Title | Belief Functions on MV-algebras of Fuzzy Sets: An Overview |

Publication Type | Book Chapter |

Year of Publication | 2014 |

Authors | Flaminio T [1], Godo L [2], Kroupa T [3] |

Editor | Y. Torra NV [4], Sugeno M. [5] |

Book Title | Non-Additive Measures |

Volume | 310 |

Pagination | 173-200 |

Publisher | Springer |

Abstract | Belief functions are the measure theoretical objects Dempster-Shafer evidence theory is based on. They are in fact totally monotone capacities, and can be regarded as a special class of measures of uncertainty used to model an agent’s degrees of belief in the occurrence of a set of events by taking into account different bodies of evidence that support those beliefs. In this chapter we present two main approaches to extending belief func- tions on Boolean algebras of events to MV-algebras of events, modelled as fuzzy sets, and we discuss several properties of these generalized mea- sures. In particular we deal with the normalization and soft-normalization problems, and on a generalization of Dempster’s rule of combination. |

URL | http://link.springer.com/chapter/10.1007/978-3-319-03155-2_7 [6] |