurement with ordered categoriesGeneralized homothetic biordersDimension of valued relationsInterval orders, semiorders and ordered groupsVariable intervals modelAn interval digraph in relation to its associated bipartite graphRepresentability of binary relations through fuzzy numbersNumerical representability of semiordersNontransitive decomposable conjoint measurement.



Cites Work


This page was built for publication: On realizable biorders and the biorder dimension of a relation