notion of quasitransitivity is a weakened version of transitivity that is used in social choice theory and microeconomics. Informally, a relation is quasitransitive...

applications of in decision theory, psychometrics and utility models. A quasitransitive relation is another generalization; it is required to be transitive only...

tolerance relation of a sublattice of a direct product of two-element lattices.: 40, Theorem 3  Dependency relation Quasitransitive relation—a generalization...

reasonable that the relation ">" is a semi-order while ≥ is quasitransitive. Conversely, from a given semi-order > the indifference relation ≈ can be reconstructed...

or yRz. This is used in pseudo-orders in constructive mathematics. Quasitransitive for all x, y, z ∈ X, if xRy and yRz but neither yRx nor zRy, then xRz...

equivalence relation Partial function Partially ordered set Preorder Prewellordering Propositional function Quasitransitive relation Reflexive relation Serial...

results in a Hasse diagram for a relation that is still quasitransitive, but violates both axiom 2 and 3; this relation might no longer be useful as a preference...

set. A right Euclidean relation is always quasitransitive, as is a left Euclidean relation. A connected right Euclidean relation is always transitive;...

preorder. Quasitransitive. A relation is quasitransitive if the relation on distinct elements is transitive. Transitive implies quasitransitive and quasitransitive...

co-transitive relation, then R is also quasitransitive; R satisfies axiom 3 of semiorders; incomparability w.r.t. R is a transitive relation; and R is connex...