## Abstract

T-independence of fuzzy variables is a more general concept than the classical independence. The objective of this study is to deal with some new properties of T-independent fuzzy variables. First of all, for any general t-norm, some criteria of T-independence are discussed for fuzzy variables under possibility, necessity and credibility measures. Subsequently, on the basis of left continuous t-norms, some formulas are derived on the "max" and "min" operations of the T-independent fuzzy variables in possibility distribution and in expectation. Finally, making use of continuous Archimedean t-norms, several convergence properties are discussed for T-independent fuzzy variables in credibility and in expectation, respectively, and some laws of large numbers are proved as well.

Original language | English |
---|---|

Pages (from-to) | 970-984 |

Number of pages | 15 |

Journal | Mathematical and Computer Modelling |

Volume | 53 |

Issue number | 5-6 |

DOIs | |

Publication status | Published - 2011 Mar |

## Keywords

- Convergence
- Fuzzy variable
- Independence
- Law of large numbers
- Operation
- T-norm

## ASJC Scopus subject areas

- Computer Science Applications
- Modelling and Simulation