Binary relations representable by utility functions with multiplicative error are considered. It is proved that if the error is a power of utility then the underlying binary relation is either an interval order, or a semiorder. Moreover, semiorders can be characterized among interval orders by the magnitude of the power of utility that is used in the form of error function.
A Representation for Intransitive Indifference RelationsEmel Filiz Ozbay and Erkut Y. Ozbay ,
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Mathematical Social Sciences