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Uncertain Zero-One Law and Convergence of Uncertain Sequence

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  • Zhiqiang Zhang
  • Weiqi Liu
  • Xiumei Chen

Abstract

This paper is concerned with situations in which the uncertain measure of an event can only be zero or one, and the uncertain zero-one laws are derived within the framework of uncertainty theory that can be seen as the counterpart of Kolmogorov zero-one law and Borel-Cantelli lemma, which can be used as a tool for solving some problems concerning almost sure convergence of uncertain sequence.

Suggested Citation

  • Zhiqiang Zhang & Weiqi Liu & Xiumei Chen, 2016. "Uncertain Zero-One Law and Convergence of Uncertain Sequence," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-4, January.
    • Handle: RePEc:hin:jnddns:2494583
    DOI: 10.1155/2016/2494583
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