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metric to compare inequalities

tevang
in Computer Science

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There are 5 parameters, R1-R5, with the following relation R1<R2<R3<R4<R5. An algorithm assigns some values to these parameter (P1,P2,P3,P4,P5) which are not so important as it is the relation between them (P3<P1<P2<P4<P5). Is there any way to quantify the difference between the inequality R1<R2<R3<R4<R5 and P3<P1<P2<P4<P5, where Pi is the predicted value of the parameter Ri?


thanks,
Thomas

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