Title | On multidimensional distorded probability |

Publication Type | Conference Paper |

Year of Publication | 2005 |

Authors | Narukawa Y [1], Torra V [2] |

Editor | Liu Y. [3], Chen G. [4], Ying M. [5] |

Conference Name | Fuzzy logic, soft computing and computational intelligence. Eleventh International Fuzzy systems association world congress. July 28-31, 2005, Beijing, China. IFSA Congress. 3 vol. |

Publisher | Tsinghua University Press - Springer |

Pagination | 427 - 431 |

Abstract | This paper studies fuzzy measures and presents a representation theorem form-dimensional distorted probabilities. Such representation theorem is based on Kolmogorov superposition theorem. Then, such representation sugests to extend Hierarchically Decomposable Fuzzy Measures so that a new family of measures is defined. This family is parametric and with range that encompasses all fuzzy measures. |