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Z-numbers are an important tool for representing uncertain and partially reliable information. Zadeh mentioned that one of the main problems is related to computational complexity that arises when a series of Z-numbers is considered. To address this problem, an approximate calculation for Z-numbers based on kernel density estimation is used. Numerical examples are provided for illustration purpose.

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Simple Arithmetic Operations of Z-Numbers Based on Kernel Distribution Function

  • 会议论文

  • 发表日期：

    2026年

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  • Akif Vali Alizadeh,
  • Rafig Rashad Aliyev,
  • Rashad Rafig Aliyev

摘要

Z-numbers are an important tool for representing uncertain and partially reliable information. Zadeh mentioned that one of the main problems is related to computational complexity that arises when a series of Z-numbers is considered. To address this problem, an approximate calculation for Z-numbers based on kernel density estimation is used. Numerical examples are provided for illustration purpose.