### Abstract

In this study, we discuss the laws of large numbers for T-independent L-R fuzzy variables based on continuous Archimedean t-norm and expected value of fuzzy variable. First, by using continuous Archimedean t-norm, we derive several convergent properties of sum of L-R fuzzy variables in credibility measure and in expected value, respectively. Then, on the basis of the obtained convergent properties, we establish some laws of large numbers for T-independent L-R fuzzy variables.

Original language | English |
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Title of host publication | Proceedings of the 7th International Conference on Machine Learning and Cybernetics, ICMLC |

Pages | 3750-3755 |

Number of pages | 6 |

Volume | 7 |

DOIs | |

Publication status | Published - 2008 |

Event | 7th International Conference on Machine Learning and Cybernetics, ICMLC - Kunming Duration: 2008 Jul 12 → 2008 Jul 15 |

### Other

Other | 7th International Conference on Machine Learning and Cybernetics, ICMLC |
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City | Kunming |

Period | 08/7/12 → 08/7/15 |

### Keywords

- Credibility measure
- Fuzzy variable
- Independence
- Law of large numbers
- Triangular norm

### ASJC Scopus subject areas

- Artificial Intelligence
- Human-Computer Interaction
- Control and Systems Engineering

## Cite this

Wang, S. M., & Watada, J. (2008). On laws of large numbers for L-R fuzzy variables. In

*Proceedings of the 7th International Conference on Machine Learning and Cybernetics, ICMLC*(Vol. 7, pp. 3750-3755). [4621057] https://doi.org/10.1109/ICMLC.2008.4621057