Abstract
This paper studies the case of the representation of a binary relation via a numerical function with threshold (error) depending on both compared alternatives. The error is considered to be multiplicative, its value being either directly or inversely proportional to the values of the numerical function. For the first case, it is proved that a binary relation is a semiorder. Moreover, any semiorder can be represented in this form. In the second case, the corresponding binary relation is an interval order.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
