Study Some Important Inequalities In Fuzzy Integrals

In this paper is to show that, in the absence of any additivity and linearity assumptions, good convergence properties still hold for the fuzzy integral, and inequalities in fuzzy integrals are introduced and illustrated and some of their properties are pointed. It will be shown that a given classic inequality is not true for fuzzy integrals. Then, by adding some conditions, we will obtain a new inequality which is true for fuzzy integrals.

Keywords:

Fuzzy measure , fuzzy integral , fuzzy integral inequality , monotone convergence theorem.