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<p>Z-number is a novel representation of uncertain information with its superiority in describing both constraint and reliability. How to generate Z-number is a pre-requisite and open issue in the application of Z-number. In this paper, a novel method of generating Z-number under group decision making environment is proposed. The constraint part (component <i>A</i>) of Z-number is derived from the linguistic evaluations of the experts. The reliability part (component <i>B</i>) is determined by the consistency of experts’ evaluations based on Shannon entropy. Several examples are provided to demonstrate the effectiveness of the proposed methodology.</p>

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A method of generating Z-number under group decision making environment

  • 期刊论文

  • 发表日期：

    2025年9月12日

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  • Xu Chen,
  • Xuefan Guan,
  • Xiaoyan Su

摘要

Z-number is a novel representation of uncertain information with its superiority in describing both constraint and reliability. How to generate Z-number is a pre-requisite and open issue in the application of Z-number. In this paper, a novel method of generating Z-number under group decision making environment is proposed. The constraint part (component A) of Z-number is derived from the linguistic evaluations of the experts. The reliability part (component B) is determined by the consistency of experts’ evaluations based on Shannon entropy. Several examples are provided to demonstrate the effectiveness of the proposed methodology.