Decomposition of intra-household disparity sensitive fuzzy multi-dimensional poverty index: A study of vulnerability through Shapley machine learning

Sugata Sen, Santosh Nandi
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Abstract

The well accepted multi-dimensional measures have failed to properly project the vulnerability of human-beings towards poverty. Some of the reasons behind this inability may be the failure of the existing measures to consider the graduality within the concept of poverty and the disparities within the household in wealth distribution. So, this work wants to develop a measure to estimate the vulnerability of households in becoming poor through incorporating the intra-household disparities through the factors which suffer from graduality. The decomposition of the grade of vulnerability on the causal factors is also under the purview of this work. To that respect the idea of fuzzy logic and decomposition through artificial intelligence has been used to develop a mathematical framework. So, the idea of Shapley Value Decomposition method has been used extensively. This decomposition is implemented here with the help of Shapley Machine Learning. This decomposition will help the planners to locate the role of different dimensions behind the vulnerability of human beings to become poor more efficiently.
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家庭内部差距敏感模糊多维贫困指数的分解:通过 Shapley 机器学习研究脆弱性
广为接受的多维度衡量标准未能正确预测人类在贫困面前的脆弱性。造成这种情况的部分原因可能是现有的测量方法没有考虑到贫困概念的渐进性和家庭内部财富分配的差异。因此,这项工作希望通过将家庭内部的差异纳入渐进性因素,制定一种估算家庭陷入贫困的脆弱性的措施。对因果因素的脆弱性等级进行分解也是这项工作的范围。为此,我们采用了模糊逻辑的思想,并通过人工智能进行分解,从而建立了一个数学框架。因此,沙普利值分解法的思想得到了广泛应用。在此,我们借助 Shapley 机器学习来实现这种分解。这种分解方法将帮助规划人员更有效地定位人类易受贫困影响背后不同维度的作用。
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