A law of large numbers for fuzzy numbers

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31 Citations (Scopus)

Abstract

We study the problem: if ζ1, ζ2, ... are fuzzy numbers with modal values M1, M2, ..., then what is the strongest t-norm for which {A figure is presented} where mn = (M1 + ... + Mn)/n, the arithmetic mean (ζ1 + ... + ζn)/n i is defined via sup-t-norm convolution and Nes denotes necessity.

Original languageEnglish
Pages (from-to)299-303
Number of pages5
JournalFuzzy Sets and Systems
Volume45
Issue number3
DOIs
Publication statusPublished - Feb 10 1992

Keywords

  • Possibility
  • convergence theorem
  • fuzzy number
  • law of large numbers
  • necessity
  • probability
  • sequence of fuzzy numbers
  • triangular norm

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence

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