Symbols

The descriptions of symbols

${\sigma }_i$

the standard deviation of the i indicator

${\overline{x}}_{ij}$

the average of the i indicator

${\delta }_i$

the coefficient of variation of the i indicator

$P_{ij}$

the normalized value obtained after the coordinate translation method

Z

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 i indicator

$g_i$

the difference coefficient of the i indicator

$w_{1i}$

the weight of variation of the i indicator

$w_{2i}$

the weight of improved entropy method of the i indicator

$p_1,p_2,\cdots ,p_n$

the weight values of each evaluation indicators which are arranged in descending order

$x_{1i}$

the correlation coefficient of the rainfall to the i indicator of state’s fragility

$x_{2i}$

the correlation coefficient of the temperature to the i indicator of state’s fragility

$s_{1i}$

the normalized data of the correlation coefficient of the rainfall to the i indicator of state’s fragility

$s_{2i}$

the normalized data of the correlation coefficient of the temperature to the i indicator of state’s fragility

$\Delta w_{1i}$

the correction value of weight of rainfall to the i indicator of state’s fragility

$\Delta w_{2i}$

the correction value of weight of temperature to the i indicator of state’s fragility

${w^{\prime }}_i$

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