Convergence of powers of a max-convex mean fuzzy matrix

Fuzzy matrices provide convenient representations for fuzzy relations on finite universes. In the literature, the behavior of powers of a fuzzy matrix with max-min/max-product/max-Archimedean t-norm/max-t-norm compositions have been studied. Conventionally, the algebraic operations involved in the study of powers of a fuzzy matrix usually belong to the max-t-norms. Recently the powers of a max-arithmetic mean fuzzy matrix have been studied. Typically, the max-arithmetic mean operation is not a max-t-norm. Since the max-arithmetic mean is a special example of the max-convex mean operations, we shall extend the study to powers of a max-convex mean fuzzy matrix in this paper. We show that its powers are always convergent.