On the max-contraction powers of a fuzzy matrix

摘要

In the literature, the powers of a fuzzy matrix with max-arithmetic mean/convex combination of max-min and max-arithmetic mean/convex combination of max-product and max-min compositions have been studied. It turns out that the limiting behavior of the powers of a fuzzy matrix depends on the composition involved. In this paper, we consider the max-contraction powers of a fuzzy matrix which is an extension of the max-arithmetic mean/convex combination of max-min and max-arithmetic mean/convex combination of max-product and max-arithmetic mean operation. We show that the powers of such a fuzzy matrix are always convergent and the limit matrix has the feature that all elements of each column are identical. (C) 2019 Elsevier B.V. All rights reserved.