Uncertainty theory influences classical mathematics

Success of a new theory can be measured by the extent of its impact in other, already well established fields. We report how such influence of possibility theory is now becoming to emerge in one of the very classical fields of mathematics - the theory of inequalities. We present a new class of inequalities for the rearrangement of sequences and functions, discuss some extremal problems in fuzzy optimization, and conclude with geometric inequalities related to evidence theory. This study is intended to emphasize this emerging trend towards fuzzy theory. We illustrate it through one of the topics above: we selected a group of results which are easily understood to a nonspecialist, and yet are. novel and attractive to a professional. We present a group of coordinated inequalities, of direct interest to specialists in possibilistic uncertainty as well as to specialists in the theory of inequalities