### Abstract

We study the problem: if ζ_{1}, ζ_{2}, ... are fuzzy numbers with modal values M_{1}, M_{2}, ..., then what is the strongest t-norm for which {A figure is presented} where m_{n} = (M_{1} + ... + M_{n})/n, the arithmetic mean (ζ_{1} + ... + ζ_{n})/n i is defined via sup-t-norm convolution and Nes denotes necessity.

Original language | English |
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Pages (from-to) | 299-303 |

Number of pages | 5 |

Journal | Fuzzy Sets and Systems |

Volume | 45 |

Issue number | 3 |

DOIs | |

Publication status | Published - 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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## Cite this

Fullér, R. (1992). A law of large numbers for fuzzy numbers.

*Fuzzy Sets and Systems*,*45*(3), 299-303. https://doi.org/10.1016/0165-0114(92)90147-V