Symbols | The descriptions of symbols |

${\sigma}_{i}$ | the standard deviation of the |

${\overline{x}}_{ij}$ | the average of the |

${\delta}_{i}$ | the coefficient of variation of the |

${P}_{ij}$ | the normalized value obtained after the coordinate translation method |

| coordinate panning magnitude |

${w}_{i}$ | combination weights |

${R}_{En}$ | the coefficient of difference degree |

${w}_{j}$ | the weight of rainfall to fragility of the country |

${w}_{w}$ | the weight of temperature to fragility of the country |

${{w}^{\prime}}_{i}$ | improved weight of twelve fragile states index |

${R}_{ij}$ | the proportion of indicators |

${e}_{i}$ | the entropy value of the |

${g}_{i}$ | the difference coefficient of the |

${w}_{1i}$ | the weight of variation of the |

${w}_{2i}$ | the weight of improved entropy method of the |

${p}_{1},{p}_{2},\cdots ,{p}_{n}$ | the weight values of each evaluation indicators which are arranged in descending order |

${x}_{1i}$ | the correlation coefficient of the rainfall to the |

${x}_{2i}$ | the correlation coefficient of the temperature to the |

${s}_{1i}$ | the normalized data of the correlation coefficient of the rainfall to the |

${s}_{2i}$ | the normalized data of the correlation coefficient of the temperature to the |

$\Delta {w}_{1i}$ | the correction value of weight of rainfall to the |

$\Delta {w}_{2i}$ | the correction value of weight of temperature to the |

${{w}^{\prime}}_{i}$ | corrected weights |

${W}_{ij}$ | initial weight between Hidden layer and Input layer |

${x}_{i}\left(p\right)$ | Input of neural network |

${a}_{j}\left(p\right)$ | the actual output of hidden layer |

${v}_{jr}$ | the weights between the output and hidden layers |