intransitivity
Sign in to saveIn mathematics, intransitivity (sometimes called nontransitivity) is a property of binary relations that are not transitive relations. That is, we can find three values a, b, and c where the transitive condition does not hold.
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Encyclopedic overview
8 sectionsContents
- Intransitivity
- Antitransitivity
- Properties
- Cycles
- Occurrences in preferences<!--This section is linked from [[Preference (economics)]]-->
- Likelihood
- References
- Further reading
In mathematics, intransitivity (sometimes called nontransitivity) is a property of binary relations that are not transitive relations. That is, we can find three values a, b, and c where the transitive condition does not hold.
Antitransitivity is a stronger property which describes a relation where, for any three values, the transitivity condition never holds.
Excerpted from Wikipedia’s “intransitivity” article, available under the CC BY-SA 4.0 licence.