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The elucidation of multipliers and their moments in fuzzy closed Leontief input-output systems

机译：模糊封闭Leontief输入输出系统中乘数及其矩的解析

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Input-output systems can form a centrepiece for the analysis of the interrelationships between industries (sectors) in national and regional economies. The acknowledgement of inherent imprecision in the technical coefficients that describe these interrelationships has led to analysis in both stochastic and fuzzy frameworks. The stochastic approach has enabled the composition of descriptive moments (including mean, standard deviation) on evaluated multiplier values used to inform policy on individual sectors. This paper investigates analogous fuzzy multipliers and their moments within fuzzy closed Leontief input-output systems, utilising two forms for the levels of fuzziness inherent in the systems considered. In particular, we consider the fuzzy defined versions of the following multipliers: output, truncated output and simple household input multipliers. The emphasis is on the visual representation of the empirical results, with the study offering a benchmark elucidation for this type of fuzzy analysis.
机译：投入产出系统可以成为分析国家和区域经济中产业（部门）之间相互关系的核心。对描述这些相互关系的技术系数固有的不精确性的认识导致了对随机和模糊框架的分析。随机方法已使描述性矩（包括均值，标准差）能够在评估乘数值上组合，这些乘数值用于为各个部门提供政策依据。本文研究了模糊封闭Leontief输入输出系统中的类似模糊乘数及其矩，利用两种形式来考虑所考虑系统固有的模糊程度。特别是，我们考虑以下乘数的模糊定义版本：输出，截断输出和简单家庭输入乘数。重点是实证结果的直观表示，该研究为此类模糊分析提供了基准说明。

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