Convergence of the power sequence of a nearly monotone increasing fuzzy matrix

Z.T. Fan and De-Fu Liu, on the power sequence of a fuzzy matrix, I. Convergent power sequence, submitted. Z.T. Fan and De-Fu Liu, On the power sequence of a fuzzy matrix, II. Oscillating power sequence, submitted. Z.T. Fan and De-Fu Liu, On the power sequence of a fuzzy matrix, III. The maximum principle of the second order, in preparation. Kandel, 1986 Hashimoto, 1983, Convergence of powers of a fuzzy transitive matrix, Fuzzy Sets and Systems, 9, 153, 10.1016/S0165-0114(83)80015-3 Hashimoto, 1983, Szpilrain's theorem on fuzzy matrix, Fuzzy Sets and Systems, 10, 101, 10.1016/S0165-0114(83)80108-0 Kim, 1980, Generalized fuzzy matrix, Fuzzy Sets and Systems, 4, 293, 10.1016/0165-0114(80)90016-0 Kolodziejczyk, 1988, Convergence of powers of s-transitive fuzzy matrices, Fuzzy Sets and Systems, 26, 127, 10.1016/0165-0114(88)90011-5 Li, 1989, Some results on the nilpotent fuzzy matrices, Fuzzy Systems Math., 1, 52 Li, 1994, Convergence of powers of controllable fuzzy matrices, Fuzzy Sets and Systems, 62, 83, 10.1016/0165-0114(94)90074-4 Thomason, 1977, Convergence of powers of a fuzzy matrix, J. Math. Anal. Appl., 57, 476, 10.1016/0022-247X(77)90274-8 Zhu, 1984, Convergence of powers of a fuzzy symmetric matrix, Fuzzy Math., 3, 45