Investigating the effect of uncertainty in the distribution of electricity consumption in economic sectors on the level of inequality between income deciles in Iran (fuzzy regression approach)

The uncertainty in economic variables imposes irreparable effects on the society. Therefore, it is necessary to prevent the consequences of uncertainty in the economy. One of these phenomena is the impact of uncertainty in electricity and lighting consumption on inequality between income deciles. Therefore, investigating the impact of uncertainty in the economy on income distribution requires accurate modeling. In this article, by using the fuzzy regression model with symmetric and asymmetric coefficients in the MATLAB and Wegamz environment, the effect of uncertainty in the distribution of electricity consumption on the Gini coefficient of income deciles in Iran for the period of 2015-2018 has been investigated. The results show that the range of the right and left width of the Gini coefficient of all income deciles, except the first and second deciles, did not deviate significantly until 2013. However, since 2010, the range of deviation of the right and left width has increased, which indicates the increase in inequality in income distribution in the mentioned years. This issue highlights the importance of the distribution of electricity and lighting consumption in reducing income inequality to the extent of the left width on the income distribution. The evaluation of the results shows the extraordinary efficiency of the regression model with fuzzy coefficients.