On the oscillating power sequence of a fuzzy matrix

@article{Fan1998OnTO,
  title={On the oscillating power sequence of a fuzzy matrix},
  author={Zhou-Tian Fan and De-Fu Liu},
  journal={Fuzzy Sets and Systems},
  year={1998},
  volume={93},
  pages={75-85}
}
Abstract The properties of an oscillating power sequence of an n × n fuzzy matrix have been studied. The necessary and sufficient conditions have been established for a power sequence to be oscillatory. Furthermore, the oscillation index was detailed to some degree; especially for some typical Boolean matrices. It is also shown that the period index set of the power sequences of fuzzy matrices of order n is not bounded from above by a power of n for all integers n . 

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