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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. [ABSTRACT FROM AUTHOR]

This paper focuses on a classical problem of computing max-min inverse fuzzy relation. The resolution for the problem is useful for solving the well known problems of fuzzy abductive/backward reasoning. We propose a simple analytical method for finding its exact solutions or approximate solutions. Some examples are given to illustrate our results. [ABSTRACT FROM AUTHOR]