Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON THE POWER SEQUENCE OF A FUZZY MATRIX CONVERGENT POWER SEQUENCE

  • Tian, Zhou (Department of Applied Mathematics Beijing Polytechnic University) ;
  • Liu, De-Fu (Department of Applied Mathematics Beijing Polytechnic University)
  • Published : 1997.03.01

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Abstract

The convergence of the power sequence of an $n{\times}n$ fuzzy matrix has been studied. Some theoretical necessary and sufficient con-ditions have been established for the power sequence to be convergent generally. Furthermore as one of our main concerns the convergence index was studied in detail especially for some special types of Boolean matrices. Also it has been established that the convergence index is bounded by $(n-1)^2+1$ from above for an arbitrary $n{\times}n$ fuzzy matrix if its power sequence converges. Our method is concentrated on the limit behavior of the power se-quence. It helped us to make our proofs be simpler and more direct that those in pure algebraic methods.

Keywords

References

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