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27 Dec 2009 Calculation of Pareto points Function is intended for detecting Pareto points. Author: Eduard Polityko Eduard Polityko

Hi Anas,
Thanks for your question. You are absolutely right. You should only replace inequality sign. But for my opinion, will be better to replace F (goal function) by -F (minus F). It is a common practice for changing minimization on maximization and vice versa.
Best regards,
Eduard

27 Jan 2009 Calculation of Pareto points Function is intended for detecting Pareto points. Author: Eduard Polityko Eduard Polityko

Hi,
see http://www-new.mcs.anl.gov/otc/Guide/OptWeb/multiobj/. They say that non-dominated and Pareto are synonyms.
It was supposed (but not emphasized because of evidence), that result is Pareto set of matrix rows. And we have no points except of matrix rows and must do our choice among them only. Thus there is no distinction between non-dominated and Pareto in any case.
The definition of Pareto points demands at least one strict inequality. Therefore the only answer is that P and R are not Pareto points.
Regards, Eduard

19 Jan 2009 Calculation of Pareto points Function is intended for detecting Pareto points. Author: Eduard Polityko Eduard Polityko

Accordingly to definition of Pareto points these points are unique. And if P has Pareto properties and R has Pareto properties and P = R then they are not Pareto because there are no strict inequalities.
But I think now that it is useful to get information about such points. And I try in the next future to add an option to the function to find points mentioned above.

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