  It is shown that in the case of a single decision maker who optimizes several
possibly conflicting objectives, the amount of information available in
preference relations among pairs of possible decisions, when compared with all
other possible information, is tending to zero exponentially with the number of
those different objectives. Consequently, in the case of a larger number of
conflicting objectives, the only way to obtain a satisfactory amount of
information is by the use of non-preference type relations among possible
decisions.
