Some convergence theorems of fuzzy concave integral on fuzzy σ-algebra

In this paper, we consider the extension of the concave integral from classical crisp σ-algebra to fuzzy σ-algebra of fuzzy sets. Firstly, the concept of fuzzy concave integral on a fuzzy set is introduced. Secondly, some important properties of such integral are discussed. Finally, various kinds of convergence theorems of a sequence of fuzzy concave integrals are proved.